The floating offshore wind turbine (FOWT) has strong background response due to overall sway, which presented in the frequency domain as the peak response being dominated by the excitation frequency and varying with the changing of load frequency.The frequency imbalance occurs when using traditional tuned mass damper (TMD) for vibration control, and resulting in poor performance.A magnetorheological elastomer-pounding tuned mass damper (MRE-PTMD) was designed and proposed for semi-active control of FOWT.In this device, the stiffness adjustable characteristic of MRE was utilized to achieve real-time adjustment of damper frequency through semi-active control technology, maintaining optimal control of the FOWT.At the same time, the viscoelastic limiting device was introduced to protect the MRE material and realize the collision energy dissipation.Taking the barge type FOWT as an example, a 17 degrees of freedom dynamic equation including the control device was established to study its vibration reduction performance and parameter influence under the combined action of wind and waves, and compared with traditional TMD.The results show that the proposed control device can adjust the control parameters of the damper in adaptive manner through real-time tracking of the structural response, and has better vibration reduction performance and adaptability compared to traditional TMD.Increasing the mass ratio of dampers is an effective way to improve the performance of MRE-PTMD.By designing the damper mass ratio and collision parameters reasonably, MRE protection and device miniaturization can be achieved without significantly affecting the vibration reduction effect.
A mathematical model of the graded metamaterial beam was established by using the spectral element method for calculating the vibration transmission characteristics of the beam.The effects of the graded mass parameters and graded position parameters of the local resonators on the vibration suppression performance of the metamaterial beam were studied theoretically.Based on the spectral element model of the metamaterial beam, a non-dominated sorting genetic algorithm II for the multi-objective optimization was introduced to optimize the graded parameters of the local resonators for achieving relatively superior vibration suppression performance of the beam.With the varied graded values of the local resonators, a Pareto solution set was obtained.The advantage performance of the optimal multi-parameter configuration was explored by comparisons with the conventional configuration and the optimal single-parameter graded configuration.The results indicate that with an appropriate selected Pareto optimal solution, the metama-terial beam can obtain wider attenuation bandwidth and higher average attenuation intensity as compared with the conventional configuration and the optimal single parameter configuration.When the mass variable Δm=-0.002 6 kg and the position variable Δa=0.077 m for the graded local resonators, the attenuation bandwidth of the graded metamaterial beam is 524 Hz and the average attenuation intensity is -26.1 dB.Compared with the corresponding values of the conventional metama-terial beam, the corresponding performance is improved by 59.0% and 39.6%, respectively.The research can provide theoretical guidance for the design of the graded metamaterial beam with local resonators.
To further understand the impact of corner rounding treatment on the flow characteristics of two tandem square cylinders with small gaping ratios, the numerical simulation based on unsteady Reynolds-averaged Navier-Stokes approach at Re=22 000 was carried out, where the corner rounding treatments of 0, 5%, 10%, 15%, 16%, 17%, and 20% was applied to the upstream square cylinder, and the effect of rounded corner ratio on the aerodynamic characteristics and flow field was also comprehensively analyzed.The results indicate that as the rounded-corner ratio of the upstream square cylinder increases, the drag coefficient of the upstream square cylinder gradually decreases, while the drag coefficient of the downstream square cylinder remains relatively unchanged.The lift coefficients of both the upstream and downstream square cylinders exhibit an initial decrease followed by an increase, with optimal aerodynamic performance occurring around a rounded-corner ratio of 16%.The increase in the rounded-corner ratio of the upstream square cylinder will lead to a decrease in the mean wind pressure coefficients of the upstream and downstream square cylinders, and the fluctuating wind pressure coefficient of the upstream and downstream square cylinders shows a trend of first decreasing and then increasing.Compared to the square cylinder without corner rounding, the corner rounding treatment of the upstream square cylinder decreases the shear flow diffusion angle, bringing the separation vortex closer to the square cylinder wall, which results in an earlier flow reattachment on the downstream square cylinder and accelerates the vortex shedding rate.
Addressing the challenge that the traditional energy harvesting devices struggle to efficiently harvest low-frequency vibration energy, this paper utilizes the interaction between magnets to design a magnet-induced negative stiffness mechanism and extends it to the triboelectric nanogenerator (TENG), proposing a pendulum-type tristable triboelectric nanogenerator (PT-TENG) for harvesting low-frequency vibration energy. Firstly, the model design and working principle of the PT-TENG are introduced. Secondly, the electromechanical coupling model of the PT-TENG is established. Subsequently, the numerical methods are used to study the mechanical characteristics and electrical performance of the PT-TENG. Furthermore, the effects of key system parameters on the performance of the PT-TENG are analyzed. Finally, a prototype of the PT-TENG is fabricated, and the validation and application demonstration experiments are conducted. The results show that the PT-TENG can efficiently convert low-frequency vibration energy into electrical energy, with a maximum output power of 0.27 mW, capable of driving the LED array. Moreover, the low-frequency energy harvesting bandwidth of the PT-TENG can be effectively broadened by selecting appropriate system parameters. Therefore, this paper has guiding significance for low-frequency vibration energy harvesting and the design of self-powered devices.
Compared to traditional real-time hybrid simulation (RTHS), multi-axis real-time hybrid simulation (maRTHS) offers a more realistic simulation of complex structures under multi-dimensional dynamic loads. However, addressing time delay compensation in multi-axis servo loading systems requires a multi-input multi-output control strategy, which is significantly more complex and challenging than the time delay compensation problems in conventional real-time hybrid simulation. This paper proposes a decentralized unscented Kalman filter-based two-stage adaptive time-delay compensation (D-UKF-TAC) method. This method allocates control tasks to individual actuators for independent compensation, reducing the computational complexity of time delay compensation while maintaining high accuracy and ease of implementation. Using the benchmark problem of maRTHS as a basis, simulations were conducted to validate the effectiveness of the D-UKF-TAC method. The results demonstrate that under the nominal model, the D-UKF-TAC method can reduce time delay compensation to 0 ms, eliminating delay effects and significantly improving compensation accuracy. In uncertain models, compared to the benchmark LQG control method, the D-UKF-TAC method reduces the maximum standard deviation of evaluation metrics by 94.07%. Furthermore, under varying levels of measurement noise, the D-UKF-TAC method consistently exhibits high precision and robustness.
In view of the difference between the airflow state in the tensile section and the compression section of the throttling pipe air damping spring, the dynamic mechanical model of the air damping spring with stretch and compression separation flow is constructed, and the mathematical expressions of its equivalent stiffness and equivalent damping coefficient under the stretch and compression separation flow are given. Based on the MTS test bench, its static and dynamic characteristics were tested. The results indicate that the maximum relative errors of the static hysteresis loop, its area, equivalent stiffness, and equivalent damping coefficient are less than 2.4%, 7.2%, 9.67%, and 9.03%, respectively, which verified the effectiveness of the model, and analyzed the perturbation law of the key design parameters of the throttling pipe on its static and dynamic characteristics. The research results provide a new idea for the innovative design of double-throttling pipe air damping springs.
In order to solve the analytic Jacobian matrix of the non-smoothing nonlinear system and realize the amplitude-frequency response analysis of the system, an alternate state space method based on the time-domain shooting method was proposed. Firstly, the state transition conditions of the non-smoothing nonlinear force are derived, state transition points are solved using the dichotomy method, and the non-smoothing nonlinear system is divided into several smoothing nonlinear systems. Then, the response sensitivity equations of the smoothing nonlinear system are derived, and the response sensitivity mapping equation of the non-smoothing nonlinear system before and after the state transition points are established to characterize the response sensitivity jump relationship, and then an alternate state space method is developed to solve the response sensitivity mapping equation to obtain the Jacobian matrix of the system. Finally, the periodic response boundary value problem is established based on the shooting method, and the periodic response analysis is realized through the Jacobian matrix and Newton iteration, and the frequency domain response analysis is realized by combining the continuation method. Numerical results show that the proposed method can effectively solve the amplitude-frequency response and stability of impact oscillator and time-varying stiffness dry friction system, and has a good engineering application prospect.
This paper focuses on the axial-flow water-jet propulsion pump as the research object. Based on biomimetic principles, a biomimetic noise-reduction design is applied to the impeller blades of the water-jet propulsion pump. The hydrodynamic performance and flow-induced noise of the pump before and after the biomimetic design are numerically calculated using a CFD/CAA hybrid method. By comparing and analyzing the results, it is found that although the efficiency of the biomimetic pump with the biomimetic design of the impeller trailing edge is lower than that of the prototype pump, it demonstrates better noise reduction performance. The overall sound pressure level of the pump’s flow noise is reduced by up to 4.96 dB in the frequency range of 25–4000 Hz. Finally, experimental measurements of the hydrodynamic performance and flow noise of both the original and the biomimetic water-jet propulsion pumps are conducted. The experimental results show that the overall sound pressure level of the flow noise in the frequency range of 10–4000 Hz for the biomimetic pump is 3.84 dB lower than that of the prototype pump, verifying the actual noise reduction effect of the biomimetic design on the water-jet propulsion pump.
This paper proposed a new type of graded stiffness module in optical fiber hydrophone towed array. In the vibration isolation module, a single high-stiffness thick rope is replaced by a number of low-stiffness thin ropes, and the length allowance of each thin elastic rope is designed. When working, each elastic rope is stressed in turn to realize the adaptive change of stiffness under different towed speeds, so as to achieve the best vibration isolation effect. The simulation analysis show that the vibration reduction amount of the new vibration isolation module is about 5.2dB@0.66Hz higher than that of the ordinary vibration isolation module at low towed speed. The towed comparison test in the lake shows that the new vibration isolation module has about 2~3dB@100Hz lower towed noise at the speed of 2m/s, about 1~2dB@100Hz lower towed noise at the speed of 3m/s, and about 1.5dB@100Hz lower towed noise at the speed of 6m/s.
Cable hoisting system in the lifting process due to the hook suddenly jump tongue or breakage will lead to the weight off the hook fall, which will make the load-bearing cable jump vibration, for this kind of multi-span continuous suspension structure of the jump vibration problem, is still to be explored. To this end, the paper firstly based on the principle that the vibration law of single-span cable with time change is the same as that of multi-span continuous cable, the load-bearing cable is cut into several single-span cable structures at the supporting place, so as to establish the vibration differential equations of each single-span cable structure, and then the characteristic equations of the load-bearing cable containing the intrinsic frequency and the shape function are derived according to the principle of dynamic equilibrium and deformation coordination of the single-span cable structure, and then the initial velocity is constructed by taking the position of decoupling as the initial velocity condition, and the sudden decoupling of the weight is then calculated. Then the sliding-jumping model after sudden decoupling is constructed, and the main vibration and free vibration modes of the load-bearing cables are established, and finally analyzed by combining with the cable hoisting system used in the construction of Meixi River Bridge. The results show that: after the weight decoupling, the frequency and amplitude of the load-bearing cable in the first 3 cycles gradually decrease with the increase of time, thus generating the jumping vibration, and the frequency of the load-bearing cable starts to stabilize later, and the 1st-order vibration waveform plays a dominant role, and all points are simple harmonic vibration with the same attitude; the change of the lifting weight doesn't change the form of the load-bearing cable's nonlinear motion, but it will obviously affect the nonlinear vibration frequency and amplitude. Through the analysis of the main vibration characteristics of the change rule, found that the most unfavorable decoupling position of the cable hoist system is located in the tenth point, the second point and the fourth point.
To clarify the complex nonlinear characteristics of multi particle dampers, different equivalent single particle mechanical models have been proposed based on the analysis of multi particle motion states. However, the differences in assumptions of different mechanical models have a certain impact on the correct understanding of the vibration reduction mechanism of particle dampers. On the basis of fully analyzing the motion state of a single particle, a full state equivalent single particle mechanics model is proposed, as well as the corresponding simulation analysis methods. On this basis, the vibration reduction performance corresponding to different equivalent mechanical models is discussed. The parameter influence analysis was conducted based on the full state equivalent single particle mechanics model subsequently. The research results under free vibration indicate that the additional damping ratio of the structure exhibits nonlinear attenuation with the displacement of the structure. The assumption of different motion states has a certain impact on this nonlinear characteristic. The comparative analysis results under harmonic excitation show that the excitation amplitude has a significant impact on the vibration reduction effect, which variation pattern also influenced by the assumptions of different mechanical model. The analysis of vibration reduction effect under earthquake motion shows that the assumption of motion state has a certain impact on the vibration reduction performance. The variation law of vibration reduction performance with peak acceleration corresponding to different mechanical models has certain similarities with that under harmonic excitation. The parameter influence analysis of the damping performance based on the full state equivalent model shows that different parameters have a certain impact on the damping effect. Among them, the influence of rolling friction is not significant. The influence analysis of different mechanical model assumptions on vibration reduction performance mentioned above has good research significance for further understanding the complex nonlinear characteristics of particle dampers, as well as the parameter influence analysis in the end.
An oscillator chain composed of three oscillators with the same mass is designed and tested to clarify the influence of stiffness characteristics on the non-reciprocity of vibration energy transfer. The differences of vibration energy transfer in both positive and negative directions of the oscillator chain with different stiffness characteristics (oscillators are only connected by linear springs, oscillators are only connected by purely nonlinear springs, oscillators are connected by linear springs and purely nonlinear springs) are studied experimentally. Sweep frequency and fixed frequency excitations are applied to the oscillator chain in positive and negative directions, respectively. The acceleration and displacement responses are compared in the two experiment cases. The results show that the non-reciprocity is weak when only the linear springs are used, and the non-reciprocity is significantly enhanced when the purely nonlinear springs are added to the chain. The oscillator chain exhibits the strongest non-reciprocity when only the purely nonlinear springs are installed. The experiments demonstrate that the larger the proportion of nonlinear part in the restoring force, the stronger the non-reciprocity of vibration energy transfer.
The symmetrization of coefficient matrices in wave equations is an effective approach to unifying diverse types of wave equations and mitigating the challenges associated with wave propagation modeling, having achieved remarkable successes in the domains of acoustic wave equations and elastic wave equations in both isotropic and anisotropic media. This paper aims to derive the symmetric format of coefficient matrices for the wave equation in two-phase media. Subsequently, we incorporate a multi-axis perfectly matched layer (PML) and adopt the upwind summation by parts―simultaneous approximation terms(SBP-SAT) finite difference method to discretize the wave equation. Furthermore, an energy-based approach is utilized to assess the stability of the proposed method. Numerical simulations demonstrate that the presented discretization framework exhibits high integration capability, robust stability, and strong scalability. Additionally, our approach enables stable simulation of wave propagation in curved domains while reducing implementation costs, thereby underscoring the broad application prospects of coefficient matrix symmetrization methods and their discretization frameworks in the field of wave propagation modeling.
The elastic wave transmission properties in periodic metamaterials are characterized by their band structures, and the star-shaped negative Poisson's ratio mechanical metamaterials have excellent prospects for vibration mitigation and noise reduction applications due to their wide bandgap. To further improve their low-frequency vibration mitigation behavior, a load-bearing star-shaped elastic wave metamaterial micro-structure is designed based on a locally resonant arrow-shaped vibrator. The microscopic load-bearing and bandgap properties of the unit cell are calculated with and without the additional vibrator by using the structural finite element method combined with two categories of periodic boundary conditions, respectively. The vibration reduction characteristics of its order-constructed meta-structure are analyzed via structural finite element method. The titanium alloy specimens of the meta-structure are fabricated by 3D printing technique and the dynamic tests are carried out on vibration mitigation performance. The results show that the additional vibrator breaks the diagonal rotational symmetry of the intrinsic modes of the star-shaped metamaterial in the 45° wave vector direction, which opens a low-frequency locally resonant bandgap. This study strengthens the low-frequency vibration mitigation characteristics of star-shaped metamaterials while ensuring their microscopic load-bearing performance, which is also of reference value for the design and regulation of elastic band structures of other elastic-wave metamaterials.
Pattern recognition is a critical step in the modeling and application of mechanical systems, as well as a cornerstone of industrial processes. However, the high sparsity and noise inherent in mechanical systems introduce new challenges to pattern recognition, making many implicit patterns difficult to uncover using traditional physical methods. In this context, machine learning methods offer a powerful alternative by leveraging algorithmic induction and reasoning to identify hidden patterns, thus uncovering the specific expressions and laws governing mechanical systems. Nevertheless, in practical applications, training samples inevitably contain numerous undetected patterns, referred to as false-negative samples. To address this issue, multi-instance learning, a weakly supervised learning algorithm, demonstrates significant advantages. This study introduces multi-instance learning into the domain of pattern recognition for mechanical systems, constructing a hybrid deep learning model to infer patterns. The findings validate that the multi-instance learning approach effectively addresses the weak-label problem, simultaneously reducing the precision requirements of datasets and significantly enhancing model stability.
The issue of low diagnostic accuracy is caused by the significant differences in fault data distributions between the source and target domains under different operating conditions, as well as the difficulty in effectively characterizing the nonlinearity and non-stationarity of the fault signals. A fault diagnosis method for harmonic gear reducers is proposed, which combines centralized information fusion with deep transfer learning networks. Firstly, modal components of the complex signals are extracted using variational mode decomposition (VMD) based on the dragonfly algorithm (DA), and a uniaxial time-frequency image is obtained through the combination with Hilbert time-frequency mapping. Secondly, the three-axial time-frequency images are fused by wavelet transform to construct the fused image samples. Thirdly, on the basis of the residual network (ResNet), the convolutional block attention module (CBAM) is integrated, and the joint maximum mean discrepancy (JMMD) method is introduced to measure the joint distribution difference between different domains, and the domain migration deep network is constructed to realize the migration fault diagnosis of harmonic reducer under variable working conditions. Finally, the experimental verification is carried out by the experimental platform of the harmonic reducer. In the variable working condition diagnosis task, the highest recognition rate of the proposed method can reach 98.75%, and the average diagnosis result is 95%, which can realize the fault diagnosis of the variable working condition harmonic reducer.
EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE
In order to study the influence of pipeline-equipment coupling effect on the seismic response of vertical mixed frame structure of petrochemical equipment, a scale specimen of shaking table test of vertical mixed frame structure of petrochemical equipment was designed with geometric similarity ratio of 1:10. The finite element software ABAQUS is used to establish three kinds of working conditions, including not considering equipment coupling effect, considering equipment coupling effect and considering pipeline-equipment coupling effect, with a total of four specimen models. Through time-history analysis, the influence of pipeline-equipment coupling effect on the dynamic characteristics, failure forms and damage of vertical hybrid frame structures under frequent and rare earthquakes is compared and analyzed. The results show that ABAQUS model is consistent with the first three modes of PKPM calculation structure, and the period error is less than 2%. ABAQUS calculation results can well reflect the dynamic response characteristics of the structure. Considering the coupling effect of equipment (pipeline-equipment), the basic natural vibration period of the structure increases significantly, and the inter-story displacement angle increases by 1.48 times to 2.79 times. Under frequent earthquakes, the inter-story displacement angle of the bottom story exceeds the requirements of the code, and the horizontal acceleration amplification coefficient of each floor shows an increasing trend. The acceleration amplification coefficient of the main equipment is stronger than that of the floor where it is located, and the damage of the lower floor of the structure is obviously aggravated, which makes it impossible to keep the main structure in a "small earthquake elasticity" state. After considering the coupling effect of multi-support cross-layer pipeline, the structural dynamic response is more significant than only considering the equipment specimen because the deformation of multi-support cross-layer pipeline is inconsistent with the floor. Considering the influence of pipeline coupling effect between equipment, the dynamic response of the structure is slightly reduced. Combined with the above conclusions, we can refer to ASCE code in structural design at this stage. When the equipment mass accounts for more than 25% of the total system mass, the coupling effect should be considered, and it is suggested to increase the elastic-plastic time history analysis of the equipment model.
Utility tunnel is infrastructure system that concentrate multiple municipal pipelines in underground passages. As linear structure, it inevitably cross non-homogeneous soil. To accurately assess the seismic damage of shallow-buried utility tunnel in non-homogeneous soil, this paper derives an equivalent nodal force formula suitable for horizontal non-homogeneous field based on viscous-spring artificial boundary. A 3D model of the utility tunnel-soil is constructed using finite element software, and a plugin is developed to simulate the 3D oblique incidence of SV waves in horizontal non-homogeneous field. The maximum interlayer displacement angle of the utility tunnel is taken as the damage indicator, the peak ground acceleration (PGA) serves as the seismic intensity indicator, and the IDA (Incremental Dynamic Analysis) method is used for structural vulnerability analysis. The effects of SV wave incidence angles, seismic wave types, and non-homogeneous field on the seismic performance of the utility tunnel are considered. The results show that the failure probability of utility tunnel increases with both the incidence angle and the PGA. Under the action of pulse waves, the failure probability is higher than under non-pulse waves. When the incidence angle is 30° and the PGA exceeds 0.6 g, the probabilities of life safety (LS) and collapse (CP) increase. The failure probability in non-homogeneous regions is higher than in sand and clay. The maximum interlayer displacement angle increases with the incidence angle and is accompanied by increased PGA dispersion. The vulnerability curves provided in this paper can serve as a reference for seismic design of underground structures.
As an effectively simplified method in the field of structural response analysis, Endurance Time Analysis method limits its application to pulse-like ground motions because the endurance time acceleration function synthesized based on the frequency-domain ground motion spectra do not accurately reflect the pulse characteristics in the domain. In order to apply the ETA method to the dynamic response analysis of cable-stayed bridge under near-fault pulse-like ground motion, the contributions of these components toward the dynamic responses under different intensity measures were investigated based on Incremental Dynamic Analysis, and the response prediction model for cable-stayed bridge considering the effects of pulse and strength characteristics was established. Coupled with the response results under residual motion obtained via the ETA method, the estimated response under pulse-like motion was predicted using the proposed prediction method. The results show that, the established prediction model can accurately express the quantitative relationship between the response under high-frequency component and the original ground motion. Based on a comparison of the average results of the IDA and the ETA analytical model under pulse-like motion at 0.6g, the maximum average error was found to be approximately 10%, with good prediction accuracy. The results of the study provide technical support for the efficient and reasonable calculation of the dynamic response of cable-stayed bridge under near-fault pulse-like ground motion.
The duration of ground motion significantly affects the seismic response of structures, making it essential to incorporate duration effects in the seismic design of engineering structures and regional seismic hazard analyses. This study presents a ground motion significant duration prediction model based on the Light gradient boosting machine(Light-GBM) algorithm. Utilizing the NGA-West2 database, 15,541 ground motion records were selected, and their significant durations were calculated. Feature importance analysis was employed to select input parameters, and Bayesian optimization was used to fine-tune the model's hyperparameters. The resulting predictive model was then compared with traditional models and deep learning approaches to validate its accuracy and robustness. The results indicate that the proposed model exhibits excellent predictive performance, high computational efficiency, and strong generalizability. These findings provide valuable insights for ground motion duration prediction and seismic hazard analysis.
Due to the diverse types and shapes of artifacts, a general-purpose seismic isolation device for museum showcases is proposed to enhance the applicability of seismic measures to different artifacts. The versatility of the isolation device was validated through shaking table tests and finite element simulations. The results show that the designed seismic isolation device has excellent isolation performance and can be applied to various artifacts weighing less than 8 kg and a height-to-width ratio of less than 3. None of the six different types of artifacts with significant mass differences were damaged under a unidirectional seismic action with a PGA of 0.62g, and the maximum displacement of the isolation device remained within the design range. The isolation device starts to activate under a seismic action with a PGA of 0.2g, maintaining an isolation rate of about 80%, which does not vary with changes in the input earthquake PGA or the type of artifact. As the input earthquake PGA increases, the residual displacement of the isolation device also increases. Reducing the friction coefficient of the sliding rails or increasing the stiffness of the springs can further reduce residual displacement and enhance the self-resetting capability of the isolation device.
To accurately identify bridge roughness during vehicle travel, this paper proposes an IPSO-BPNN (Improved Particle Swarm Optimization, Backpropagation Neural Networks) adaptive unknown input discrete Kalman filter algorithm. Using a vehicle-bridge coupling model, the vertical displacement at the tire-bridge contact point is treated as the unknown input, while wheel displacement, acceleration, and vehicle body acceleration are used as the observation vector to design the unknown input Kalman filter. An improved particle swarm optimization algorithm is applied to obtain the optimal measurement noise covariance matrix for different bridge roughness levels. A BP neural network classifies bridge roughness levels in real time, and both methods work together to adaptively update the Kalman filter’s measurement noise matrix. Simulations under various driving speeds, bridge roughness levels, and vehicle-bridge mass ratios were conducted, and a shaking table experiment was designed to validate the approach. To match the quarter suspension model of the vibration table, the parameters of the two-degree-of-freedom vehicle model and the bridge model are scaled proportionally to ensure the similarity of the deflection curve and vertical displacement of the bridge after scaling. Results show that the proposed method improves root mean square error, maximum absolute error, and correlation coefficient by 11.29%, 33.52%, and 2.84%, respectively, demonstrating high accuracy and robustness.
In order to study the propagation law of traffic vibration in the ancient pagoda, based on the measured traffic load data, the global model and local refined model of the Bayun Pagoda were established by using the finite element analysis software. The time-history analysis was carried out to study the influence of different vibration source distances on the dynamic response and fatigue damage of the pagoda. The results show that the horizontal vibration frequency of the Pagoda is 5-15 Hz, the vertical vibration frequency is 3-10 Hz, and the vibration is mainly concentrated in the low frequency band. With the increase of floors, the horizontal and vertical vibration velocities of the tower are on the rise, especially the horizontal vibration velocity shows obvious whipping effect, while the increase of vertical vibration decreases gradually. When the vibration source distance increases, the horizontal vibration velocity decreases as a whole, but there is local vibration amplification. When the distance of the vibration source is close to 2.5 meters, the horizontal vibration velocity at the maximum load-bearing point of the tower body is close to the allowable vibration limit, which has potential safety hazards. Through local refined modeling, the stress distribution of the tower body and the fatigue life of key parts can be further analyzed. The research results can provide reference for the preventive protection of similar cultural relics.
The structural system of the novel main-cable-looped suspension bridge is relatively flexible, making it prone to wind-induced buffeting, leading to structural vertical deformation. Therefore, it is crucial to study the wind-induced buffeting deformation response for the novel suspension bridge structural system. According to the first novel main-cable-looped suspension bridge in China, a three-dimensional finite element model of the Yellow River Three Gorges Bridge was established using ANSYS software. The steel truss girder segment model was manufactured, and wind tunnel testing was conducted at different wind attack angles to determine the aerodynamics coefficients for the steel truss girder. Based on the wind field characteristics of the bridge site, the harmonic synthesis method was used to establish the three-dimensional fluctuating wind of the steel truss girder, and the simulated fluctuating wind was verified. Time domain analysis was conducted on the nonlinear buffeting response of the Yellow River Three Gorges Bridge, and the effect of fluctuating wind parameters on the vertical deformation response of the novel suspension bridge structural system was studied. The results show that the ground-anchored hanger can significantly control the upward structural deformation for the novel main-cable-looped suspension bridge under wind-induced buffeting. The upward structural deformation of the girder and the main cable at the middle span can be reduced by about 7% and 14%, respectively. Under the action of wind-induced buffeting, the maximum vertical deformation of the novel main-cable-looped suspension bridge increases nonlinearly with the increase of the average wind speed, and the growth rate of the maximum vertical deformation of steel truss girder and U-shaped main cable at the middle span is significantly changed when the average wind speed is 19.5 m/s. Within 10 range, with the increase of wind attack angle, the maximum vertical deformation of the novel main-cable-looped suspension bridge increases firstly and then decreases. The maximum upward deformation of steel truss girder and U-shaped main cable span reaches the peak at the wind attack angle of -4 and the maximum downward deformation reaches the peak at the wind attack angle of 0
Bridge surface roughness is an important factor affecting the vehicle-bridge dynamic interaction, meanwhile, accurate identification of bridge surface roughness is crucial for bridge dynamic parameter identification and structural safety assessment based on the vehicle response. Consequently, a novel algorithm for estimating bridge surface roughness from a single-axle test vehicle was proposed. Compared with previous methods, the proposed method only requires one acceleration sensor to be installed on the vehicle. The proposed method includes the following procedures. First, establishing a state-space model of the VBI system with unknown excitation (such as bridge surface roughness); Then, the VBI system response can be obtained from the numerical simulations or field tests, and the improved state space model of VBI system can be reconstructed by combining and expanding the vehicle response; Finally, the Kalman filter algorithm is applied to identify the VBI system state and bridge surface roughness. Based on theoretical, numerical, and field results, it is shown that this method has good noise resistance and high accuracy in identifying the road surface roughness and bridge surface roughness with different conditions. Moreover, it is suggested to consider a lower vehicle speed to ensure sufficient and consistent measurement data.
Coarse-grained soils are widely used in subgrade engineering. However, the coarse particles are prone to breakage under external loads, which significantly affects their engineering properties. Therefore, studying the particle breakage and constitutive relationships of subgrade coarse-grained soil fillers is of great importance. Considering the significant factors affecting subgrade conditions, a series of large-scale triaxial tests of red sandstone subgrade coarse-grained fillers were conducted, and the nonlinear stress-strain relationships of the coarse-grained soil samples were researched, and the phenomena of strain softening and strain hardening with the variation of the coarse particle content was analyzed. A quadratic fractal dimension gradation equation was established to describe the particle breakage evolution of the samples. Then, a particle breakage index was derived to analyze the particle breakage of coarse-grained soil samples under different gradations and confining pressures. Based on the camel-shaped cubic curve constitutive model, the constitutive relationships of red sandstone subgrade coarse-grained soil samples were studied. The correlations between particle breakage rate and confining pressure, as well as between constitutive model parameters and breakage rate, were analyzed. Subsequently, a constitutive model for red sandstone subgrade coarse-grained soil fillers considering particle breakage was established and its validity was verified. The research findings provide valuable insights into the mechanical performance evolution of coarse-grained soil fillers and offer guidance for the construction of weathered red sandstone coarse-grained soil fillers.
The hunting of high-speed trains affects passenger comfort, impairs train components, and even endangers the safety of train operation. it is crucial to recognize the hunting state, especially the small-amplitude hunting state before the onset of hunting instability. To address the issue of inaccurate identification in existing hunting monitoring methods under variable conditions, a small-amplitude hunting identification method with frequency invariance based on transfer learning is proposed. Firstly, considering that the frequency features of hunting are more stable than the time domain features under the influence of external factors, such as track irregularities. Therefore, a frequency invariant fusion module is constructed by combining hunting frequency and time-domain information (intra-domain transfer). Then, the combination of the module and inter-domain transfer enables the model to extract more invariant features from unlabeled data, thus improving the accuracy of hunting recognition. Finally, the method is applied to the measured data of high-speed trains, the average recognition accuracy of several different transfer tasks averaged over 95%. The recognition results were significantly better than non-transfer learning methods and other transfer methods.
In order to solve the guiding problem caused by the decoupling of the left and right wheels in a wheelset, the concept of toe angle is introduced into an independently rotating wheel (IRW) running gear. A guiding scheme based on toe angles is proposed to recover the self-alignment ability for the IRW running gear. The steering principle is firstly described for the IRW running gear with toe angles. The equations of motion of the lateral dynamic model of an IRW set are obtained according to Lagrange’s equation. The multi-body dynamics is used to analyze the stability, guiding and curve passing performance of the new running gear with toe angle. The results show that the critical speed of the independently rotating wheel running gear first decreases and then increases with the increment of toe angle, exhibiting a maximum critical speed. The new running gear cannot automatically return to the center position if the toe angle is less than 0.2°. When the toe angle is not less than 0.2 °, the independently rotating wheel running gear can automatically return to the initial lateral position after passing through the excitation section. The running gear with the toe angle is possessed of the self-alignment ability. Moreover, the angle of attack of the left front wheel is relatively small when the running gear with the toe angles exceeding 0.25°negotiates the curved track. It has good curve passing performance. Therefore, the utilization of toe angle can improve the guiding performance of the independently rotating wheel running gear on straight and curved tracks.
Track irregularities significantly impair the safety and stability of vehicle operation. Identifying the sensitive wavelengths of medium- and long-wavelength track irregularities and establishing corresponding management limits for metro lines hold significant reference value for line maintenance. A rigid-flexible coupled dynamic model of a metro vehicle is established that takes into account the flexibility of the carbody. The model is then validated using measured carbody accelerations. Multi-cosine waves are used to model longitudinal-level, alignment, cross-level, and gauge irregularities. The influence of different wavelengths and amplitudes of these irregularities on vehicle dynamic performance is investigated and the range of sensitive wavelengths of track irregularities is determined. Finally, the simulation results are extrapolated to the management value of each dynamic performance index using curve fitting, and three levels of management limits for track irregularity amplitude are proposed. The results show that the sensitive wavelengths of metro track irregularities are mainly affected by vehicle suspension modes, car body flexibility modes, and bogie hunting motions. The four types of track irregularities that should be prioritized in the control of the wave band, together with their minimum amplitude limits, are as follows: longitudinal-level (1.5 ~ 4 m and 6 ~ 10 m, with minimum limits of 2.4 mm and 4.7 mm, respectively); alignment (10 ~ 30 m, with a minimum limit of 1.6 mm); cross-level (1.5 ~ 4 m and 6 ~ 22 m, with minimum limits of 0.8 mm and 5.2 mm, respectively); gauge (10 ~ 15 m, with a minimum limit of 5 mm).
To evaluate the influence of metro induced vibration on precision instruments in a laboratory of a university, a measured transfer function formulation is proposed to predict the vibration responses on the ground surface and in the building. First, the frequency-domain excitation forces acting on the tunnel structure are determined by using a coupled train-track model, then the transfer functions between excitation and receiver points in the station-soil-building system are measured by a field hammer experiment in the station, and finally the vibration responses are obtained by the transfer function formulation. Based on this formulation, the vibration responses for the general non-ballast track and steel spring floating slab track are predicted and compared with the field measured data under the metro operation. The results show that the transfer functions obtained through field measurements accurately reflect the vibration propagation characteristics of the tunnel/station-soil-building system, indicating that the proposed formulation has good prediction accuracy.
The flexible deformation of gear teeth induces the collision of gear pair, which affects its transmission quality and dynamic performance. This paper calculated the actual meshing contact ratio of gear pair by considering the gear teeth flexibility (GTF), and calculated the rigid-flexible coupling time-varying meshing stiffness and load distribution coefficient of gear pair. The meshing-impact dynamic model and impact-collision energy dissipation model of spur gear system considering rigid-flexible coupling were established. The influence of GTF on contact ratio, time-varying meshing stiffness and dynamic meshing force was analyzed. Based on the multi-initial value bifurcation diagram, the bifurcation and evolution of the coexistence motion of the system with the change of load and the influence relationship with the energy dissipation were studied, and the maximum energy dissipation characteristics of the system when the two parameters change were revealed. It is found that the GTF affects the meshing area of single- and double teeth and increases the contact ratio. The GTF reduces the dynamic meshing force and makes the time-varying meshing stiffness transit smoothly when the single- and double teeth are engaged alternately. The impact of drive-side and back-side aggravates the impact energy dissipation of the coexistence motion. The change of load has a great influence on the bifurcation evolution of the coexistence motion of the system, and the change of the coexistence motion affects the impact energy dissipation characteristics of the system. Reasonable matching of the parameters and the initial values can effectively avoid the large impact energy dissipation and improve the reliability of the transmission system.
To establish damage criteria for fuel tanks subjected to high-velocity fragment impacts, ballistic experiments were conducted using tungsten spherical fragments to strike diesel tanks. The damage characteristics of fuel tanks under various conditions were investigated, and theoretical models for perforation-induced fuel leakage and ignition probability were developed. The effects of fragment mass, impact velocity, perforation heights, and fuel fill ratio on fuel tank damage probability were analyzed. The findings are summarized as follows: (1) The damage mode of the fuel tank is determined by the fragment impact location: impacts on the liquid primarily result in perforation-induced fuel leakage, whereas impacts on the ullage may lead to ignition. (2) The ignition probability of a tungsten fragment impacting the gas layer of a diesel fuel tank exhibits an S-shaped growth trend with increasing specific kinetic energy. When the specific kinetic energy reaches 24×104 kJ/m2, the ignition probability reaches its maximum value of 1. (3) The perforation-induced leakage damage probability is significantly influenced by fragment mass, impact velocity, and perforation height. A greater fragment mass, higher impact velocity, and lower perforation positions closer to the tank bottom significantly enhance the leakage damage probability. (4) Perforation height is the primary factor influencing the probability of perforation-induced fuel leakage damage in fuel tanks. Within the impact velocity range of 500~2500 m/s, a 10% reduction in perforation height can increase the probability of perforation-induced fuel leakage damage by up to 17.35%. (5) When fragments impact the diesel tank at lower velocities (<1000 m/s) or higher velocities (>2000 m/s), the overall damage probability of the tank is primarily influenced by leakage damage. In contrast, at intermediate impact velocities, the overall damage probability is predominantly determined by ignition damage.
Aeroengine data exhibits complex characteristics such as multivariate, nonlinear, and dynamic variations, with significant spatiotemporal correlations. The majority of research, when analyzing data, often limits itself to a single multi-sensor scale or temporal scale, and frequently neglects the long-term dependencies among the data, thereby constraining its application in the task of predicting the remaining useful life (RUL) of aircraft engines.. To address this, a spatio-temporal fusion Transformer network model is proposed. This model retains the advantages of the multi-head attention mechanism and positional encoding in the Transformer architecture to accurately capture long-term dependency features. Firstly, an efficient fully connected network is adopted to replace the original decoding module, matching the attributes of the nonlinear regression problem in aeroengine RUL prediction while simplifying the model structure. Secondly, a spatial attention mechanism module is introduced to deeply explore the spatial features among different variables. Finally, the improved AIC criterion is applied to identify critical hyperparameters of the Transformer, addressing the challenge of selecting its hyperparameters. Multiple sets of experiments conducted on the C-MAPSS and PHM08 Prognostics Data Challenge have confirmed the effectiveness of the proposed model and its superior performance in prediction accuracy.
Taking aero-engine compressor blades as the engineering background, the rotating blades are simplified into carbon nanotube reinforced composite (CNTRC) cantilever thin plates with pre-installation and torsion angles. The geometrical and physical parameters of CNTRC rotating blades are calculated by differential geometry theory and the extended rule of mixture. Considering the influence of centrifugal force, based on Kirchhoff hypothesis and Novozhilov theory, the partial differential kinetic equations of CNTRC rotating blades are established by Hamilton's principle. The partial differential equations of motion are discretised into ordinary differential equations by the Galerkin method. The free vibration characteristics of the CNTRC rotating blades are investigated. The effects of pre-installation angle, torsion angle, carbon nanotube volume fractions, carbon nanotube distributions, rotational speed, and hub radius on the natural frequencies of CNTRC rotating blades are analysed in detail.
The thin-walled metallic tube-core sandwich structures with convenient preparation, low cost and the ability to form significant plastic deformation have broad application prospects in the field of impact protection. In this paper, the novel metallic tube-core sandwich panels with geometrically asymmetric face-sheets and transverse density gradient distribution of tubes are designed. The dynamic response and energy absorption mechanism of the sandwich panels are studied numerically. The dynamic response process and characteristics of metallic tube-core sandwich panels are obtained, and the effects of detonation height, explosive mass, mass distribution of the panel and transverse density gradient distribution of the tubes on the deformation and energy absorption are discussed. The results show that the dynamic response process of the metallic tube-core sandwich panels can be divided into three stages: core compression, overall deformation, and elastic deformation recovery. With the increase of explosive mass and the detonation height, the central displacement of the back face-sheet of the sandwich panel increases and the energy absorption ratio of the tube-core layer decreases. When keeping the total thickness of the face-sheet unchanged, the sandwich panel with thick front face-sheet and thin back face-sheet has strong ability to absorb energy and resist deformation. The sandwich panel with positive density gradient distribution of cores has strong ability to resist deformation, and the sandwich panel with the negative density gradient distribution of cores has strong ability to absorb energy. The application of the metallic tube-core sandwich panel with an appropriate increase in the thickness ratio of the front and back face-sheets and a positive density gradient distribution of the tubes can better disperse the blast shock wave, enhance the energy absorption efficiency of core layer, and obtain better anti-blast effect.
In practical engineering, fault diagnosis of rotating machinery often faces various complex situations such as noise interference, limited fault samples and variable working conditions, which pose new challenges to the application of data-driven deep learning methods that lack prior knowledge. Traditional fault diagnosis methods based on wavelet analysis can extract rich prior knowledge of faults, but a fixed (structured) or single wavelet basis is difficult to directly adapt to complex fault scenarios. To address these issues, a multiscale wavelet packet-inspired convolutional network (MWPICNet) was proposed for fault diagnosis of rotating machinery in this paper, inspired by traditional multiscale wavelet packet analysis. The proposed MWPICNet internally coupled the time-frequency domain conversion with filtering denoising, feature extraction and classification. First, the multiscale wavelet packet-inspired convolutional (MWPIC) layer and soft-thresholding activation (ST) layer were alternately used for signal decomposition and nonlinear transformation, extracting multiscale time-frequency fault features and filtering out the noise layer by layer. Each MWPIC layer could be approximately seen as a single-layer wavelet packet transform of the signal under multiple learnable wavelet bases, and learnable thresholds in the ST layer were used to sparse the wavelet coefficients. Then, the frequency band weighting (FBW) layer was designed to dynamically adjust the weights of each frequency band channel. Finally, a global power pooling layer (GPP) was introduced to extract discriminative frequency band energy features that were helpful for fault identification. The efficacy of the proposed MWPICNet is verified through case studies designed for different complex scenarios on three fault diagnosis datasets.
To investigate the difference of wind-induced swing characteristics between long span conductors and jumper lines, a refined finite element model coupling the jumper lines, long span conductors and insulator strings is constructed. The research elucidates the different dynamic characteristics, included mode and aerodynamic damping ratio, between the conductors and jumper lines. Combining with the frequency-domain method, multiple cases are calculated to analyze the effect of wind field and line parameters on the dynamic response of conductors and jumper lines. Results show that: The fundamental frequency of jumper lines is approximately 1.5~2.0 times that of conductors. The effect of aerodynamic damping on jumper lines is much smaller than that of conductors. The dynamic response of conductors is dominated by the background response, while the resonance response is not significant. However, the resonance response increases the wind -induced swing response by more than 30%, which should be considered in the wind-resistance design of jumper lines. The resonance response characteristics of jumper lines are determined by their own dynamic characteristics, and are relatively less affected by the upstream wind. The fundamental mode plays a decisive role in the resonance response of jumper lines. Based on the quasi-static and inertia force method, this paper derives the resonance part of peak fluctuating wind force for jumper lines, introduces the resonance factor, and amend the gust response coefficient. The amended gust response coefficient increases by about 9%~12% compared to the code.
The Potala Palace is a famous world cultural heritage in our country. And its area is located with active faults and frequent major earthquakes. Reliable seismic risk assessment can provide a basis for seismic protection of Zang-style ancient buildings in the study area, including the Potala Palace. Compared with the shortcomings of traditional seismic hazard analysis methods, this paper proposes a systematic process of seismic hazard assessment by using the seismic physical prediction method based on the multi-locking segment rupture theory. According to the relationship between seismic intensity and the attenuation of ground motion parameters, considering the conditions of the site itself, the seismic risk assessment of the area where the Potala Palace is located was carried out. The results show that the study area is located in the Linzhi selsmic zone, and the seismic risk of the study area in the next 100 years is mainly the next M8.5 main shock or M7.8 landmark earthquake in the Linzhi selsmic zone. The seismic fault is located in the southeast bank fault of Namco near the middle section of the Yadong-Gulu fault, and the epicenter is near 30.3°N and 90.1°E. The Potala Palace complex is located in bedrock, regardless of the magnification of the mountain site, and the seismic action at the ground end of the structure is equivalent to that of bedrock. The research conclusion provides a theoretical basis for the seismic study of the structure of the Potala Palace complex.
The study of meso-damage evolution in steel fiber concrete is important for the health inspection of in-service steel fiber concrete structures. A multi-channel acoustic emission system was used to collect acoustic emission signals from concrete and steel-fiber concrete specimens (steel fiber content of 15 and 45 kg/m3, respectively.) during splitting tests. Then, the damage characteristics of concrete and steel fiber concrete are analyzed by combining principal component analysis and k-means clustering algorithm. Research showed that steel fiber inhibits the propagation of cracks in concrete and effectively improve the post-peak toughness of concrete. The acoustic emission characteristics parameter of counts and energy changes reflect the meso-damage evolution process of macroscopic deformation and failure in steel fiber concrete. Finally, two damage mechanisms are identified for mortar matrix cracking and steel fiber pullout in steel fiber concrete. Compared with mortar matrix cracking, the acoustic emission signals generated by steel fiber pull-out behaviors have the characteristics of high count, high amplitude, strong energy, and long duration.
Due to the harsh environment of the heliostat, the strong wind not only affects the concentrating efficiency of the heliostat, but also causes damage to the heliostat. To this end, the project team designed a dynamic vibration absorber for heliostats. This paper will optimize the design from three aspects : magnetic field strength, mass ratio and structural dimensions, so as to improve its frequency shift range and vibration absorption effect. Firstly, the mathematical model of the absorber-heliostat system is established, and the optimal parameters of the absorber are determined for structural design. Then, the magnetic circuit, thermodynamics and dynamics simulation of the absorber model are carried out to analyze the rationality of the absorber structure. Finally, the effectiveness of the device is verified by experiments. The simulation results show that the magnetic field strength and temperature of the optimized vibration absorber meet the actual use requirements. The expected frequency shift range of the system is 3.97 Hz, and the vibration absorption effect is 29.38%. The experimental results show that the structure optimization is effective, and the experimental results are basically consistent with the simulation results. When the excitation current increases to 6A, the system frequency shift range is 3.813Hz, which is 240.45% higher than that before optimization. Under the excitation of 8.67Hz, as the current increases, the amplitude of the heliostat gradually decreases. In the range of 1.8A~2.4A, the vibration absorption effect can reach 15.90%, which is 32.50% higher than that before optimization. The research results in this paper can provide reference for the design of heliostat wind-induced vibration absorber.
Typically used in drum washing machines, the friction damper has an insufficient damping effect at low load and high-frequency dewatering, which causes the washing machine shell to vibrate severely. In order to address this problem, a novel type of non-Newtonian fluid variable damping damper is proposed in this paper. Based on the non-Newtonian fluid shear thinning properties and the one-dimensional viscous flow equations in the damper holes, the vibration suppression effect and the physical mechanism of the washing machine during its operation were investigated. The non-Newtonian fluid has apparent shear thinning characteristics when compared to the conventional solid-state friction damper, which significantly reduces the output damping force of the non-Newtonian fluid variable-damping damper and fixes the drawback of the conventional damper that the apparent elastic coefficient rises at high frequencies. A systematic investigation of the vibration damping effect of dampers with various structural parameters on the low load eccentric operation of a washing machine shows that a smaller gap height is more advantageous for the dissipation of vibration energy and that appropriately increasing the viscosity of the non-Newtonian fluid or the number of piston heads can enhance the vibration suppression effect while also being beneficial for noise reduction. The results demonstrate that the variable damping damper can produce a good vibration damping effect for the entire washing process of the washing machine, especially for the high-frequency drying process, and the acceleration attenuation ratio can reach up to 83.49%, the energy attenuation is up to 98.44%, and the noise reduction is up to 10.38dB. This can be achieved through reasonable damping structure design and non-Newtonian fluid proportioning.
The wind damage loss of low-rise building envelopes in typhoon-prone areas of Chinese coastal areas is worthy of attention. Based on the typhoon process, the vulnerability of low-rise building envelopes to multiple factors such as wind-induced internal and external pressures, debris impact, and structural resistance was investigated. A debris impact probability model was established for typical low-rise building scenarios, which can effectively consider practical factors such as wind direction, wind speed, the height and spacing of buildings, as well as the take-off position of the debris. The results show that it is necessary to consider the typhoon process in the wind damage vulnerability analysis of low-rise building envelopes. Typhoons with similar extreme wind speeds may also cause large differences in extreme damage to buildings. The occurrence times of extreme damage generally lag behind the moments of extreme wind speed, and the duration of extreme damage is related to the duration of typhoon. Compared with the previous models, the debris impact probability model newly established is more applicable to the typical low-rise building scenarios in Chinese coastal areas.
In actual industrial production, different operating conditions lead to variations in data distribution, posing a challenge for bearing fault diagnosis under different working conditions. To address this issue, a fault diagnosis method based on multi-adversarial and balanced distribution adaptation was proposed. Firstly, an improved residual network was used to directly extract domain-invariant features from the original vibration signals, enhancing feature extraction efficiency while preserving rich fault feature information. Secondly, a domain adaptation method combining correlation alignment and multi-adversarial domain adaptation was proposed, which can simultaneously align marginal distribution and conditional distribution of source domain and target domain to minimize data distribution differences between domains.Thirdly, the balanced distribution adaptation method was improved with designing a balance factor to allocate weights to the marginal distribution and conditional distribution in the adaptation process, so as to enhance cross-domain fault diagnosis effect. Finally, the effectiveness of the proposed method was validated using publicly available bearing fault datasets. Experimental results show that compared to popular domain adaptation methods, the proposed method achieves higher fault diagnosis accuracy, showing practical application value in bearing fault diagnosis tasks under different working conditions.
Inertia dampers are a new type of mechanical element, which are often interconnected with spring and damping elements to form inertia dampers to synergize energy dissipation and vibration damping. In the vibration control of engineering structures, inertia dampers (e.g., TIDs and TVMDs) often have better vibration damping capabilities than conventional viscous dampers. In order to investigate the vibration damping mechanism and advantages of the two types of inertia dampers, TID and TVMD, this paper, based on a simplified SDOF structure, utilizes the kinetic theory to derive the expressions for the additional equivalent stiffness coefficients and damping coefficients provided by the two types of inertia dampers to the structure under dynamic conditions. The explicit conditions for the inertia dampers to provide additional positive and negative stiffness and to produce the damping enhancement principle are derived from the analytical study of these expressions. In addition, this paper shows the negative stiffness characteristics of the inerter element based on the hysteresis curve and illustrates the amplification of the response of both ends of the viscous damping element by the inertia element and the spring element inside the damper under the damping enhancement principle, which intuitively explains the vibration-damping advantages of the inertia dampers.
Aiming at the problem of a single vibration signal containing fault information being easily hidden and the weak diagnostic ability of a single deep learning model leading to low accuracy in bearing fault diagnosis, a deep learning fault diagnosis method based on multi-domain information fusion is proposed in this paper. Variational Mode Decomposition (VMD) method is adopted to decompose the original vibration signal into multiple IMF components, while fast Fourier transformation FFT transforming each IMF component into frequency domain samples. After that, multiple IMF components and their corresponding frequency domain samples are inputted into multiple deep metric learning (DML) models and deep belief network DBN models for preliminary diagnostic analysis, respectively. And then a simple soft voting method is used to fuse these preliminary diagnostic results to obtain the final diagnostic result. Finally, through the analysis of bearing fault diagnosis experiments, the results show that the proposed method not only has good diagnostic performance, but also outperforms information fusion diagnosis methods based on time domain and frequency domain, respectively.
A large number of scientific instruments and equipment in the space station need to be locked by unloosening bolts. Aiming at the problem of frequency drift induced by unloosening bolt locking during the development of active vibration isolator for space station, the dynamic mechanism modeling and experimental verification of nonlinear connection of active vibration isolator for space station in locking state are explored.The mechanical analysis of the locking release device of the isolator based on the unloosening bolt is carried out, and the equivalent dynamic model of the system based on the Iwan model is established according to the nonlinear distribution of the stress on the contact surface of the unloosening bolt, and the nonlinear characteristics of the dynamic response are analyzed.The prototype of the active vibration isolator of the space station is developed for sinusoidal vibration test to verify the accuracy and effectiveness of the established dynamic model, which provides a reference for the environmental adaptability design of the space station precision scientific equipment.
A four-point synchronous fluctuating wind speed measurement system with horizontal pair intervals of 10m, 20m and 30m was established in a plain landform terrain site of Nagqu town, Xizang, at an altitude of 4500m. Continuous records of wind speeds for 1.5 years at this high altitude site were obtained. The maximum average wind speed in 10 minutes and the fluctuating wind speed reached 33.6m/s and 45m/s, respectively. The measured mean values of longitudinal and transverse turbulence intensity are 0.134 and 0.123, respectively, which are between the turbulence intensity of the Exposure Category A and the Exposure Category B specified in DL/T 5551-2018. Based on the synchronous fluctuating wind speed of any two measuring points, the spatial correlation coefficient and turbulent integral scale of the downwind fluctuating wind speed component along the conductor direction were calculated. The generalized extreme value model can better reflect the probability distribution of turbulent integral scale based on high wind speed samples. The higher the field observation sample wind speed, the larger the average turbulence integral scale. When the wind speed sample limit is set as 8m/s and 20m/s, the difference between the average turbulence integral scale is 22.5%. The average turbulence integral scale with high wind speed samples above 20m/s is 106.96m, which is 2.1 times of the 50m specified by DL/T 5551-2018, and the wind load acting on the wires increases by about 6.1%. The wind load on the wires in the high-altitude plain landform may be underestimated.
Harmonic drive is a transmission mechanism that relies on controllable deformation produced by flexible components, which are subjected to continuous alternating stress. As a result, the risk of failure is significantly higher than that of conventional transmission mechanisms. Changes on the fault location, kinematic relationship, and bearing area may cause interval distribution and periodic transformation of fault characteristic frequency. The running of harmonic drive based on the close coordination of several rotational components in narrow space, the transmission of single fault may cause the appearance of fault characteristics of multiple faults, the fault location is difficult. Therefore, an equivalent method is proposed to clarify the time-varying patterns of flexible bearing fault frequency by equating the kinematic relationship of continuous transient with that of conventional bearing. The calculation procedure of fault characteristic frequency for circular spline, flex-spline, flexible bearing, and cross roller bearing is presented. A fault simulation experiment is conducted to validate the theoretical analysis, fault characteristics for multiple faults are provided. The results show that the experiment results are consistent with the theoretical analysis, and the fault characteristic frequency can be obtained based on the proposed method.
Traditional force correction iterative hybrid test method uses a fixed model for restoring force correction, it has the problem of insufficient model accuracy causing increase in iteration rounds. Here, aiming at this problem, a force correction iterative hybrid test method based on adaptive model was proposed. This method could use restoring force correction values of all iteration rounds and true restoring force of physical substructure in each iteration round to build an adaptive model for iterating restoring force correction, and improve iteration’s convergence speed and accuracy. Taking a single-layer frame viscous damper seismic reduction structure as an example, effects of different weight distribution coefficients and initial model parameters on iteration convergence speed and accuracy were analyzed. Effects of structural natural vibration periods on this method were analyzed through separately verifying structures with different natural vibration periods. The results showed that different weight distribution coefficients and model parameters more largely affect iteration convergence speed and accuracy; when the weight distribution coefficient is 0.025 and the initial model parameter is 0.80, the proposed method’s iteration convergence speed and accuracy are much higher than those of traditional force correction iterative hybrid test method; the force correction iterative hybrid test method based on adaptive model has much better convergence speed and accuracy than traditional force correction iterative hybrid test method in different single-layer frame structures; for structures with a natural vibration period less than 1.0 s, the proposed method has more obvious advantages.
In the field of earthquake engineering, building seismic resilience assessment is a research focus, which holds great significance in guiding designers to enhance the level of structural seismic design and helping managers raise awareness of structural disaster prevention. This study focuses on an existing frame structure located in the 8-degree seismic region (0.30 g). Three perspectives (repair cost, repair time, and personnel loss) were considered while evaluating the seismic resilience of the structure before and after reinforcement based on GB/T 38591-2020 "Standard for seismic resilience assessment of buildings". Furthermore, the economic benefits of the seismic strengthening program by considering the yield rate on reinforcement. The results demonstrate that the employment of viscous dampers and BRB effectively controls the dynamic response of the structure. Notably, there is a maximum drop of 76.9% and 29.8% in the story drift ratio and mean acceleration, respectively. Repair time and personnel loss are two important perspectives that affect the level of seismic resilience under rare earthquakes. The implemented seismic strengthening program greatly increases the structure's seismic resilience, even if the level of seismic resilience is still one star both before and after strengthening. These research findings serve as a valuable reference for the evaluation and improvement of seismic resilience in existing buildings.
Combined with theoretical calculation, finite element simulation and experimental measurement, the optimization design method of acoustic maze structure based on acoustic black hole is studied, and a small-size and broadband sound absorption structure with 5.01 and 7.75octaves is given.First, based on the transfer matrix method, the mathematical model of acoustic black hole is established, the reflection coefficient of acoustic black hole is calculated, and the theoretical calculation results are compared with the finite element simulation results.Then, based on the admittance variation law of the acoustic black hole, the single and double side branch acoustic maze structures are designed. By optimizing the design, the matching of the maze structure and the admittance of the acoustic black hole is realized.Finally, based on the matching results of the admittance of the acoustic maze structure, the simulated annealing algorithm is used to construct the optimization model, and the small-sized acoustic maze structure with broadband sound absorption is obtained, and the 3D sample is printed for experimental verification.The results show that the double side branch pipe acoustic maze is used to replace the ring cavity in the acoustic black hole pipeline. After optimization, the admittance of the side branch pipe maze and the acoustic black hole can achieve perfect matching, and the small size design of the structure can be realized under the premise of maintaining the sound absorption performance. The effective sound absorption bandwidth of the optimized structure is 13.36 times that before optimization, and the octavesare3.94 times those before optimization.
As one of the basic engineering units, elastic beam systems are widely used in various fields, including architecture, aerospace, ocean engineering, and others.It is of great engineering significance to control the vibration level of elastic beam systems.To reveal the potential application of double-coupling nonlinear oscillators(DCNO) in the vibration control of double-beam systems, a dynamic behavior prediction model of double-beam systems with DCNOs was established, where the Lagrange method was used to predict the dynamic behavior of the double-beam system.On the basis of ensuring the correctness of the numerical results, the typical operating mode of the DCNO was studied, and the influence of the DCNO parameters on the dynamic behavior of the double-beam system was discussed.The results show that the introduction of the DCNOs can effectively realize the synchronous vibration control of each substructure of the double-beam system.On the one hand, when the DCNO is in the multi-frequency linear/nonlinear vibration control mode, the vibration of each sub-beam in the main resonance region of the double-beam system is effectively suppressed.Additionally, the multi-frequency nonlinear vibration control mode excites the complicated vibration responses of the double-beam system, resulting in the unidirectional transmission of vibration energy in time domain between elastic beams and DCNOs.On the other hand, according to the vibration control requirements, the working mode and vibration control effect of DCNOs can be realized by adjusting its core control parameters.Setting appropriate core control parameters for DCNOs is conducive to enhancing the vibration control effect of the DCNOs on the main resonance region of the double-beam system.
A novel fault diagnosis method is proposed, which combines a multi-scale convolutional neural network (MSCNN) with a bi-directional long short-term memory network (BiLSTM) using an attention mechanism. This approach addresses the issue of feature extraction in traditional fault diagnosis methods, which often result in limited representation of fault information and the inability to deeply explore fault characteristics under complex working conditions. Firstly, the method employs pooling layers and convolutional kernels of different sizes to capture multi-scale features from vibration signals. Then, a multi-head self-attention mechanism (MHSA) is introduced to automatically assign different weights to different parts of the feature sequence, further enhancing the ability to represent features. Additionally, the BiLSTM structure is used to extract the internal relationships between features before and after, enabling the progressive transmission of information. Finally, the maximum-kernel mean discrepancy (MK-MMD) is utilized to reduce the distribution differences between the source and target domains at various layers of the pre-trained model, and a small amount of labeled target domain data is used to further train the model. The experimental results show that the proposed method has an average accuracy of 98.43% and 97.66% on the JNU and PU open bearing datasets, respectively, and the method also shows a very high accuracy and fast convergence speed on the bearing fault dataset (CME) made by Chongqing Changjiang Bearing Co. and provides a practical basis for the effective diagnosis of vibration rotating component faults.
The behaviors of nonlinear aeroelasitc system show limit cycle oscillations under smooth airflow and irregular, nonlinear, randomly varying oscillations under the turbulence. A fractional-order direct adaptive controller (FDAC) based on output feedback is proposed to suppress the vibration of nonlinear aeroelastic system under wind disturbance. First, the FDAC is designed based on fractional calcus and direct adaptive control theory. Then, the appropriate range of fractional order parameters are deduced. The advantage of FDAC on aeroelastic control and disturbance rejection is theoretically analyzed, compared with integral order direct adaptive controller (DAC). The stability of proposed controller is proved by Kalman-Yacubovich lemma. Simulation results reveal that the proposed FDAC can significantly improve the performance of vibration control and disturbance rejection, under large and random wind disturbance for nonlinear aeroelastic system. The simulation results also verify the theoretical inclusions.
Due to the low stiffness of serial industrial robots, the robotic milling process is prone to chatter due to the improper selection of processing parameters or robot pose, which will reduce the surface quality of the workpiece and damage the robot equipment.In order to predict the chatter stability of robotic milling, the variation of robot end stiffness along with the spatial pose was studied by constructing the stiffness model of the robot.The dynamic model of the spindle system was constructed, then the influence of the speed effect on the dynamic characteristics of the tool tip was studied, and the mapping function between the spindle speed and the natural frequency of the tool tip was constructed by data fitting method.A robotic milling dynamic model considering the coupling effects between the robot and spindle system was proposed.The damping ratio and modal mass at the tool tip of the robotic milling system were obtained by hammer experiments, and the stability lobe diagram of the robotic milling system considering different factors was obtained.The variation law of milling chatter stability under the coupling effects of the robot-spindle system was revealed and verified by experiments.The results show that the stability lobe diagram obtained when considering the robot-spindle system coupling effects is more consistent with the actual milling state, which can effectively improve the prediction accuracy of robotic milling chatter stability.
The wheel polygon and rail corrugation as typical wheel-rail periodic wear of high-speed railway, aggravate wheel-rail vibration and affect driving safety. In order to explore the interaction under extreme conditions when wheel polygon and rail corrugation coexist, firstly, considering wheel-rail periodic wear of high-speed railway, the finite element model of wheel-rail system is established, and the frequency-dependent wheel-rail periodic wear competition mechanism is explored. Then, from the perspective of frequency-dependent wheel-rail periodic wears, the wheel-rail friction coupling vibration characteristics of wheel-rail periodic wears in the same/different phase contact are compared. Finally, from the perspective of frequency-independent wheel-rail periodic wears, the wheel-rail friction coupling vibration characteristics of the interaction of wheel-rail periodic wear are studied. Results show that under the extreme conditions of the coexistence of frequency-dependent wheel polygon and rail corrugation, the wheel-rail system is the most unstable. The instability of the wheel-rail system will be aggravated when the frequency-dependent wheel-rail periodic wear are in the same phase, and with the increase of wave depth, the difference in wheel-rail friction coupling vibration between the same phase and different phase will be increased. the closer the frequency-independent periodic wear frequency of wheel-rail is, the more obvious the influence on the stability of wheel-rail system is.
As one of the most common faults in gear transmission, tooth pitting will directly affect the time-varying meshing stiffness (TVMS) of the gear pair, and then leads to the change of dynamic characteristics of system. Thus, each pitting shape is considered as approximately a part of ellipse cylinder, and three damage levels are defined based on the position and number of pits: slight pitting, moderate pitting and severe pitting. The TVMS of perfect gear and that of gear with different pitting severity levels are calculated, and the effect of the position and size of pits on TVMS is discussed by use of the potential energy method. The fault dynamic response of one-stage spur gear transmission is studied and the results are qualitatively verified by the Drivetrain Dynamics Simulator (DDS). The results show that the model presented in this study can better match with the actual situation. With the increase of positional parameter, the pitted area moves gradually from the base circle to the top land. The longer the length of the major axis is, the more obvious the reduction of the TVMS in the pitted area is. While with the change of length of the minor axis, the reduction of the TVMS caused by different levels of pitting damages is basically identical in the same range of the angular displacement of the driving gear. The established model is capable of predicting the TVMS and vibration characteristics of a pitted gear system, and the corresponding vibration analysis results could provide theoretical reference for the detection and diagnosis of tooth pitting.
The current sound insulation evaluation standard refers to the traffic noise data measured in northern Europe in the 1980s as the basis for the spectrum correction for traffic noise. For the purpose of exploring whether Ctr correction is still appropriate in evaluating current urban road traffic noise and more precisely evaluating the sound insulation performance of building components that are affected by traffic noise. A variety of urban traffic road noise is monitored in this paper, a new set of traffic noise spectrum correction curves CA is proposed in accordance with the measurements, weighted sound insulation is computed for 11 common exterior window structures at different frequency frequencies, and differences in sound pressure level spectrums with various spectrum corrections are analyzed and compared. Results of the study indicate that road traffic noise spectrums in different cities possess similar characteristics such as high low-frequency sound pressure levels, stable medium frequency sounds, and low high-frequency sounds. In today's urban environment, the low-frequency energy of road traffic noise is much lower than the frequency spectrum referenced by Ctr, and its energy spectrum distribution is closer to C100-3150. After comparing and analyzing the spectrum correction of traffic noise in 11 groups of external windows with the current standard, CA falls within the range between C and Ctr reference spectra. Considering that the correlation coefficient between CA and the C and Ctr reference spectra is greater than 0.9 and higher than the correlation coefficient R2 between C and Ctr, CA has a greater potential for application and representativeness for analyzing the urban traffic noise spectrum. Consequently, the research results can provide data references for residential sound insulation and noise reduction projects affected by urban traffic noise.
The relevant regulations for the amplification effect of ground motion on irregular terrain were all based on isolated terrain. However, mountainous topography often existed in the form of mountains, and adjacent topography would affect the earthquake wave propagation and change the law of ground motion. Therefore, it was of great significance to study the ground motion amplification factor of non-isolated terrain for the seismic design of mountain buildings and improving the accuracy of post-earthquake disaster assessment. In this paper, the typical topographic amplification effect occurred in the unfavorable section of Moxi platform during the Luding MS6.8 earthquake was described. Then, the influence of complex topography (ridge and canyon) on the amplification factor of ground motion of the platform was deeply explored by simulation. The spatial distribution of amplification factor, Fourier spectrum of acceleration and amplitude ratio were quantitatively studied, and the motion rules of complex topographic on platform surface were obtained through a large number of analyses. The results showed that the regulations in “Seismic Code” underestimated the topographic effect of the platform in some cases, and the suggestive value of the amplification factor was difficult to ensure the safety of the structure. Thus, it needed to be adjusted and refined. In addition, the adjacent ridges and canyons had obvious effects on the platform surface and should not be ignored. Therefore, it was suggested that the relevant specifications should increase the adjustment coefficient to consider the interaction between adjacent landforms.
A fault diagnosis method based on Multivariate State Evaluation Technology (MSET) and Correlation Analysis (CA) is proposed to address the issue of abnormal vibration warning and cause diagnosis for turbogenerator rotor in running state. Firstly, the residual error is calculated between the predicted value and the operating value in the current evaluation window based on MSET and Sliding Window Principle. Secondly, the residual error of the correlation coefficient between in the state matrix and in the current evaluation window is calculated. Thirdly, thresholds are set for the relative deviation mean or residual error of each parameter and the residual error of each correlation coefficient to extract the abnormal features. Finally, vibration warning and abnormal diagnosis are based on Euclidean Distance and the anomalous features. The fault diagnosis method is validated by the operation data of turbogenerators. The results show that the proposed diagnosis method is feasible and can extract more abnormal or fault features compared with the single parameter self-change evaluation or parameter correlation analysis. It has the ability to diagnose multiple faults, which is beneficial for anormal warning and improving the accuracy of diagnosis.
As an important source of unmanned aerial vehicle noise, reducing the aerodynamic noise of rotor is of great significance to improve public's acceptance of unmanned aerial vehicle. In view of this, a rotor design scheme with wavy-shaped blade tip structure was proposed. This scheme only used a specific wave line type as the wire for lofting design at the blade tip of the rotor. At the same time, the three characteristics of wavy-shaped leading edge, wavy-shaped trailing edge and wavy surface structure were coupled. This scheme can reduce the noise and retain the aerodynamic performance to the greatest extent. Then, the influence of wavy blade tip structure on rotor aerodynamic performance and aerodynamic noise were analyzed with computational fluid dynamics simulation and experimental research. The noise reduction mechanism was revealed, and the parameter optimization design of wavy tip was carried out. The simulation and experimental results showed that the rotor with wavy tip structure still has good aerodynamic performance. In terms of acoustic performance, the wavy blade tip structure reduced the broadband noise in the middle and high frequency ranges of the rotor. The rotor with waveform parameter N=8 has the best noise reduction effect, and the noise reduction was significant near the downwash flow of the rotor. The total sound pressure level was 1.5~4 dB lower than that of the Base rotor.
In the process of lifting large span steel structures, node displacements and structural deformations are related to the safety and quality of the lifting construction. For the traditional contact monitoring methods, which are time-consuming, labour-intensive and expensive to maintain, a non-contact monitoring method is proposed with a drone as the carrier. Firstly, to address the problem of limited proximity of the UAV during the lifting of large-span steel structures, the Harris image stitching algorithm is used for panoramic stitching and combined with image weighting fusion to eliminate unfavourable cursors and stitching seams in the image stitching and achieve seamless stitching of overall, high-precision images of large-span structures. Secondly, the YOLOX vision algorithm incorporating the CBAM (Convolutional Block Attention Module) dual-channel attention mechanism is adopted to solve the problem of small target image recognition, coordinate extraction and displacement monitoring with different pixel areas under complex backgrounds. Finally, the four different testing models were compared and evaluated. The experimental results show that the average accuracy and confidence of the YOLOX detection model with CBAM attention mechanism are better than the other three network models, and the errors of the visually identified displacement information and the Leica total station are within sub-millimetre level, which meet the requirements of practical engineering accuracy and achieve small target displacement monitoring in complex backgrounds, with high economic benefits and wide application prospects.
When tape springs are applied in the form of winding and stretching in spatially deployable structures, the problem of loosening often occurs.Here, a multi-tape spring winding and loosening model was proposed, in which a loosened winding segment was divided into an external Archimedean spiral expansion zone and an internal semi-circular arc transition zone, and a strain energy analytical model was established.According to the principle of minimum potential energy, stable loosening inner diameter and stable loosening form were solved, and critical center body radius, stable tip force and critical tip force were derived.A finite element model for multi-tape spring winding and loosening was established using the software ABAQUS, and the numerical analysis results of stable loosening inner diameter, stable loosening form, critical center body radius and critical tip force were compared with the theoretical model calculation results.Tests were conducted to verify stable loosening form and stable loosening inner diameter, and prove the correctness of the theoretical model.
Earthquake is one of the most damaging natural hazards, extremely sudden and devastating. Seismic waves belong to the typical low-frequency wave with the range of 0~20 Hz. However, it is extremely challenging to isolate the low-frequency wave by the traditional isolation structure. Recently, a novel isolation idea has been formed to isolate the low-frequency seismic wave by proposing the local resonance seismic metamaterials, Nevertheless, there are still challenges in isolating ultra-low frequency seismic waves. Therefore, in response to the traditional local resonance seismic metamaterials not considering their own energy absorption characteristics, combined with the good energy absorption characteristics of negative Poisson's ratio materials, an innovative negative Poisson's ratio local resonance seismic metamaterial isolation barrier is proposed. This new seismic metamaterial is expected to isolate the ultra-low seismic waves. Based on the periodicity theory, COMSOL Multiphysics is used to explore the mechanism of band gap formation and its vibration reduction characteristics. The cell structure of the novel seismic is established, and the periodic boundary condition is applied. The eigenfrequency analysis is carried out to obtain the frequency bandgap of the new seismic metamaterial, and a desired ultra-low and ultra-wide frequency bandgap with the range of 0.612 Hz~13.35 Hz is obtained using a small size of the isolation barrier. and the Poisson's ratio, density, and elastic modulus of the negative Poisson's ratio material have a certain impact on the frequency bandgap. In practical engineering, negative Poisson's ratio materials with smaller negative Poisson's ratio, density, and elastic modulus should be selected. A study on the isolation effect of actual seismic waves with different main frequency ranges has found that it has a significant isolation effect on seismic waves with main frequencies greater than 0.612Hz.
In this paper, the primary resonance of a fractional-order Rayleigh-Duffing system under harmonic excitation is studied by multi-scale method. Firstly, the approximate analytical solution is obtained based on the multi-scale method. The numerical simulation shows that the analytical solution agrees well with the numerical solution, and the accuracy of the approximate analytical solution is verified. Then, the amplitude-frequency and phase-frequency equations for the steady-state solution are established, and its stability conditions are obtained based on the Lyapunov stability theory. Finally, through numerical simulation combined with amplitude-frequency curves, it is found that the parameters such as nonlinear stiffness coefficient, linear damping coefficient, and fractional order have important effects on the system dynamics characteristics, which is of great significance for the optimization and control of such systems.
Concrete-filled steel tube (CFST) structures have been widely applied to the construction of high-rise buildings and large-span bridges due to their excellent mechanical and seismic performance. However, with the increase of service time, the debonding defects between steel tube and core concrete will adversely affect the building safety. In this paper, the ultrasonic phased array method and the acoustic impact method are proposed to detect the debonding defects in concrete-filled steel tubes, and two special-designed inspection instruments are developed. For the ultrasonic phased array method, total focusing method is applied for image reconstruction, and the reflection coefficient at the steel-concrete interface is extracted for debonding evaluation. For the acoustic impact method, the energy distribution of flexural vibration mode and thickness mode in the echo data is analyzed by wavelet transform. The two proposed methods are successfully applied to the health evaluation of Shenzhen SEG Building after the abnormal shaking incident. The debonding defects of the concrete-filled steel tube columns of the SEG Building are detected and the comprehensive debonding ratio are calculated. Results of the field tests show that the comprehensive debonding rate of the SEG building is about 50%, showing a serious debonding degree. Comparative analysis of the detection results of these two methods shows that both the ultrasonic phased array method and the impact acoustics method can be used for semi-quantitative detection of debonding defects in concrete-filled steel tube columns. The impact acoustics method has a higher detection efficiency, while the ultrasonic phased array method has a higher detection resolution and detection accuracy.
In order to improve the axial crashworthiness of multi cell thin-walled structures, this paper proposes a hybrid multi cell Thin-walled Structure (MMTS) based on dynamic topology optimization to obtain the optimal cross-sectional configuration of thin-walled junctions under axial impact. The finite element method was used to compare the crashworthiness of hybrid multi cell thin-walled structures with window shaped multi cell structures and biomimetic tree shaped split structures designed based on experience under axial impact. In order to further improve material utilization, multi-objective optimization is carried out using structural dimensions as design variables. On this basis, a variable wall thickness analysis of the structure's cross-section is conducted to obtain the trend of impact resistance performance with wall thickness. The research results indicate that the collision resistance of mixed multi cell thin-walled structures is significantly improved compared to equal mass window type multi cell structures and tree shaped split structures. Compared with the initial design of MMTS, the optimized MMTS has increased specific energy absorption by 45.78%, reduced mass by 7.14%, and a smoother energy absorption process.
The presence of time delays in various control systems can have a significant impact on the performance of controllers. Ignoring time delays may result in reduced control effectiveness and even instability. This study investigates the effects of time delays on reinforcement learning based vibration controller. Firstly, a dynamic model of a piezoelectric cantilever beam is established using the finite element method, and the parameters of the dynamic model are corrected using experimental identification methods. Subsequently, the impact of different time delay conditions on the Proximal Policy Optimization (PPO)-based reinforcement learning (RL) controller and the PD controller are simulated and analyzed. Then, multiple reinforcement learning time-delay controllers are trained under different time-delay conditions, and the control effect of the time-delay controller is simulated and experimentally verified. Finally, the robustness of the reinforcement learning time-delay controller to time delay deviations is evaluated. The results show that the reinforcement learning time-delay controller not only has good control performance under the corresponding time delay conditions but also has a certain tolerance range for actual time delay deviations, demonstrating good robustness.
Complexity Pursuit (CP) is a classical method for blind source separation of vibration signals. Two main approaches for estimating the de-mixing matrix using Complexity Pursuit are Complexity Pursuit-Gradient Descent (CP-GD), based on the complexity calculation of source signals, and Temporal Predictability-Generalized Eigenvalue Decomposition (TP-GED), based on the temporal predictability. The equivalence and computational performance of these two algorithms were studied based on vibration simulation. Firstly, the specific theories and algorithm procedures of CP-GD and TP-GED algorithms were presented. Secondly, the variations of source signal complexity and predictability corresponding to the de-mixed vectors were intuitively demonstrated and compared using two- and three-degree-of-freedom vibration systems. Finally, the accuracy and computation cost of the two algorithms were compared through modal parameter identification examples with multiple operating conditions and multiple degrees of freedom. The research results show that under low damping ratio and high signal-to-noise ratio conditions, the de-mixing matrices obtained with both methods are the same. Considering the computational cost of calculating signal complexity and performing gradient descent, the CP-GD algorithm has a higher computational cost than the TP-GED algorithm.
The vertical load-bearing capacity of Magneto-Rheological Elastomer (MRE) isolation bearings is low. However, vertical load has significantly influences on the mechanical performance of the MRE bearings, which limits the engineering applications of MRE bearings. By adding vertical rods to bear vertical loads and a constant magnetic field with permanent magnets, an isolation bearing with a structure of MRE sheets and steel plates alternately stacked and bi-directional adjustable shear stiffness was designed and built. The finite element method was used to analyze the effects of MRE layer thickness, permanent magnet thickness, and magnet placement on the bearing's magnetic circuit. The bearing has a core diameter of 60 mm, consisting of 26 layers of MRE and 25 layers of steel plates. Mechanical performance tests of the bearing were conducted under sinusoidal waves of different frequencies and amplitudes under different currents and weights. Based on the test results, the Particle Swarm Optimization algorithm was used to identify the parameters of the Bouc-Wen model of the bearing. The results show that the MRE bearing has a high vertical load bearing capacity and stable mechanical performance. The Bouc-Wen model can accurately describe the hysteresis characteristics of the bearing, and the fitting data is in good agreement with the experimental results.
In order to make full use of fluid-induced helical elastic copper tube (HECT) vibration to enhance heat transfer and obtain higher comprehensive heat transfer performance of HECT heat exchanger device, the HECT heat exchanger with forward spiral baffle (HECT-FSB) and the HECT heat exchanger with reverse spiral baffle (HECT-RSB) were proposed. The two way-fluid structure coupling calculation method was adopted to study the effects of inlet velocity (Uin) on vibration-enhanced heat transfer and comprehensive heat transfer performance of HECT under swirling condition. The results show that with the increase of Uin, the amplitude and heat transfer coefficient of the HECT, and the pressure drop of the HECT heat exchanger all increase, while the PEC value decreases. The amplitude and heat transfer coefficient of the HECT, and the pressure drop of the HECT-RSB heat exchanger are significantly higher than those of the HECT-FSB heat exchanger. The PEC value of the HECT-FSB heat exchanger is higher than that of the HECT-RSB heat exchanger, and the vibration-enhanced heat transfer performance is better. When the Uin is 0.3 m/s, the PEC value of the HECT-FSB heat exchanger is 9.00% higher than that of the HECT-RSB heat exchanger. The HECT-RSB heat exchanger has the largest JF factor and the best comprehensive heat transfer performance. Compared with the heat exchanger in the published literature, the JF factor in the calculation range of Uin is increased by 2.7% on average. This research can provide technical support for improving the comprehensive performance of HECT heat exchanger device.
To address the shortcomings of traditional fault diagnosis method in the application of wind turbine gearbox operation status identification, a fault diagnosis method for wind turbine gearbox based on wavelet transform and optimization Swin Transformer is proposed. This method uses wavelet transform to convert the vibration signal of wind turbine gearbox into a time-frequency diagram. Use the SuperMix data augmentation algorithm to augment the sample; The Swin Transformer model is trained and optimized by pre-trained model parameters using transfer learning technology. The trained and optimized Swin Transformer model is applied to the actual operation and maintenance data of the wind farm for comparison and verification, and the classification accuracy reaches 99.67%. The verification results show that the proposed method can effectively identify the operating status of wind turbine gearbox and improve the recognition accuracy of the model.
To study the influence of different fiber materials on the dynamic splitting mechanical properties of concrete and the differences in their effects, using 100 mm diameter split Hopkinson pressure bar test device and V2512 ultra high speed digital camera, dynamic Brazilian disc splitting tests were conducted on plain concrete, palm fiber concrete, and steel fiber concrete specimens. Analyzed the fracture process and crack propagation law of different fiber reinforced concrete specimens using DIC technology, obtained dynamic tensile properties and dynamic fracture toughness of different fiber reinforced concrete specimens. The experimental and analytical results show that: Under the same impact load, the addition of fibers can improve the impact toughness of concrete, reduce the collapse phenomenon caused by stress concentration at the loading end of the specimen, delay the failure time of the specimen, and effectively suppress the propagation of cracks, steel fibers have a longer crack resistance effect on concrete than palm fibers. Under the same loading time, the peak strain of palm fiber reinforced concrete and steel fiber reinforced concrete is lower than that of plain concrete. The addition of steel fibers can significantly hinder the internal failure process of concrete specimens, and the change in damage variables is relatively slow, after the specimen cracks, steel fiber reinforced concrete has greater residual stress under the same crack width.
Transmission lines are subjected to dynamic loads such as wind loads, conductor vibrations, and dancing for a long time, resulting in loss of bolt preload or even loosening, which seriously affects the safety of transmission towers and lines.The joints of the tower are usually connected by bolts, which bear the shear force and lateral vibration load.However, relevant codes only specify that the tightening torque of bolts should achieve the purpose of tightening and preventing loosening, and other factors that affect the anti-loosening characteristics are often ignored, which may affect the long-term tightening state and daily operation and maintenance of bolts.Transverse vibration tests were conducted on 6.8 grade M16 rough high-strength bolts commonly used in transmission towers, and the effects of different frequencies, amplitudes, and torques on the bolt preload and fastening characteristics were studied.Then, a simulation analysis of the anti-loosening characteristics of bolts under transverse vibration load was carried out, and the results were compared and verified with the test results and specifications.The bolt deformation and thread area stress under transverse vibration state, as well as the bolt loosening law under different initial preloads were investigated.The results show that the decline curve of preload can be divided into two stages: rapid decrease and steady decrease.When the transverse vibration frequency is lower, the amplitude is larger, and the torque is smaller, the bolt is more likely to loosen.Under transverse vibration load, the stress distribution in the threaded area is uneven, with an overall trapezoidal distribution.Furthermore, the stress distribution of the thread gradually decreases from the screw section towards the free end, and the maximum stress point moves from the middle position to both sides.The higher the preload, the better the anti-loosening performance.Therefore, it can be seen that the preload force corresponding to the torque method specified in the code is relatively low.It is recommended to use preload force control and take 0.5 to 0.6 times the yield tightening axial force.
There are many mechanical elements in the vehicle suspension system which employing the three types elements, namely, the inerter, the spring and the damper, and it cannot be easily applied to the automotive engineering. Due to this problem, a parameter optimization design method of the vehicle mechatronic suspension is proposed in this paper based on the electromechanical similarity theory. On the basis of the dynamic model of a half car model with four freedom degrees of vehicle mechatronic suspension considering the vertical motion and the pitch motion during the driving process of the vehicle, this paper explores the improvements of the new vehicle mechatronic suspension employing mechatronic inerter on the dynamic performance of the vehicle. In terms of the multi parameters and multi constraints optimization problem, the improved particle swarm optimization algorithm is used to optimize the main parameters of three different modes of vehicle mechatronic suspension by considering the positive real of transfer function and the dynamic performance constraints of the suspension, and the mechatronic inerter and the external electric network are used to realize the network passively. Numerical simulations showed that, under the single objective optimized condition, the RMS of vehicle body acceleration and pitch angular acceleration of the new vehicle mechatronic suspension are reduced by 26.5% and 18.3% respectively, and they can decrease by 15.5% and 11.4% simultaneously when taken the two objectives into consideration. The dynamic vibration isolation performance of the proposed vehicle mechatronic suspension is significantly improved compared with the traditional passive suspension, which provides a new idea for the suspension design method.
The experimental modal analysis, dynamic modeling and structural parameter identification were employed to research the inplane vibration modes of heavyloaded radial tires with larger flat ratio. The coupled characteristics of flexible tread, distributed sidewall element and rim were investigated by means of the experimental modal analysis. Taking the bending and inflation features of the flexible tread and the inertial force and sectional spring of the sidewall into consideration, the coupled kinematics of flexible tread, distributed sidewall element and rim was modeled. The inplane coupled analytical modal frequency was derived. The structural parameters identification was implemented and the higher order modal frequenies were predicted with the analytic method. The results show that: the flexible tread vibrates in the same/opposite direction with the distributed sidewall within 0-180 Hz and 180-300 Hz respectively ; the modal analysis and kinetics modeling in consideration of the coupled features of flexible tread, distributed sidewall element and rim can accurately characterize the inplane vibration features of heavy loaded tires within the frequency band of 300 Hz.
In order to study the efficiency and mechanism of the vibration control of particle dampers in longperiod bridge structures, a 1/20scale bridge model was designed according to a typical asymmetric selfanchored suspension bridge with a singletower, and a multilayer compartmentalparticle damper applied to the scaled test model was proposed. Corresponding shaking table tests of the scaled model with and without particle dampers were conducted. The experimental results show that the multilayer particle damper proposed does not show the phenomenon of particle accumulation in the experiments, and it has a good damping effect on the longitudinal seismic responses of the main beam of the scaled model bridge. It can dramatically reduce the displacement responses and acceleration root mean square responses of the main beam. This type of damper can significantly increase the equivalent damping ratio to reduce the longitudinal vibration of the main beam (in the low frequency vibration direction), and its has a significant tuning effect on the fundamental longitudinal vibration frequency of the main beam; The multilayer compartmental particle damper can effectively control the lowfrequency dynamic responses of longperiod bridges and can be applied to the seismic control of longperiod engineering structures.
The surface topography of the rolling interface can change the interface dynamics,and influences the dynamic response of a rolling mill system.Considering the roughness of the rolling interface,the nonlinear dynamic model of the rolling mill system was established.The nonlinear stiffness and natural frequency characteristics of the rolling system with different rough surface topography were calculated and compared with the traditional rolling mill model using Duffing oscillator to describe the interface stiffness.The main resonance amplitude-frequency characteristics of the rolling mill system were solved by using the method of multiple scales,and the expression of the jump frequency and the corresponding amplitude of the forced vibration response were derived.The influence of the rolling surface roughness,excitation load,nonlinear stiffness ratio and damping on the dynamic response characteristics of the rolling mill was analyzed.The results provide theoretical reference for suppressing rolling mill vibration.
Here, 528 m high Nanning Wuxiang ASEAN Tower was taken as an engineering example, a new turbulent inflow generator named the narrowband synthetic random flow generator (NSRFG) was used to do the large eddy simulation (LES) for its wind-induced vibration response.Its base loads and displacement responses were calculated.The numerical wind tunnel’s simulation results were compared with those of the HFFB wind tunnel tests, and the effectiveness and correctness of NSRFG were verified.The results showed that the base bending moment power spectra simulation results in downwind and crosswind directions agree well with those of the wind tunnel tests, but the simulation results in torsional direction have a certain gap compared with the wind tunnel test ones; for the tower’s wind-induced vibration responses, the numerical simulation results in downwind direction agree well with the wind tunnel test ones, but the simulation results in crosswind and torsional directions are a little smaller; in across-wind direction, the predicted value for the vortex shedding frequency of the tower model with NSRFG was close to the wind tunnel test one.The study results provided a valuable reference for structural design.
Three different conditions of a gear, normal condition, crack in root of tooth, broken-tooth, are diagnosed by calculating the correlation dimension in the fractal theory. In order to weaken the effect of the noise on the precision of calculating , a new approach to filter based on EMD is put forward to pre-conduct the signal sampled. Through experiment with a gear box, this method is proved to be feasible and valid.
Aiming at the phenomenon of mode mixing in the extraction of fault information from the vibration signal of a high speed elevator rolling guide shoe,by the method of singular value decomposition (SVD) optimizing local mean decomposition (LMD), a feature extraction method based on self-adaptive sharpening wavelet decomposition (SSWD) optimizing LMD was proposed.First of all, the low pass filter, high pass filter, wavelet basis function and scale function were constructed.The original signal was decomposed into a high-frequency detailed feature signal and a low-frequency approximate signal by the multi-resolution filtering characteristics of wavelet decomposition (WD).Then, signal enhancement was done on the high frequency detailed feature components, and the enhanced high frequency detailed characteristic signal and the low frequency approximate signal were reconstructed.Finally, the LMD method was used to extract the fault features’ PF component of the rolling guide shoe from the reconstructed signals.The instantaneous Teager energy waveform of the PF component was obtained for comparative analysis.Through the actual working condition signal processing and analysing, the experimental results show that, compared with the SVD optimizing LMD method, the method completely extracts the fault characteristic components of the vibration signal of the rolling guide shoe, and avoids the phenomenon of modal confusion.
A finite element model of half steel plate-concrete composite slabs (Half-SC slabs) under impact action was established using LS-DYNA. The accuracy of the model was verified based on the available test results. The effects of the impactor mass, the impact velocity, and the steel plate thickness on the displacement response of Half-SC slabs were further analyzed. On this basis, the resistance and stiffness equations of the Half-SC slabs were derived. The resistance function of the Half-SC slabs was proposed. Thus, an equivalent single-degree-of-freedom model for calculating the displacement response of the Half-SC slabs was established. The results show that the damage process of Half-SC slabs under impact can be divided into three stages such as the elastic stage, the concrete cracking stage, and the horizontal reinforcement fracture stage. The impact velocity has the greatest influence on the displacement response of the Half-SC slabs, followed by the impactor mass and the steel plate thickness. The proposed equivalent single degree of freedom model can accurately predict the displacement time histories of Half-SC slabs.
The collapse vibration performance laws of city viaduct to metro tunnel were obtained by using ANSYS/LS-DYNA software. The calculation model of collapse bridge impact to the underground tunnel of the city was established. Dynamic response of metro tunnel including three-direction vibration velocity and stress process of typical units was also obtained by comparison different conditions. The results show that as a main form of composite protective structure consists of Steel Plate-Rubber Tires system can make maximum of metro tunnel vibration velocity, compressive stress and tensile stress were decreased by 98.7%、95.6% and 94.4% compared with the absence of protective measures. It has shown excellent agreement between measured data and simulation results. Metro tunnel borne vibration speed is lower than the administration proposed safety threshold requirement and the design of comprehensive protection system achieved the expected result.
This paper details pendulum characteristic linked with a vertical automatic washing machine. At first, a non-linear mode provided in [2] is linearized at its static equilibrium position and ingredients of its Jacobian matrix are analyzed. Second, the pendulum mode born with the machine is obtained by an eigensolution, and factors contribute to this mode are discussed. Third, relationships between the pendulum mode and a damp coefficient in the suspenders are found based on simulation results and pendulum characteristics are analyzed. The existence of the critical damp coefficient is discussed based on energy, factors affect it are then considered. Fourth, the bisection method is employed to determine the critical damp coefficient in a particular washing machine; relationships between the damp coefficient and radius of unbalance under different rotation speed are then fitted by several second order polynomials. The existence of the critical damp coefficient is supported through experiment and effect of the hydraulic balancer is finally discussed.
Effects of periodic gust flow on super-cavitation morphology and hydrodynamic characteristics of ventilated vehicle were numerically simulated with the dynamic grid technique. Firstly, comparing the numerical computation results with test data, the feasibility of the dynamic grid technique being used to simulate periodic gust flow was verified. Then, based on this simulation method, the super-cavitation morphology evolution process and hydrodynamic change features of a ventilated vehicle under the action of periodic gust flow were investigated. The results showed that under the action of periodic gust flow, super-cavitation morphology of the ventilated vehicle reveals a periodic change, size and position of wetted area of the vehicle also change to cause periodic change of hydrodynamic coefficient; the proportion of the vehicle’s wetted area resistance in total resistance increases with increase in wetted area; the proportion of wetting area lift in total lift is larger, there is a high pressure zone near cavitation closing line ofwetted area to make small wetted area provide a very big lift for vehicle.
A large number of signals collected by mechanical equipment monitoring system are usually nonlinear signals with multiple natural oscillation modes, so the single-scale feature extraction can’t characterize these nonlinear signals. For high dimensional feature matrix, its main lower dimensional features need to be further extracted. Here, to solve these two problems, a nonlinear feature extraction method combining multiscale permutation entropy and linear local tangent space alignment (MPE-LLTSA) was proposed. Firstly, signals were calculated using MPE to obtain multi-scale features with high dimensions. Then, LLTSA was used to excavate the embedded intrinsic structure, and realize low dimensional feature extraction. Finally, least squares support vector machine (LSSVM) was introduced to train and recognize low dimensional features. The test results showed that the proposed method has application potential in fields of mechanical pattern classification and fault recognition.
In the field of fault diagnosis, acoustic emission signals are often exposed to strong background noise because of the environment and the detection system, which leads to aliased distortion of AE signals. A review of the research states of the extraction and processing for acoustic emission signals under strong background noise is presented, including the characteristics of AE signals in fault diagnosis, the processing flow of AE signals, the denoising of AE signals including wavelet, ICA and EMD, the feature extraction and fault recognition. Then a summary of insufficiency and methods in the research of denoising, feature extraction and fault recognition of AE signals is also presented. At the end, the future development of AE technology and signal processing methods is forecasted.
In this paper a new method of fault feature extraction based on sample entropy and fractional Fourier transform is presented. The core of this new method is to map the original data with poor separability into the appropriate fractional space firstly. Then the sample entropies of the transformed data after fractional Fourier transformation with appropriate order are computed and compared, so that fault feature extraction is fulfilled. The results show this new method could enhance the separability of different failure modes, and discriminate the normal, inner ring fault, outer ring fault and roller fault signals distinctly.
Recently the application of neural networks to the online model updating of hybrid testings is an important research direction.How to improve the adaptability, stability and anti-noise ability of online model updating algorithm of neural network is a key problem.An on-line model updating method for hybrid testings based on the forgetting factor and LMBP neural network was proposed, namely in each time step the historical experimental data of the test substructure were used to form a dynamic window sample with a forgetting factor.Then the LMBP neural network was trained with the sample set by the incremental training method, and the restoring force of the numerical element with the same constitutive model was predicted synchronously.The model updating hybrid testing on a 2-DOF nonlinear system was simulated and the RMSD of the predicted restoring force of numerical substructure was found to be 0.023 0 finally.The results show that the online model updating method of hybrid testings based on the forgetting factor and LMBP neural network has good adaptability, stability and anti-noise ability.
Based on the two-way fluid structure coupling theory, the numerical model of tuned liquid damper (TLD) and multi-layer multi-modal platform structure was established in this paper. The effects of TLD damping frequency and installation height on the first two resonant modes of multi-layer structure were systematically studied. The damping force has been quantified by numerical method. Combined with the phase delay relationship of sloshing wave and platform motion, the damping characteristics of TLD on multi-layer multi-modal platform structure were analyzed. The results show that the control effect of different installation positions of TLD is related to the maximum vibration mode of the corresponding mode of the structure. The damping frequency band of TLD can be widened by the frequency doubling excitation generated in the sloshing process. In addition, keeping the mass ratio of 2% unchanged, the multi-TLD system has a more stable vibration reduction effect on the multi-layer structure without local negative excitation. The average vibration reduction ratio at the two resonance points is better than that of other schemes.
Theoretical research and the most rent advances of discrete intensive frequency spectrum zooming analyze and correction methodology was reviewed. According to the numbers of frequency component including in the spectrum, the existing methods are classified into two kinds. One kind of methods deal with spectrum including only two frequency components, the other relate to spectrum including more than three frequency components. The detailed analyses and expatiation are made to account for the basic theory, algorithm, principle, characteristic and application scope. The deficiency of current spectrum zooming methods are discussed, and some possible directions in discrete intensive frequency spectrum zooming analyze and correction domain are tipped.
Considering the tooth error of a helical gear is three dimensional, the meshing stiffness analytic method for the helical gear pair after tooth profile modification meeds to be different from that for general spur gears. A calculation method for the meshing line length and position in the threedimensional space of the helical gear was proposed to achieve the rapid calculation, and an analytical calculation model for the meshing stiffness of the helical gear pair considering the axial deformation and tooth profile was put forward according to the principle of force and deformation decomposition combined with the introduction of the coupling relation Between the stiffness and error. Then taking a set of helical gears as an example, the variation of the meshing stiffness of the helical gear pair and the meshing line length in one meshing period was investigated and the influences of different profile modification parameters on the meshing stiffness of helical gear pair were analyzed. The results show that by the model, not only the meshing stiffness of helical gear pair, can be accurately calculated but also the optimal profile modification, can be determined, which can provide a theoretical guidance for the profile modification of helical gears.
Transfer function method is applied to the flutter of aircraft wings carrying an external store. Firstly, the flutter differential equation of a clean wing is established by combining the bend-twist vibration equations of the wing and the Therdorson’ unsteady aerodynamics model. Then, the external store hung below the wing by a pitch spring is regarded as a rigid body owning a certain mass and rotary inertia. The influence of the external store on the wing flutter is introduced through the deformation harmony and internal force balance conditions. Further, using the transfer function method, the control equations are formulated in a state-space form by defining a state vector. Both the flutter velocity and flutter frequency are obtained by solving a complex eigenvalue problem. The results are good agreement with the literature solutions and the finite element method solutions, which indicates that the present method is accurate and efficient. Finally, the effects of the mass, rotary inertia, position and pitch stiffness of the pylons are investigated.
An optimal design method of the vibration control of self-standing high-rise steel structures is presented in this paper. Firstly, a ring shape Tuned Liquid Column Damper (TLCD) is designed according to the characteristics of the self-standing high-rise steel structure, also its mechanical model is presented, and then the dynamic equation of the high-rise structures with the ring shape TLCD is derived. Secondly, a composite satisfactory function, which can be used in the designation of structural control devices, is constructed using Sigmoid function and linear superposition methods, and a multi-objective optimal design method is established based on the satisfactory degree principle and pattern search method. Lastly, focusing on the designation of the wind-induced vibration control for a self-standing high-rise steel structure, a numerical case study is conducted by programming the method. In this study, the design variables are the geographic parameters of the ring shape TLCD, and the objective is the composite satisfactory function composed of the items related to the top displacement, mass ratio and windward area ratio. The study shows that the method can efficiently obtain a set of design parameters which can satisfy project requirements and the coefficients of variation of both the optimal parameters and the related objectives are all less than 0.1. Therefore, this is a method with high robustness, and the difficulty of choosing weight coefficients in multi-objective optimization is reduced.
To prevent torsional resonance of multi-gears of multi-speed planetary transmission system which because of improper choose of the parameters, dynamic optimization and modification for the parameters of the system was conducted by using the multi-step genetic algorithm which adopt relative sensitivity of natural frequencies to parameters of the system to be the constraint conditions, and to minimize the change rate of parameters relative to its initial value was taken as the dynamic objective function and dynamic constraint boundary. Comparative study of taking the change rate of parameters relative to its initial value to be optimal and taking every step to be optimal when different step size was taken into consideration had been done. And the characteristic of natural frequencies to parameters of planetary transmission system apply to multi-gears and single-gear was analyzed. The result indicate that better optimization result can be got in the multi-step genetic algorithm when using the change rate of parameters relative to its initial value to be optimal compare with using every step to be optimal; The natural frequencies to parameters of single-gear of planetary transmission system can not be used for guidance of multi-gears system directly. Resonance will not produce at the range of working speed of the system after optimization and modification of parameters, and a guidance for the design of the planetary transmission can be provided by this paper.
Under multi-axis complex vibration environment, an electrical connector structure may be loose to affect electrical contact performance of its electrical appliances and cause failure of equipment function.Here, in order to explore mechanical characteristics of electrical connector in loosening process under multi-axis random vibration environment, a model of electrical connector in missile electronic cabin was established.The change time history of contact pressure in pin’s withdrawing process during it being loose relative to pinhole was simulated under random vibration environment, and the stress evolution mechanism in loosening process of electrical connector was revealed.Through comparing stress varying trend under triaxial random vibration and that under uniaxial random vibration, according to differences of three intervals, looseness characteristics of electrical connector under triaxial vibration were compared with those under uniaxial vibration, and a triaxial vibration stress screening method for connector looseness was provided.The mapping relationship between stress and resistance of electrical connector was derived by using R.Holm expression for relation between contact resistance and contact pressure, and the monitoring of contact stress between pin and pinhole was converted into monitoring of contact resistance to solve the technical problem of dynamic stress inside pinhole being difficult to measure.
Multibody system dynamics is an important branch in the field of the modern mechanics. It provides a strong tool for dynamic performance estimation and optimizing design of many mechanical systems in a lot of important engineering fields, such as, weapon, aeronautics, astronautics, vehicle, robot, precision machinery, and so on. The study on dynamic modeling, design and control of complex multibody systems is the urgent demand of modern engineering problems. The studies on the dynamic modeling methods, computational strategies, control design, software exploitations, and experiments of multibody systems in recently years are reviewed. The future directions of this field are indicated.
In order to study relationship between vibration characteristics of urban rail elastic vehicle body and under-vehicle equipment, a rigid-flexible coupled multi-body dynamic model for the equivalent Euler beam vehicle body with under-vehicle equipment was established using the modal superposition method.Vibration responses of the vehicle body’s middle part and the upper one on the vehicle bogie were analyzed under various different operating conditions.The sensitivity of the first-order elastic modal frequency of the vehicle body to the elastic resonance velocity was discussed.Along the whole vehicle length, the coupled vibration relationship between the vehicle body and the under-vehicle equipment was analyzed.The variation of the whole vehicle’s vibration was analyzed to evaluate the stability of the vehicle at last.The results showed that elastic suspension of under-vehicle equipment can effectively suppress vibration of the entire vehicle body; from the view point of suppressing the entire vehicle body vibration, it is necessary to symmetrically install the equipment under the middle of the vehicle body, and choose different elastic suspension devices for under-vehicle equipment with different mass; the vehicle body’s elastic vibration is greatly affected by the resonance speed, vehicle operation under non-resonant speed can effectively avoid the overall vehicle elastic resonance and improve passengers’ comfort; the study results provide a reference for reducing elastic vibration of urban rail vehicles, improving passengers’ comfort, reasonably locating under-vehicle equipment and appropriately choosing its elastic suspension devise.
The effect of stress relaxation on the surface stress of materials was investigated by experiments of vibration stress relief (VSR) for a 7075 Al-base alloy thin plate.The surface stress distribution,stress relaxation uniformity and handling strategies were analysed by vibration simulations and X-ray stress measurements.The experiments show that the effective VSR starts from the sub-resonance region of 5th order natural frequency of the vibrating plate,and the VSR causes the surface stress relaxation which is of non-uniformity along the normal direction of pitch line of zero amplitude.The max stress relaxation ratio (SRR) is 18.7% in the places far away from the pitch line,but the min SRR is 4.1% in the places close to the pitch line.According to the harmonic character of vibration mode,the cross-position VSR method was proposed to balance the vibration energy on the surface of samples.The further experimental results show that the uniformity of stress relaxation is greatly improved,the fluctuation of SRR is reduced from previous 14.6% down to present 6.5%,which means the method is practical.The VSR method can also be applied to other lightweight thin-walled components.
A superconvergent patch recovery method was presented for superconvergent solutions of the vibration mode of each order in the finite element (FE) post-processing stage of moderately thick circular cylindrical shells, and the adaptive mesh refinement analysis for free vibration based on the superconvergent solution was implemented.On a given finite element mesh, the FE solutions of frequency and mode of the moderately thick circular cylindrical shell were obtained by the conventional finite element method (FEM).Then the superconvergent patch recovery displacement method and high-order shape function interpolation technique were introduced to obtain the superconvergent solution of mode (displacement), while the superconvergent solution of frequency was obtained by Rayleigh quotient computation.Finally, the superconvergent solution of mode was used to estimate the errors of FE solutions in energy norm, furthermore, the mesh was subdivided to generate a new mesh in accordance with the errors.The above procedure was repeated until the optimized mesh was derived and the accuracy of FE solutions met the preset error tolerance.The numerical examples show that the proposed algorithm is suitable for solving the continuous orders of frequencies and modes under different kinds of boundary conditions, different circumferential wave number and different thickness to length ratio of moderately thick circular cylindrical shells.The computation procedure is reliable and effective and can provide accurate solutions.
The fault diagnosis of planetary gearboxes is a challenging issue due to the complexity and variety of vibration responses generated by the relative motions of internal gears which are much different from the case of fixed-shaft gearboxes.When the damage occurs on a tooth, due to the time-varying transfer paths caused by the dynamic fault meshing behaviors, the captured fault induced information on a fixed-sensor may exhibit unique irregularity.Before properly making use of these fault induced information for fault diagnosis, the period of fault meshing behaviors should be focused and analyzed, because a certain period included in the analyzed data may involve complete fault information for fault detection.In the paper, a method was introduced to determine the period of sun gear fault-meshing positions based on the kinematics of the internal gears.Two conditions were considered: planet gears were all different; planet gears were identical.Generalized mathematical expressions for the number of rotations of the sun gear and the carrier under above two conditions were derived respectively.The proposed expressions can also be applied to ring gear fixed planetary gearboxes.Finally, experimental studies were carried out to suggest the minimal measured data length to ensure an effective fault diagnosis.
Particle slurry jet impact rock-breaking process involves large deformation, high strain and strong loads, which is characterized by complex-nonlinear-dynamic-coupled problem among steel particles, slurry and rock. Aiming at the problems of instantaneity and difficult observation of rock-breaking process, damage mechanism and failure effect of rock with particle slurry jet impact were studied. Based on smoothed particle hydrodynamics–finite element method (SPH–FEM )coupled algorithm, modeling method of particle slurry impact rock was described. Afterwards, the rock damage constitutive model was established by combining Johnson-Holmquist-Ⅱ(JH-Ⅱ) model and Rankine tensile fracture soft model, and dynamical simulation of particle slurry jet impact rock-breaking process was carried out. The results showed that the damage of rock was mainly longitudinal propagation, with instantaneity and step property, which was a cycle process of “from damage accumulation to continuous fracture”; and the rock failure mechanism was mainly characterized by tensile crack, and shear powder. Meanwhile, the morphology of rock-breaking samples was compared and verified by experiment and numerical simulation, and influence laws of impact velocity, angle and particle size on rock-breaking effect were analyzed. This research would be of great significance for the development of particle slurry jet impact rock-breaking theory.