15 February 2023, Volume 42 Issue 3
    

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  • YE Jianfeng, LIU Xiancheng, YAN Guiyun, HUANG Guanhua, ZHUANG Jinping
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 1-11.
    Abstract ( 367 ) Download PDF ( 174 )   Knowledge map   Save
    Ordinary geopolymer concrete were used to prepare steel fiber geopolymer concrete(SFGC) by adding different steel fiber volume content(0.3%, 0.6%, 0.9% and 1.2%), with benchmark strength of C50, C60 and C70 by controlling the content of fly ash and slag. The impact mechanical properties of SFGC under different impact pressures (corresponding to different strain rates) were studied by Using Hopkinson pressure bar (SHPB) apparatus and the effect of steel fiber content, strain rate as well as concrete benchmark strength on dynamic compressive strength and toughness behavior of specimens was discussed. Numerical study was performed with ABAQUS and the results were analyzed and verified to establish the dynamic stress-strain constitutive model of SFGC. The results showed that the dynamic compressive strength increased gradually with the increase of strain rate and concrete benchmark strength, while the steel fiber content had significant effect on the SFGC with relatively low strength. Meanwhile, the integrity of SFGC decreased with the increase of steel fiber content but increased with the increase of concrete benchmark, and the impact energy consumption and toughness increased gradually as well. The numerical results agreed well with the test results, verifying the reliability of numerical study and proposed constitutive model. Moreover, the calculation results from dynamic stress-strain constitutive model of SFGC agreed well with the experimental results and it could be used to predict the mechanical behavior of SFGC under impact loading. 
  • YANG Haihua1,2,3, LIU Liang1,2,3, LIU Hanlong1,2,3,4, GAO Pengzhan1, CHEN Yumin2,3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 12-20.
    Abstract ( 206 ) Download PDF ( 103 )   Knowledge map   Save
    High polymer cementitious Gobi soil is that high polymer is mixed into Gobi soil, which can effectively improve the basic properties of undisturbed Gobi soil. The dynamic elastic modulus and damping ratio of polymer cemented Gobi soil under different polymer mass ratio, confining pressure, consolidation ratio and loading frequency were studied by medium-sized dynamic triaxial test. The results show that the polymer mass ratio Rp has a great influence on the dynamic elastic modulus and damping ratio. When the cyclic stress ratio is 0.157, the dynamic elastic modulus increases linearly with the increase of Rp; When CSR is greater than 0.157, the dynamic elastic modulus first increases and then decreases with the increase of Rp, and the peak value appears when Rp is 3%; Under the same CSR, the residual strain of natural Gobi soil under vibration load is larger than that of high polymer cemented Gobi soil. When Rp is 3%, the residual strain after five vibrations is only 18.4% of that of natural Gobi soil; The damping ratio decreases slightly with the increase of Rp. Based on Shen Zhujiang dynamic model, a modified model considering the influence of polymer mass ratio is established, and the applicability of the modified model is verified by experiments. The research results can provide a theoretical basis for the dynamic analysis and engineering application of high polymer Gobi soil.
  • YU Dinghao, LI Gang
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 21-29.
    Abstract ( 248 ) Download PDF ( 87 )   Knowledge map   Save
    Nonlinear seismic response analysis has become the most important method for evaluating the seismic performance of engineering structures. With the increase of the size of structure, the change of large-scale stiffness matrix caused by nonlinearity become the main factor that slows down the computational efficiency. The Woodbury formula based structural nonlinear analysis methods can be classified as a kind of novel numerical tool for efficient nonlinear analysis. By utilizing localization characteristic of structural nonlinear deformation to construct a structural governing equation with low-rank perturbation form and adopting the Woodbury formula to efficiently solve this equation, the Woodbury formula based nonlinear analysis methods can avoid the recalculation of the global stiffness on the premise of without losing iterative convergence rate. However, almost all of existing researches in this aspect were implemented based on sequential computing mode and do not take advantage of the parallel computational capacity of computer hardware. In this study, a novel parallel Woodbury formula based structural nonlinear seismic response analysis method (Woodbury method) is presented by introducing the OpenMP parallel computation technology. The present method firstly divides the computational process of Woodbury method per iteration into three main computing parts, which are nonlinearity-related coefficient matrices updating, Woodbury formula implementation and element state determination. Then, by establishing block calculation approach of the nonlinearity-related coefficient matrices, by decomposing the Woodbury formula into six sub-steps that are able to be computed using parallel technology respectively and by determining the nonlinear state of each element independently, the proposed method presents parallel programming strategy for these three parts. Thus, the whole analysis process of Woodbury method can be parallelization. Finally, a high-rise building is selected to perform nonlinear seismic response analysis and the results verify high efficiency of the proposed method.
  • HE Lifang, LIU Qiuling, ZHANG Gang
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 30-42.
    Abstract ( 222 ) Download PDF ( 60 )   Knowledge map   Save
    To solve the problem of low output Signal-to-Noise Ratio (SNR) of the Classical Bistable Stochastic Resonance (CBSR) in strong noise environment, Unsaturated Piecewise Bistable Stochastic Resonance (UPBSR) and the Gaussian Potential (GP) are combined to obtain a Gaussian Potential Piecewise Bistable Stochastic Resonance (GPPBSR). Firstly, the potential functions of GPPBSR with CBSR and UPBSR are analyzed and compared. Secondly, SNR and Mean Signal-to-Noise Ratio Increase (MSNRI) are used as the measurement index respectively under the background of Gaussian white noise and colored noise. The genetic algorithm is used to optimize the parameters to obtain the characteristics of SNR and MSNRI. The results show that under these two noise backgrounds, UPBSR of SNR and MSNRI are both larger and the noise resistance performance is better. Finally, to verify the usefulness of GPPBSR for diagnosing bearing faults in different scenarios, UPBSR and GPPBSR are applied to the fault diagnosis of the bearings of the 6205-2RS JEM SKF and HRB 6205-2Z models. The simulation results show that GPPBSR can be applied better in these two types of noise environment, and the performance is superior to CBSR and UPBSR.
  • HUO Yinlei1,2, PEI Xuesheng2, LI Mengyao1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 43-49.
    Abstract ( 178 ) Download PDF ( )   Knowledge map   Save
    Due to the good resilience even in the case of large deformation, the metal curved beam structure can be used as a shock energy absorption device for the system subjected to repeated shocks. In this paper, the large deformation equilibrium equation of the energy absorber formed from clamped circular curved beams is derived based on the radius and section angle of curved beam. A Jacobi elliptic function solutions of section angle, configuration and deformation energy of general curved beam and curved beam between plates are given. The large deformation characteristics and energy absorption characteristics of curved beam are analyzed in detail. The results show that the curved beam structure has obvious nonlinear large deformation characteristics and good energy absorption characteristics, there are obvious minimum point on the cushion coefficient curve, and the cushion coefficient and the minimum point depend on the material, the radius of curvature and the initial installation angle of the curved beam, and has nothing to do with its quantity.
    Key words: curved beam structure; elliptic function; large deformation; cushioning performance
  • ZHANG Xintao1, ZHAO Yaobing1,2, CAI Shaohui1, GUO Zhirui1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 50-56.
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    As to many kinds of dynamical systems’ resonant responses, the direct and discretized methods could be adopted to obtain the approximate solutions. These solutions’ errors are dependent on two aspects: mode discretization and perturbation analysis. Using finite modes to describe the dynamical behaviors of the continuous systems will induce some errors, and the higher-order mode shapes and natural frequencies are neglected, leading to distortion of nonlinear dynamic phenomena. Therefore, no matter in the practical engineering or theoretical analysis, the errors and convergence of modal truncations in discretized method should be paid much attention. Here, based on the internal resonances between two symmetric modes of horizontal suspended cables, the influences of two different mode truncations on system’s resonant responses are investigated. Firstly, the discretized planar nonlinear vibration equations of motions are obtained by using the Galerkin method. Then, the modulation equations are obtained by using the multiple scales method. By comparing the force/frequency response amplitude curves, time history curves, phase plane diagrams, Poincare sections, and Lyapunov exponents, the fluences of two and nine mode truncations on the system’s dynamical behaviors are illustrated in detail. The numerical results show that: as to the internal resonances, the non-direct excited and non-internal resonant modes would affect the resonant responses definitely, and the cause lies in the resonant terms induced by the quadratic nonlinearity. The external excitation is applied on the lower or higher-order mode, and as to the differences induced by mode truncation, the former is significantly higher than the latter. The influences of mode truncations on the response amplitudes seem more obvious in the large resonant regions. The bifurcations are closely related to the mode truncation, and some saddle-node bifurcations might be missed and some extra Hopf bifurcations may be found when two modes discretization is adopted in the case. In these circumstances, the jump phenomena and the dynamic periodic solutions are changed significantly. Different orders of mode truncation could lead to very different systems’ attractors.
  • LIU Zhenghao1,2, DING Ju1,2, MAO Xianqun1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 57-63.
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    In order to carry out a non-contact measurement on the modal parameters of a propeller, the relationship between propeller radiating sound signal under shock load and modal parameters is derived, which theoretically break through the limitation that the sound signal used for analyzing must be captured from the near field of structure. After that, the Hilbert-Huang Transform (HHT), with its advantage in processing nonlinear and non-stationary signal, was used for modal parameters identification. In this paper, a scale propeller model was used as a research subject to verify the practicability and validity of this method both by means of numerical simulation and test. Also, the influence of background noise was evaluated. The results show that this method, with its characteristic of self-adaptive frequency resolution, can identify modal frequency and damping ratio accurately, help providing a new way to identify modal parameters for fine structures in engineering.
  • LIU Haiping1, 2, ZHANG Jun1, SHEN Dashan1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 64-73.
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    In this paper, a nonlinear vibration absorber using Euler-buckled beams is taken as the research object. According to different application environments, two nonlinear dynamic models with or without gravity are established respectively, and the influences of gravity on the bifurcation characteristics of the nonlinear systems are mainly studied. The slow flow equations of the nonlinear systems are derived by using the complexification-averaging method, and then the corresponding boundaries of SN(Saddle-node,SN)bifurcation and Hopf bifurcation are obtained. By comparing the bifurcation boundaries with or without gravity, it can be found that the boundaries of the two types of bifurcation become larger due to the influence of gravity. Then, the effects of detuned parameters of excitation frequency and amplitude on the bifurcation characteristics of the nonlinear system are discussed in the absence of gravity. Finally, considering the gravity, the effects of some key design parameters of the nonlinear vibration absorber using Euler-buckled beams on the bifurcation characteristics of the system are analyzed. The calculation results exhibit that the SN bifurcation and Hopf bifurcation can coexist under certain conditions. The results of frequency response analysis show that the frequency response amplitude produces two branches with the increase of the excitation amplitude, and the two branches coincide with each other but the multi-solution region does not disappear when the excitation amplitude continues to increase. The length and the oblique angle of Euler-buckled beam have a great influence on the bifurcation characteristics, and the varying trend is similar. With the increase of parameters, the boundaries of SN bifurcation and Hopf bifurcation both decrease.
  • TAO Shanze1,2, HU Yuda1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 74-82.
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    By establishing the mechanical model of the ferromagnetic rectangular plate in the magnetic field, the nonlinear natural vibration under the constant magnetic field is studied, and the static load effect is considered. According to the Hamiltonian variational principle, the magneto-elastic nonlinear vibration equation of the rectangular plate in magnetic field, the expressions of magnetizing electromagnetic and eddy current electromagnetic forces are given. Based on the perturbation expansion method, the static deflection and nonlinear perturbation equations under action of magnetostatic force are determined. The approximate analytical solution and natural frequency expression of the vibration system are obtained by means of Galerkin method and multi-scale method. Through numerical calculations, for the rectangular thin plates of three materials, characteristic curves of natural frequency with time, magnetic field strength, initial value, plate aspect ratios etc. are given. The results show that the natural frequency increases with time and eventually tends to a certain value. With the change of magnetic fields in top and bottom surface, it may show a symmetrical trend. As the aspect ratios increases, natural frequency may decrease gradually, which means the system presents a typical nonlinear characteristics. In addition, the analytical solution and the numerical solution obtained in paper are in good consistence.
  • SONG Yubo1, LIU Yunhang1, ZHU Dapeng2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 83-91.
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    at the difficulty of extracting weak fault signals of bearings under strong noise background, combined with the advantages of Uniform Phase Empirical Mode Decomposition and Maximum Correlated Kurtosis Deconvolution method, an adaptive UPEMD-MCKD bearing fault feature extraction method was proposed.The minimum entropy kurtosis ratio was constructed by combining sample entropy and kurtosis index, and the minimum entropy kurtosis ratio was searched by genetic algorithm to obtain the optimal parameter combination of shift number, filter length and period.The noise signals preprocessed by Uniform Phase Empirical Mode Decomposition method were screened out by correlation calculation for signal reconstruction, and fault features were extracted from reconstructed signals by MCKD algorithm under optimal parameter combination.The analysis of inner and outer ring faults shows that the proposed method can effectively extract weak fault features from fault signals by virtue of UPEMD's noise suppression ability and minimum entropy ratio parameter combination optimization evaluation ability.
  • LIU Zhihao1, MA Chaoqun1, LIU Yixun1, GAO Qinhe1, ZHANG Boyu2, MENG Yan2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 92-102.
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    The study investigates the kinematic characteristic of the radial tire with a large section ratio (the section ratio is 1) with the continuous analytical elastic foundation modeling. A proposed tire model with a flexible belt on an elastic continuous stiffness foundation considering the coupled feature between the tire carcass and tire sidewall is investigated. The analytical multi-stiffness function of tire sidewall with a large flat ratio is researched with the pre-tension string and structural stiffness resulting from the sidewall deform. The influence on the radial stiffness, transfer function and modal frequency is discussed. The experimental and theoretical results indicate the following: (1) the radial segmented stiffness function of the curved sidewall is related to the inflation pressure, structural curvature, and material properties; (2) the analytical segmented sidewall model can be used to optimize the modal and transfer function of the tire.
  • LIU Yanhui1, CI Weizhu1,2, ZHAO Yichao1, WANG Luming1, XU Nan1, LIANG Jiayu1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 103-111.
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    Since most of the experimental studies on concrete-filled steel tubular members subjected to lateral impact are based on scaled tests, it is very important to satisfy the scaling law of impact. In this paper, based on the similarity criterion, the establishment of a similar model of concrete-filled steel tube subjected to lateral impact, determines the proportional relation between each parameter. On the basis of the model validation, the finite element model of concrete-filled steel tube under lateral impact was established using LS-DYNA, and size effect of deflection for concrete-filled steel tube under lateral impact was analyzed. The results show that the deflection size effect is small and the error is within 8% when members are not cracked. When members crack or fracture, the deflection size effect is obvious, and the error is more than 15%. Gravity, dynamic strength and fracture stress of materials are all factors that do not conform to the similarity criterion, and are also important reasons for the size effect of deflection for concrete-filled steel tube impact test. The deflection correction factor considering the size effect is proposed. The deflection in the large size prototype test can be predicted through the small size model test.
  • ZHANG Qian1,2, WANG Yulin3, ZHAO Junhai1, GAO Shan4,5
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 112-120.
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    When concrete-filled steel tube shows local corrosion, its impact resistance will be significantly affected. Therefore, the numerical model of high-strength concrete-filled square steel tubular column (HSCFST) is established by using ABAQUS. The effects of crack angle, crack length, impact surface and impact energy on the impact resistance of HSCFST column are considered. The results show that under local penetrating corrosion, the horizontal crack in the model under front impact will close, while the horizontal cracks in the models under side impact will appear "triangular" shape when the models are damaged. The impact force platform value is mainly affected by the impact surface, followed by the crack angle. The crack length mainly has a great influence on the models under rear impact. The increase of the crack angle and the decrease of the crack length are directly proportional to the increase of the impact force platform value. The impact resistance of the model bearing the front impact is better than that of the model bearing the side and back impact. Reducing the crack angle will increase the mid-span deflection of the member. The mid-span deflection of the member under front impact is less than that of the member under rear and side impact. The energy absorption rate of the model is directly proportional to the increase of the crack length and inversely proportional to the increase of the crack angle. The energy absorption rate of the models subjected to back impact is the highest, while that to front impact is the lowest. A practical calculation method for the improvement coefficient of dynamic flexural capacity of HSCFST columns under local penetrating corrosion is proposed.
  • WANG Tao1, HAO Jiedun1, MENG Liyan1, ZHENG Huan1, GONG Yuefeng1, WANG Zhen2, XU Guoshan3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 121-128.
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    In order to improve the convergence efficiency of the traditional iterative hybrid test (IHT) , a force corrected iterative hybrid tests method considering physical loading time delay (PLTD-FCIHT) is proposed. In this method, the two parts of the numerical substructure (NS) and the experimental substructure (ES) are exchanged for the whole time history data, including the inner loop control of calculation and loading in the time history and the iterative convergence control of the outer loop in the time history. In the inner loop of the time history, the force correction strategy is used to correct the ES reaction force in the numerical integration of the equation of motion. At the same time, the third-order polynomial extrapolation method is used to compensate the time delay of the physical loading displacement command. Combined with the fixed-point iteration in the time history outer loop, an outer loop iterative convergence controller is established to reduce the displacement response error between two adjacent rounds. Taking the three-layer frames viscous damper shock absorption structure as an example, the force correction strategy is verified by numerical simulation, and the influence of the loading time delay on the iterative convergence is further analyzed. The results show that the force correction strategy can effectively improve the iterative convergence efficiency, and the higher the ES reaction force correction accuracy is, the higher the convergence efficiency is; the physical loading delay has a significant impact on the iterative convergence, and the delay compensation can effectively improve the iterative convergence.
  • DONG Xiaomin, DENG Xiong, WANG Tao, LI Xin, YAN Maosen
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 129-138.
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    The helicopter seat is mainly in the vibration isolation condition, the stroke of damper is small, and the small damping force is continuously output. When helicopter crashes in an emergency, the damper needs to maintain a balance of force within the buffer stroke and provide large damping and large stroke. Considering the contradiction of damper design requirements under dual-mode working conditions of vibration isolation and anti-crash, a dual-mode magnetorheological damper (MRD)  with variable damping gap is proposed, which can meet the requirements of helicopter seat vibration isolation and anti-crash at the same time. To verify the effectiveness of the proposed structure, the mechanical model of damper is established, and the topology is optimized. Based on the optimization results, the prototype of MRD is manufactured and tested. The results show that Coulomb force of MRD under selected shock conditions is stable and controllable, and its vibration isolation unit has a good dynamic range. Both the maximum damping force and the dynamic range meet the design requirements.
  • YANG Zhizhong1, LIN Junzhi1, WANG Kui1, CHENG Ziyi2, LIU Pan1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 139-149.
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    In order to obtain purer concrete acoustic emission (AE) signals to monitor the fracture process of concrete structures more accurately, a complete ensemble empirical mode decomposition (CEEMDAN) combined with wavelet packet adaptive threshold method is proposed to reduce the noise of concrete AE signals under cyclic load. Signal-Noise Ratio (SNR) and fast Fourier transform (FFT) analysis are used to verify the feasibility of the method. The experimental results show that the noise reduction effect of concrete AE signal combined with CEEMDAN- wavelet packet adaptive threshold is better, which can effectively retain the characteristic information of concrete AE signal, and provide a new idea for concrete AE signal denoising, which lays a foundation for the subsequent use of AE signal to analyze the propagation and evolution characteristics of micro-cracks in concrete structure.
  • CHENG Yipeng1, PENG Zilong1, WEN Huabing1, SONG Hao2, GUO Yousong3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 150-158.
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    For the purpose of structural low-frequency vibration control, a multi-mode suppressor was designed based on the principle of dynamic vibration absorber (DVA). In order to study the vibration suppression effect of DVAs array and vibration suppressors array, dynamic coupling model of four-edge simply supported plate attached with DVAs array was established, vibration control effect of DVAs array was verified; A multi-mode low-frequency vibration suppressor was established, whose main component is rubber plate attached with mass block, rubber base attached with metal cylindrical shell. Axial resonance modal frequency of each component was theoretically calculated, geometrical parameters and material parameters of vibration suppressor was adjusted based on DVA parameters, vibration control effect of vibration suppressors array was verified by simulation and experiment. Results shows that: the best vibration control effect can be reached when biggest deformation location is covered by DVAs array or vibration suppressors array; both DVAs array and the vibration suppressors array have certain vibration control effect, different from the point contact between the vibration absorber and the controlled object, the surface contact amplifies the damping effect in vibration control, so the vibration control effect of the vibration suppressors array is more obvious.
  • SHI Jingwen, HOU Liqun
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 159-164.
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    This paper proposes a bearing fault diagnosis approach based on one-dimensional convolution attention gated recurrent network (1DCNN-Attention-GRU) and transfer learning to improve the accuracy and generalization capability of the fault diagnosis model with small sample size. Firstly, a fault diagnosis network based on a one-dimensional convolution network (1DCNN), gated recurrent unit (GRU), and attention mechanism is constructed to decrease the dependence of traditional fault diagnosis methods on the artificial experience. Then, transfer learning is introduced, which trains the fault diagnosis model with massive source datasets and freezes the basic structure of the model, and then obtains the final model by fine-tuning its top-level structure using less target domain data. Finally, the Softmax function is employed for fault classification. The experimental results show the fault diagnosis accuracy of the proposed approach is higher than the result of 1DCNN-GRU, GRU, and support vector machine(SVM). In addition, when 3% of target domain data is used for fine-tuning, the fault diagnosis accuracy reaches 98% for various bearing working conditions, which indicates the proposed fault diagnosis method with transfer learning can classify various bearing working conditions with small sample size.
  • LI Xinghui1,2, YUAN Yuchao1,2, XUE Hongxiang1,2, TANG Wenyong1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 165-173.
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    Vortex-induced vibration (VIV) occurs in slender structures under the action of ocean currents, which is one of the main causes of fatigue damage of marine risers. The riser is filled with oil and gas during operation, and the internal flow will generate inertial force, Coriolis force and centrifugal force, which makes the dynamic response of the riser more complicated. Based on a time-domain prediction model of VIV response of the riser with internal flow, VIV response of the riser with internal flow under uniform and shear currents are calculated. The Coriolis force with complicated mechanism is analyzed. Internal flow reduces natural frequencies and increases VIV amplitude of the riser under uniform current, and it triggers higher modal order response under shear current. Under uniform current, Coriolis force does positive or negative work in a certain area, causing the root-mean-square (RMS) displacement to increase or decrease respectively. Under shear current, Coriolis force increases the RMS displacement in the top area of the riser, and decreases the RMS displacement in the middle area. The larger the internal flow velocity is, the more significant the Coriolis force effect is.
  • CHANG Chun, MEI Jianmin, ZHAO Huimin, SHEN Hong, WANG Shuangpeng
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 174-180.
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    Aiming at the problems of strong noise interference, high subjective influence of artificial identification characteristics and low accuracy of automatic identification in diesel engine fault diagnosis,a diesel engine fault diagnosis method using convolutional neural network to identify the cumulant grayscale image of vibration signal was proposed. Firstly, using the innate characteristics of third-order cumulants to suppress Gaussian noise, the vibration signal of cylinder head was analyzed, and the grayscale image was generated as input of convolution neural network. Stochastic gradient descent with momentum algorithm and learning rate annealing method were used to train the convolutional neural network, and genetic algorithm was used to optimize training parameters, then the trained network was used to diagnose the faults of five working conditions of diesel engine high pressure oil circuit. The experimental results show that the grayscale images generated by third-order cumulants can suppress the noise effectively and display the characteristic information comprehensively. The method of learning rate annealing and genetic algorithm to improve the optimized convolutional neural network has good generalization ability, and has higher accuracy and anti-noise ability than the traditional method.
  • LIU Letian, LI Fansong, SONG Ye, LIU Chaotao, WU Pingbo
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 181-186.
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    Accurate bogie frame finite element model can provide guarantee for the early design and later optimization of the bogie, so as to avoid accidents caused by excitation and bogie frame modal resonance, but the error of bogie frame finite element modeling is inevitable. In order to obtain an accurate finite element model, this paper deduces the sensitivity matrix weighting algorithm. Based on this algorithm, the finite element model of bogie frame is modified with the frame modal test data as the benchmark, the equivalent elastic modulus at the weld and the main plate thickness as the correction parameters, and the minimization of the error of modal frequency and vibration mode MAC value as the correction goal, The correction results show that the error with the frequency test value is controlled within 1%. In addition, it is found that the MAC value correction effect of the architecture is not obvious, and the accurate model can still be obtained when only the frequency correction term is considered.
  • ZHAO Xiangyu1,2,3, ZHAO Chunjuan1,2,3, ZHANG Lei1,3, CHEN Shanbo3, SHI Yousheng3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 187-192.
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    The pyrotechnic shock environment is one of the worst mechanical environments experienced by spacecraft such as satellites, especially when the spacecraft is separated from the launch vehicle. The impact of the separation of the stars and arrows will affect the normal operation of equipment with shock-sensitive components and even the spacecraft, and can even lead to the failure of the launch mission in severe cases. Therefore, it is necessary to study the measures to suppress the impact of fireworks on the environment. Aiming at the problem of excessive shock response of a metal-frame micro-nano satellite during the star-arrow separation test during the development stage, the article combines the source of pyrotechnic shock load, the mechanism of pyrotechnic shock transmission and the method of suppressing pyrotechnic shock, and buffers the shock load of the entire star. The device is designed and verified by shock and vibration tests. The test results show that the pyrotechnic shock buffer device can reduce the shock load by more than 70%.The study results were very important for shock resistance analysis and structural design of aerospace products.
  • ZHANG Xiaonan1,2, YAN Shilin1,2, OU Yuanxun1,2, WEN Pin1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 193-198.
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    According to the deformation mechanism of auxetic re-entrant honeycomb structure, an auxetic re-entrant honeycomb structure with variable cross section is proposed. The dynamic characteristics of the three-dimensional structure were studied using ABAQUS, and the deformation mode of auxetic re-entrant honeycomb structure with variable cross section under quasi-static compression was analyzed and verified by experiments. The experimental results are in good agreement with the finite element method. The energy absorption performance of auxetic re-entrant honeycomb structure with the gradient variable cross section under different impact velocities was discussed. The results show that the energy absorption performance of bidirectional negative gradient honeycomb structure is found to be the best compared to the other three structures at different specific impact velocities. The conclusion provides a reference for studying the energy absorption of auxetic metamaterial under dynamic impact.
  • ZHAO Xiaoqiang1,2,3, ZHANG Yuchun1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 199-208.
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    Aiming at the problems that traditional methods cannot adaptively extract effective feature information in the fault diagnosis of rolling bearings, and the diagnosis effect of rolling bearings is not good under the influence of strong environmental noise interference, complex variable working conditions and other factors, the noise resistance and generalization is reduced, This paper proposes a dual-path parallel multi-scale method to improve the residual neural network. This method designs a multi-scale residual Inception module, which can effectively extract feature information. At the same time, the attention mechanism is introduced to solve the mutability and difference of the data. In addition, it also uses the residual blocks of multiple dilated convolutions to expands the receptive field, which helps to extract more characteristic information and realize accurate fault diagnosis. The diagnosis effects are trained and tested by using the Case Western Reserve University bearing data set and Southeast University gearbox data set. The proposed method is compared with other methods of convolutional neural network under the conditions of variable noise and variable working conditions, the highest rate of the proposed method is 99.73%, and the average accuracy rate is also above 95%, which is higher than other comparison methods. The results show that the proposed method has better fault identification ability and generalization ability under complex and changeable working conditions.
  • ZHANG Zhifei1, REN Hui1, CAO Sishi1, HE Yansong1, ZHANG Quanzhou2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 209-216.
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    In order to explore the noise reduction mechanism of plane jet on the vehicle sunroof buffeting noise, the Hyundai Simple Model with plane jet was numerically simulated by LES, and the noise reduction effect of plane jet was analyzed when the jet parameters are changed. The results show that after adding the plane jet, the motion trajectory of the shedding vortex changes, the pressure fluctuation in the cabin is reduced, and the buffeting noise is suppressed; the larger jet velocity ratio and jet opening width can bring better noise reduction effects; the noise reduction effect is different under different jet angles, the jet angle with the best noise reduction effect is about 110°-130°; the relationship between jet parameters, jet trajectory and noise reduction effect is explored, which provides a reference for the development and design of plane jet noise reduction device.
  • REN Liang, ZHEN Longxin, ZHAO Yun, DONG Qiancheng, ZHANG Yunpeng
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 217-226.
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    In order to effectively extract the weak fault characteristics of rolling bearing and accurately diagnose the fault in the environment of strong background noise, a rolling bearing fault diagnosis method combining singular spectrum analysis (SSA), variational mode decomposition (VMD) and maximum correlated kurtosis deconvolution (MCKD) was proposed. Firstly, the fault signal was decomposed by SSA algorithm, and the decomposed signal was filtered and reconstructed according to the time-domain cross-correlation criterion; Secondly, the whale optimization algorithm (WOA) was used to optimize the parameters alpha, K of VMD and L and M of MCKD respectively. The reconstructed signal was decomposed by the parameter optimized VMD, and the fault characteristic signal was extracted from the decomposed intrinsic mode function (IMF) according to the kurtosis index; Thirdly, the parameter optimized MCKD algorithm was used to enhance the impact characteristics in the fault characteristic signal; Finally, fault diagnosis was carried out through spectrum envelope. Simulation and experiments show that the proposed method can effectively extract and diagnose bearing faults under the interference of strong background noise.
  • LI Feiyin, MA Shaojie, ZHANG He
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 227-234.
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    Aiming at the technical requirements of shock-vibration coupling mechanical experiment, a new shock-vibration coupling mechanical experimental method of short interval and continuous shock and particle self-excited vibration is proposed, and a prototype of experimental system is designed. Based on the secondary development of EDEM software and VC++, the discrete element coupling simulation model of the experimental system is established, and the general law of particle self-excited vibration response is analyzed, on this basis, the self-excited vibration loading scheme is optimized according to the application requirement. The experimental research is carried out based on the developed mechanical experimental system and the self-excited vibration scheme, by comparing and analyzing the time domain and frequency domain signal of the acceleration response of the continuous shock loading and the shock-vibration coupling loading, the practical application effect of the selected particle self-excited vibration loading scheme is verified. The experimental system can meet the requirements of severe high dynamic and continuous shock mechanical experiments and continuous shock-multi vibration coupling mechanical experiments, the research has good scientific significance and engineering application value.
  • LIU Rongheng1,2, HU Jing1,2,3, DAI Junwu1,2, YANG Yongqiang1,2, CHEN Jiahui3, JIANG Tao1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 235-242.
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    The damage of nonstructural components in earthquake is the important reason for the loss of building function and significant economic loss, in which the damage of seismic bracing directly leads to the failure of piping system. Due to the lack of relevant research in China, six groups of quasi-static tests are carried out on a certain type of seismic bracing commonly used in the piping system. Through direct loading on the pipe (P1 specimen in the along pipe direction and P2 specimen in the vertical pipe direction), the failure mode and its average equivalent damping ratio under FEMA 461 loading testing protocol are obtained. According to the relevant provisions of FEMA P-795, the ultimate displacement, the yield displacement and effective ductility factor are taken as the engineering demand parameters, and the international general performance objectives of nonstructural components such as Damage limitation performance objective and Life safety performance objective are associated with the seismic fortification objectives of nonstructural components in GB 50011-2010. The average equivalent damping ratio of this kind of components is calculated, the average equivalent damping ratio can be used as the basis to judge the energy dissipation capacity of the specimen. The results show that the pull-out of P1 specimen is the main cause of piping system failure; P2 type test piece is the lead screw in the suspension support, which leads to the failure of the piping system; The weak links of the two kinds of specimens in the test are analyzed, and the corresponding improvement measures are put forward; The equivalent damping ratio of P1 specimen is 25%, and that of P2 specimen is 29%. This type of specimen has good hysteretic energy dissipation performance.
  • ZHU Di, ZHANG Wei, HUANG Zhiwen, ZHU Jianmin
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 243-254.
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    Aiming at the problem of low identification accuracy for key joints’ dynamic characteristic parameters of ball screw feed system, the deep neural network (DNN) which can characterize the mapping relationship between the dynamic characteristic parameters of the joint and the natural frequency of the whole machine, is proposed to establish the equivalent dynamic model of the whole feeding system. With the DNN predicted value and the experimental modal analysis value for the natural frequency of the whole feed system, the particle swarm optimization (PSO) algorithm is used to identify the stiffness and damping parameters of the key joints’ different directions for the feed system at the same time. As an example, the whole machine modeling, experiment and parameter identification are conducted for the self-designed and manufactured feeding system test-bed. The final identification result achieves high accuracy, which shows that the method is feasible and effective.
  • MA Long1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 255-269.
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    The radial variation of mass center enables the spherical robot to have two modes: the heavy pendulum driving mode and the inverted pendulum driving mode. Meanwhile, the radial movement of mass center based on the two modes make the motion state show different characteristics. The Combination of the function of radial variation of mass center and the task requirements in an unstructured environment is of great significance to the improvement of the practicability of the spherical robot. In this study, the experimental analyses of the spherical robot under different driving modes, different motion speeds and different slopes are carried out. According to the experimental results, the influence of the inverted pendulum driving mode on the control performance, motion ability and energy consumption level of the spherical robot are comprehensively analyzed and summarized based on 4 control performance indicators: the convergence speed, overshoot, stability and response speed of the control system, 2 sports ability indicators: climbing ability and steering ability, and energy consumption. Moreover, the correlation model of the motion characteristics requirements of the spherical robot and the radial position of the center of mass is constructed, which provides the basis for the selection of the driving mode and the radial position of the mass center of the spherical robot when facing different tasks.
  • LONG Yao1, ZHANG Tongwen1, ZHANG Jiasheng2, XIAO Yuanjie2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 270-279.
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    Railway subgrade construction needs to pass through the red sandstone area, the stability of red sandstone subgrade plays a vital role in train safety.  For the study of train loads of red sandstone coarse grained soil dynamic characteristics and the influence of particle breakage, the dynamic response test of red sandstone samples under dynamic loading was carried out by using a large indoor dynamic and static triaxial test system. And the effects of particle size and loading times on axial strain, dynamic softening and particle breakage were analyzed.  According to the results of dynamic crushing triaxial test, a particle breakage model under dynamic action was established and verified.  The results show that under certain loading times, the larger the particle size is, the larger the axial strain is.  The smaller the particle size is, the sooner the particle crushing and soil structure adjustment can be completed.  The softening curve of coarse-grained soil shows a semi-logarithmic relationship, and the softening coefficient decreases with the larger particle size.  Under dynamic load, large particle size mainly evolves into lower particle size and the most small particle size. The crushing form is grinding, and there is a limit crushing gradation.  According to the dynamic crushing test, the probability density function f of dynamic crushing was established, and the particle crushing model under dynamic conditions was established.  The model can well simulate the particle crushing process under dynamic action.  There was a linear relationship between Marsal particle breakage rate Br and mortality rate PS-T .  The research results can provide some theoretical reference value for the design of railway subgrade engineering. 
  • ZOU Hongbo1,2, SONG Jiale1,2, LIU Yuan2, DUAN Zhifeng2, ZHANG Xinyu2, SONG Lu2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 280-286.
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    The galloping of transmission lines often leads to electrical accidents such as wear of fittings, flash-over, and disconnection, which has a great negative impact on the safety of the power system. The dynamic response of the iced quad bundle conductor under the action of average wind and fluctuating wind was simulated by ANSYS software under the conditions of different spans, wind speeds, etc. Then, the early warning model was constructed based on the PSO_SVM(particle swarm optimization—support vector machines) algorithm and the data set obtained from the simulation, which takes the span, wind speed and initial wind angle of attack as the input, and whether galloping as the output. At the same time, the prediction results of the PSO_SVM model are compared with those of other intelligent algorithms such as BP(back propagation), SVM(support vector machine), and GA_SVM(genetic algorithm—optimization support vector) models to verify the practicability and effectiveness of the prediction model. It is proved that the prediction results of the PSO_SVM model have higher accuracy, which has a certain reference significance for the early warning of the galloping of iced transmission lines.
  • FAN Zhiqiang1, CHANG Hanlin1, HE Tianming1, ZHENG Hang2, HU Jingkun1, TAN Xiaoli1
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 287-296.
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    Two polyvinylidene fluoride (PVDF) based pressure gauges were prepared using flexible copper-clad polyimide film and conductive polymer tap as the packaging layer, marked flexible copper-clad polyimide film(FCP) and conductive polymer tap(CPT), respectively. The calibration experiments of sensitive coefficient were performed based on the split Hopkinson pressure bar (SHPB). The influence of the several structural geometry factors and material properties on measuring performance of two pressure gauges were studied through mesoscopic finite element simulation. The results shown that the fitted sensitivity coefficient for FCP and CPT gauges were 33.1±0.3pC/N and 35.1±0.6pC/N in the stress range of 20-320MPa, respectively. CPT has higher measuring confidence than FCP when the pressure was below 50MPa, but CPT also show the amplitude attenuation and pulse width increase because of high packaging thickness and the viscosity of the polymer conducting layer. Dynamic compression of CPT shown significant strain rate sensitivity, while the dynamic stress-strain response of FCP displayed typical nonlinear piecewise features due to the mechanical failure of the conductive and glue layers. Numerical simulation indicated that the mismatch of thickness and material properties between the core and the sensitive element both influenced the stress pulse of the pressure gauge, and the measuring error caused by the raised core was largest. Besides, it was found that the stress state of sensitive element (SE) was more approximate to the one-dimensional strain state with the increase of loading amplitude and the decrease of the packaging thickness. The charge output of SE was synthetically determined by triaxial stress and piezoelectric coefficients. The nominal sensitivity calibrated by SHPB tests was closely related to the stress state of SE, mismatch of material properties between core and SE, geometric defects and the strain rate effect. Therefore, it was suggested that the package and calibration of pressure gauge should be according to the measuring condition and the stress pulse characteristics.
  • ZHANG Jiayu1,2,ZHAO Taiyong2,FU Jianping2,YIN Likui2,WANG Weizhan2,MENG Fangao3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 297-303.
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    In order to provide effective reference data for the design of warhead damage element, it is useful to carry out researches on the effects of the mass of typical column fragment and the target attitude on the ballistic limit velocity (V50) of armor steel. In the condition of a 5g-mass tungsten column with aspect ratio of 1 at 0° and 90° target attitude through ballistic impact test, the V50 of 10mm armor steel was achieved: the V50 of tungsten column fragments penetrating 10mm armor steel in longitudinal direction is 745m/s, and the V50 of tungsten column fragments penetrating 10mm armor steel in transverse direction is 761m/s. In the process of penetration, the tungsten column fragments were upset transversely, and the heads of the fragments were extruded and abrased by the target plate so that the fragment formed a mushroom head-shaped flap. Because of the limitations of the single experimental data, the V50 of three typical tungsten columns (3g, 5g and 8g) penetrating 10mm armor steel in different target attitudes were achieved by using the numerical simulation. And the influence of target attitudes and fragment quality on V50 were also explored. The relative error between the numerical simulation and test results was about 10% through making a comparison. It founds that the V50 of tungsten column penetrating armor steel has fluctuation range under different target attitudes. V50 is the minimum when the fragment is vertically facing the target, and the maximum V50 is the maximum when the fragment is at the target attitudes angle of 40° ~ 60°. The V50 of tungsten column penetrating armor steel is positively correlated with the windward area of the fragment. When 3g tungsten column penetrating armor steel, the maximum of V50 increases by 4.98%, 5g fragment increases by 3.51%, and 8g fragment increases by 2.62% compared with the minimum of V50. The heavier the tungsten column fragment, the less obvious influence of different target attitudes on the V50 of tungsten column fragment penetrating armor steel. At the same time, the fluctuation range of V50 is smaller.
  • WU Junhan1,2, WEN Yongpeng1,2,3, ZONG Zhixiang4, ZHOU Yue1,2, DONG Haoliang1,2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 304-312.
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    The improvement of metro speed is the inevitable trend of rail transit development in the future. Wheel wear under service conditions will decrease the wheel radius and increase the equivalent conicity, which is prone to occur vehicle hunting instability.To maintain the lateral motion stability of the accelerated metro vehicles under service conditions, the wheel wear of metro vehicles on a certain line in Shanghai was obtained through investigation. The 17-DOF lateral dynamic model of metro vehicles with anti-yaw damper was established to study the influence of wheel wear on the lateral motion stability of metro vehicles. Comparison of the hunting critical velocity of vehicles with or without anti-yaw damper pointed out the necessity of installing anti-yaw damper for improving themetro speed under service conditions. It is shown that the decrease of wheel radius and the increase of equivalent conicity of metro vehicles under service conditions will reduce the critical velocity and increase the camplitude of hunting motion.The installation of anti-yaw damper can fundamentally solve the problem of insufficient lateral motion stability margin caused by wheel wear and speed increase of metro vehicles, it can also avoid the primary hunting motion of metro vehicles under abnormal parameter matching at the same time. The work of this paper has a certain reference value for improving themetro speed under service conditions and the maintenance of wheels and rails.
  • YUAN Weize1, XU Gancheng1, LI Chengxue1, NIE Mengqi1, XIE Xuhu1, CHEN Linheng2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 313-321.
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    In order to obtain a high-strength steel sheet with excellent explosion-caused collapse resistance, the rolling process and heat treatment method of the high-strength steel sheet and the anti- collapse effect of the concrete-steel double-layer structure were studied. The research mainly adopts the methods of laboratory trial production, on-site explosive collapse test and numerical calculation. The results show that when the cooling rate reaches 30℃/s, the steel plate sample structure is composed of a single martensite. The double-pass compression process is adopted, and the temperature of the austenite recrystallization zone is controlled above 1000°C, which can ensure that the rolling process is in the austenite recrystallization zone and the grains are fully refined. For the rolling in the austenite unrecrystallized zone, the temperature of the second-stage start-up rolling is controlled between 880 and 980°C. The tempering process of water quenching at 910°C for 30 minutes and tempering at 600°C for 50 minutes can be used to obtain a complete tempered sorbite structure. The fine-grained cementite is dispersed in the ferrite matrix, and the high-strength steel plate has the best comprehensive mechanical properties at this time. Using 6mm thick high-strength steel plate as the target backplane, the amount of concrete is reduced by 25%, the amount of steel is reduced by 25%, the deformation is reduced by 42mm, and the damage degree and scope of the concrete slab are also significantly reduced, indicating that the high-strength steel plate has a better anti-explosive collapse effect, and the anti-collapse coefficient can be taken as 0.196.
  • CHENG Bing1,2, WANG Haibo2, ZONG Qi2, XU Ying2, WANG Mengxiang2
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 322-329.
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    Aiming at the poor effect of mid-deep hole cutting blasting in rock roadways, a mid-deep hole cutting blasting scheme based on directional presplitting of slit charge was designed. Firstly, the influence of directional presplitting on the cutting cavity formation was analyzed theoretically. Then, simulation was conducted to reveal the damage process and damage mechanism of rock mass in the cutting cavity. Finally, field tests were carried out to explore its application effect. Results showed that directional presplitting faces could be formed along the line of presplitting holes after slit charge blasting in each presplitting hole. Directional presplitting faces owned free face reflected tensile effect and stress wave barrier effect, thus the rock mass in the cutting cavity could be fully damaged to form rock fragments which were easy to be thrown. And they could reduce the cavity formation resistance, which was conducive to the cavity formation after cutting hole blasting. The numerical simulation could visualize the damage process of rock mass in the cutting cavity, and the free face reflected tensile effect and stress wave barrier effect of the directional presplitting face could be proved by simulation results. Compared with the existing ordinary cutting blasting technique, when the innovative cutting technique was used in the mid-deep hole blasting of a rock roadway, the average effective footage and average hole utilization rate were increased by 0.29m and 11.6% respectively, and the average explosive consumption and average detonator consumption were reduced by 0.19kg•m-3 and 0.13 PCS•m-3 respectively. The results verified the applicability of the novel cutting technique in the mid-deep hole blasting of rock roadways.
  • WANG Juke1, LI Xiaojun2, LIU Aiwen1, CNEN Su2, FU Lei1, LI Fangfang3
    JOURNAL OF VIBRATION AND SHOCK. 2023, 42(3): 330-338.
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     A transfer function matrix (TFM) is established to study the interaction mechanism between shaking table and eccentric load. The effects of mass ratio between eccentric load and shaking table, the moment of inertia ratio between eccentric load and shaking table, and the ratio of the distance from the center of gravity of load to the center of the shaking table to the distance from the exciter to the center of shaking table (eccentric distance ratio) on the TFM are investigated. The results show that the TFM is most sensitive to the change of the mass ratio, followed by the eccentric distance ratio and the moment of inertia ratio. Under the influence of the interaction between the shaking table and eccentric load, the effective frequency band of the shaking table decreases 71.13%, and the coupling between two exciters is amplified at least 37.15 times. Based on the above research, an extended form of real-time feedback control compensation strategy is proposed, and the effectiveness validation of the strategy in both frequency and time domain are conducted. The results show that the correlation coefficient of ground motion record of two exciters is improved by 14.04% and 4.78% respectively, and the strategy can compensate the interaction between shaking table and eccentric load effectively.