28 October 2025, Volume 44 Issue 20
    

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    VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH
  • MAO Xiuli1, 2, 3, CAO Tianyu1, 2, WANG Yifan1, 2, LIU Zhiming1, 2, YIN Jinbu1, HE Junling1
    Journal of Vibration and Shock. 2025, 44(20): 1-8.
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    Pump-turbine achieve precise grid response in pumped storage power plants by rapidly and frequently switching operating conditions.However, prolonged operation under variable conditions affects the unit’s hydraulic efficiency and structural performance.This study investigates a Francis pump-turbine under power generation mode during load-increasing conditions, employing the SST k-ω turbulence model and fluid-structure interaction method to resolve the internal flow and structural fields.The results reveal that the dominant pressure pulsation frequency in the runner passage is 20.00fn, while in the vaneless region, the primary frequencies are single blade frequency of the runner 9.00fn and double blade frequency of the runner 18.00fn (fn is runner rotating frequency).When the load is below 60%, blade inlet attack angles (ranging from 8.26°-18.08°) induce circumferential vortices, horseshoe vortices, and trailing-edge vortices within the runner domain, generating high-amplitude pressure pulsation regions (0.017-0.023).In contrast, when the load exceeds 60%, vortex core breakdown attenuates the intensity of pressure pulsations.Regarding structural response, the average deformation of the blade’s crown and band decreases along the runner passage (with differences of 7.6 μm and 5.3 μm between the inlet and outlet, respectively).Certain nodes in the crown and band are influenced by fixed constraint zones, resulting in significantly higher mean equivalent stress compared to unconstrained locations.Additionally, blade deformation increases from the crown and band toward the center, reaching a peak, while equivalent stress follows an inverse spatial distribution.The coupled analysis of the flow and structural fields reveals a linear positive correlation between average blade deformation and torque, whereas the average equivalent stress is linearly negatively correlated with flow rate.The blade deformation exhibits a linear correlation with the moment, and the equivalent stress in the middle third region of the blade shows a linear correlation with the flow rate.In contrast, the equivalent stresses in the front third and rear third regions of the blade demonstrate cubic and quadratic correlations with the flow rate, respectively.
  • MENG Hongbo1, CAO Yipeng1, LI Liaoyuan2, ZHANG Runze3, LIU Wei2
    Journal of Vibration and Shock. 2025, 44(20): 9-17.
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    Due to its high strength and orthotropy, corrugated plate is widely used in construction, transportation, and other engineering fields.For structural design and optimization, studying the vibration characteristics is important.A unified analytical method for vibration analysis of corrugated plate with arbitrary elastic boundary conditions was proposed.Firstly, a corrugated plate model was built by the homogeneous method and the Kirchhoff plate theory.The arbitrary elastic boundary of corrugated plate was treated as artificial spring.Secondly, the improved Fourier series was adopted to construct the displacement, and the Rayleigh-Ritz method was employed to acquire the free vibration characteristics.The accuracy of analytical model was confirmed by the references and the finite element simulation.Finally, the effects of key parameters of corrugated plates were studied.The results show that the influence of corrugated parameters on the vibration characteristics of the structure is directional.This method is easy to realize the fast calculation of the dynamic characteristics of the corrugated structure and provides convenient and effective theoretical support for engineering practice.
  • WANG Zhisong1, 2, LOU Dayun1, WU Guowei1, LIU Hanliang1, XU Qinglu1, LIN Wenqian1
    Journal of Vibration and Shock. 2025, 44(20): 18-27.
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    Downbursts mostly occur in hilly areas, and the local topography has a great impact on the wind field of downbursts.Based on computational fluid dynamics, the cold source model, which is more consistent with the occurrence mechanism of downburst storms, is used to explore the wind field characteristics of downburst storms over escarpment terrain in this paper.The main research includes: comparing the two numerical models of the cold source and the impinging jet, and investigating the wind field characteristics of the two models; and then, based on the cold source model, the wind field of downburst storms influenced by escarpment terrain was analyzed, and the wind field characteristics affected by the terrain were given.The results show that: the flow in the impinging jet model is mainly dominated by the shear layer instability, while the cold source model produces a relatively smooth outflow, which is more in line with the wind field characteristics of the actual downwash storm; compared with the wind field on flat land, the wind field on escarpment with different escarpment gradients has localized acceleration phenomena at the top gable position of the escarpment, whereas the wind speeds at the bottom of the escarpment at the starting escarpment position have obvious deceleration compared with that of the flat land, and the deceleration effect is greater and greater with the increase of the escarpment gradient; the air flow along the escarpment is influenced by the topography.The deceleration effect is getting bigger and bigger; the deceleration effect of wind speed decreases gradually during the process of airflow rising along the escarpment, until the acceleration effect occurs near the ground at the top of the escarpment at the gable end position; the height of the escarpment and the radial distance of different gable end positions have little influence on the acceleration effect of the escarpment, while the escarpment gradient has a greater influence on the acceleration effect of the escarpment.
  • DUAN Juxuan, ZHANG Sihua, QIAN Hui
    Journal of Vibration and Shock. 2025, 44(20): 28-39.
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    To combine energy dissipation and self-centering capabilities, SMA bolts were used as self-centering elements, paired with an X-shaped metallic damper to enhance energy dissipation. A novel Shape Memory Alloy-Mild Steel Hybrid Damper (SMA-MSHD) was proposed. This study describes its configuration and deformation modes, establishes a restoring force model through theoretical analysis, conducts cyclic a tensile test, and develops a finite element model. Results show that the SMA-MSHD exhibits a typical "flag-shaped" hysteresis curve, demonstrating excellent energy dissipation and self-centering performance. The theoretical model, experimental data, and finite element analysis agree well. Based on the validated model, nine additional models were created for parametric analysis, focusing on the SMA bolt's reduced diameter, X-shaped plate thickness and strength, and SMA bolt pre-strain. The parametric analysis results reveal that increasing the reduced diameter of the SMA bolt enhances the output force and secant stiffness of the SMA-MSHD but reduces its damping capacity. Increasing the thickness and strength of the X-shaped steel plate improves the fullness of the hysteresis curve, thereby enhancing the energy dissipation capacity of the SMA-MSHD. Applying pre-strain to the SMA bolt effectively reduces the residual deformation of the SMA-MSHD and increases its elastic stiffness and secant stiffness, but it also decreases the maximum deformation capacity of the SMA-MSHD.
  • SHAN Renliang1, LIANG Junqi1, GAO Wenjiao2, DAI Qihang1, XIAO Shengchao1, SONG Wei1, WANG Yidi1
    Journal of Vibration and Shock. 2025, 44(20): 40-48.
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    To investigate the dynamic mechanical properties of hard sandstone in coal mining faces, uniaxial impact compression tests were conducted on sandstone using a 75mm diameter SHPB (Split Hopkinson Pressure Bar) test system. The experimental results revealed a significant strain rate effect on the dynamic compressive strength of the sandstone specimens. Subsequently, based on the constitutive curves obtained from the tests and considering the linear elastic characteristics of the damage element in the time-dependent damage model prior to damage, an improved third-generation dynamic time-dependent damage constitutive model suitable for sandstone was developed. Through fitting analysis with the measured data, the parameters of the model were found to be reasonable with clear physical meanings, effectively describing the dynamic mechanical behavior of sandstone. Finally, the energy dissipation characteristics of the specimens under different strain rates were analyzed. It was found that when the incident energy ranged from 240 to 400 J, the energy absorption coefficient of the specimens could remain stable above 0.3, resulting in an ideal fragmentation effect. These findings can provide valuable references for the design and construction of ultra-deep hole blasting. 
  • YANG Shaochong1, 2, 3, JIN Jialin1, 2, 3, QIU Fuwei1, 2, 3, YAN Yujie1, 2, 3, MA Lianhua4
    Journal of Vibration and Shock. 2025, 44(20): 49-59.
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    Current methodologies for structural damage identification, based on Proper Orthogonal Decomposition (POD) and Kalman Filter (KF) (POD-KF), primarily focus on tracking the evolution of the first-order Proper Orthogonal Mode (POM) to identify structural damage. However, these methods exhibit limited sensitivity to minor damage. To improve its identification capability, we develop an enhanced approach, KFRPOD, which integrates Kalman Filtering (KF) with Recursive Proper Orthogonal Decomposition (RPOD). The present method constructs a snapshot matrix based on dynamic strain response data, thereby circumventing the challenges encountered in practical engineering applications, such as the high cost of displacement sensors, difficulty in sensor placement, and the complications arising from environmental factors that hinder the collection of displacement data. The RPOD technique is employed to extract significant POMs from the snapshot matrix, facilitating the development of a reduced-order model. This reduction in dimensionality reduces the degrees of freedom in structural analysis and addresses the computational challenges associated with damage identification. During each iterative step, the observed vector components are updated dynamically, and lower-order POM effects are systematically eliminated during both the observation and posterior estimation phases. This allows for the dynamic updating of the reduced-order model constructed by POMs, while also tracking the evolution of the damage and localizing it. The effectiveness of the developed method is demonstrated through numerical simulations and experimental validation on a five-story steel frame model. The results indicate that the KFRPOD method is capable of tracking higher-order POMs, significantly enhancing the accuracy of damage identification, and facilitating real-time online structural health monitoring.
  • SHI Wenlong1, 2, LU Zhangwei1, SHU Zhan1, PENG Zhicheng2
    Journal of Vibration and Shock. 2025, 44(20): 60-66.
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    A novel dual-stage friction damper (Dual-Stage Friction Damper, DSFD) is proposed. It uses an optimized sliding plate structure to realize staged preload release. A stable multi-stage energy dissipation mechanism is formed to meet seismic demands under various conditions. A mechanical model is established based on Coulomb’s law. The stage-switching behavior of friction force is explained. Reciprocating loading tests are conducted under different displacements and frequencies. Results show stable hysteresis performance in both stages. Loading parameters have little effect. Good fatigue performance is observed. Finite element simulations further study the influence of preload and slider size. Numerical results agree well with experiments. The proposed DSFD is simple in structure and reliable in performance. It shows good potential for engineering applications.
  • HU Zhi, ZHAO Xiaochen, LIU Gongmin
    Journal of Vibration and Shock. 2025, 44(20): 67-74.
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    The acoustic wave decomposition method is an important approach for obtaining the acoustic transmission characteristics of pipeline components. In common thin-walled fluid-filled pipelines, the strong coupling between the internal fluid and the pipe wall structure invalidates the assumption of plane waves. This paper proposes an acoustic wave decomposition method based on fluid-type waves and longitudinal extension waves, and successfully predicts the acoustic response within the pipeline. For typical pipe diameters in thin-walled fluid-filled pipelines, traditional methods based on plane wave theory fail to accurately predict the reflection characteristics at the free liquid surface. In contrast, the proposed method calculates the acoustic reflection coefficient, which matches theoretical reflection coefficients and aligns well with experimental results. The accuracy of the proposed method is superior to that of traditional methods based on plane wave theory. The proposed method offers a new approach for the performance prediction and testing of acoustic elements in thin-walled fluid-filled pipelines.
  • LI Xiaowei1, HUANG Xueying2, ZHOU Kedong1, LU Ye1, HE Lei1
    Journal of Vibration and Shock. 2025, 44(20): 75-85.
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    In order to study the difference of the motion process in the bore between the cased telescoped ammunition and the conventional projectile, taking a medium-caliber cased telescoped ammunition as the research object, the finite element simulation models of the in-bore motion of cased telescoped ammunition and conventional projectile was established respectively, by utilizing the amplitude subroutine (VUAMP) to apply the bottom pressure of the projectile, Through simulation, the differences between the two kinds of projectiles in the change of morphology, engraving resistance, and angular velocity, force on projectile’s driving side, and the stress change of the surface of the bullet jacket were obtained. At the same time, the phenomenon of chamber offset that may occur in the automatic weapon firing cased telescoped ammunition was studied. The results showed that: compared with the conventional projectile, the strong impact of projectile engraving caused by the long free path of the cased telescoped ammunition causes more obvious plastic deformation on the surface of the bullet jacket, which was manifested as 'trapezoidal 'notch, but the maximum chamber pressure, muzzle velocity and angular velocity were lower. The force on projectile’s driving side of the cased telescoped ammunition was always at a high level during engraving. The higher initial impact velocity of the cased telescoped ammunition made the surface stress of the bullet jacket higher than that of the conventional projectile. For chamber offset, with the increase of the offset of the chamber, the surface structural integrity of the projectile became worse. The engraving velocity also showed a decreasing trend, and the motion stability of projectile in the bore became worse. Due to the collision between the cased telescoped ammunition and the barrel caused by the offset of the chamber, the projectile 's engraving velocity was reduced, resulting in a slower increase rate of the space behind the projectile, the maximum chamber pressure, muzzle velocity and angular velocity of the projectile were also increased. The results provides a reference for the further studies of the bullet-barrel interaction, the aerodynamic parameters of the projectile and the design of automatic weapons.
  • LIANG Huijun1, FU Jie1, LI Jian2, YIN Qiang2, XIONG Yuanwang2, YU Miao1
    Journal of Vibration and Shock. 2025, 44(20): 86-93.
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    Magnetorheological dampers (MRDs) with asymmetric damping characteristics, defined by low compression and high extension, are critical for effective vibration damping and shock mitigation. However, these characteristics introduce significant modeling challenges and limit applications. So, a parameterized model was developed. The mechanism responsible for asymmetric force generation in conical flow channel magnetorheological dampers (CFC-MRD) was examined. Experimental measurements conducted under varying excitation displacements and driving currents validated the presence of asymmetric damping force output. An advanced asymmetric Bouc-Wen model, featuring tunable forward and reverse hysteresis operator parameters, was designed to accurately describe asymmetric characteristics. The proposed model achieved a 78.07% improvement in accuracy for identifying asymmetric features compared to conventional symmetric models. This work establishes a reliable framework for modeling the asymmetric mechanical behavior of MRDs.
  • ZHAO Xinyang, MEI Zhiyuan, WANG Shuo, ZHANG Zhan, AN Shuyue
    Journal of Vibration and Shock. 2025, 44(20): 94-105.
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    This study proposes a dynamic analysis model incorporating neutral surface correction to address vibration prediction challenges in asymmetric stepped cylindrical shells with offset configurations. Based on first-order shear deformation theory, a domain decomposition approach divides the asymmetric offset structure into axially continuous subdomains, while a stiffness-geometry coupled correction strategy eliminates local geometric offset effects. The virtual spring technique enables arbitrary boundary conditions and ensures displacement compatibility between subdomains, with interface connections established at the global neutral surface to satisfy both displacement continuity and internal force equilibrium conditions. The Jacobi-Ritz method is employed for natural frequency determination, supported by convergence analyses identifying optimal parameters including spring stiffness thresholds, subdomain partition numbers, and Jacobi polynomial coefficients. Validation demonstrates maximum errors of 0.60% against reference solutions and 0.72% compared with finite element analysis. Key findings reveal that when the circumferential half-wave number n≥5, boundary effects demonstrate significant attenuation characteristics, while low-order modes exhibit heightened sensitivity to axial constraints. Step position offset induces limited frequency fluctuations, and increasing length-to-diameter ratios reduce natural frequencies systematically. The thickness-to-radius ratio predominantly influences higher-order vibration modes. Adopting thin mid-section configurations effectively enhances low-order natural frequencies, whereas thick mid-section designs demonstrate critical stiffness thresholds that constrain their effectiveness in suppressing high-order vibrations. Notably, angular parameter sensitivity shows strong correlation with vibration mode characteristics, with circumferential vibration peak angles exhibiting positional shifts dependent on structural configurations.
  • HUANG Taolin, ZHANG Zhimeng, JI Chunning, DU Muyuan, LI Xianghe
    Journal of Vibration and Shock. 2025, 44(20): 106-115.
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    The flow-induced vibrations of a horizontal pendulum equilateral triangular prism in a uniform flow was studied by the direct numerical simulation using the embedded iterative immersed boundary method. The study analyzed the vibration responses, fluid force characteristics, and vortex-shedding patterns of the prism at a Reynolds number of 100 under different non-dimensional pendulum lengths R/H (where R and H are the pendulum length and the edge length of the triangular prism, respectively). The findings revealed that as R/H increased, the amplitudes of in-flow and cross-flow vibrations of the prism gradually increased, while the amplitude of the swaying angle decreased. The vibration response of the horizontal pendulum triangular prism in a uniform flow exhibited a 3-order super-harmonic resonance, and the fluid forces displayed two modes: super-harmonic lock-in and lock-in. Based on the force characteristics and vortex-shedding patterns of the triangular prism, the vibration response was divided into five stages, with each stage further subdivided into two sub-stages. Each stage corresponded to a distinct vortex-shedding pattern, and as R/H increased, the number of vortices shed from the triangular prism in one period increased progressively. In the first sub-stage, the fluid forces exhibited a coexistence of vortex-induced vibration and galloping, whereas in the second sub-stage, galloping became the dominant characteristic. At the transitions between adjacent stages, the vibration and force frequencies of the triangular prism underwent abrupt changes, and the vortex-shedding patterns displayed competition among multiple modes.
  • CIVIL ENGINEERING
  • XIAO Dong1, CHEN Shuang1, LU Ping1, LIU Hongyuan2, PENG Dekun3, HE Dongdong2, WEN Lina2, ZHAO Zhi2
    Journal of Vibration and Shock. 2025, 44(20): 116-123.
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    To study the influence of earthquake action on the fracture behavior and failure mode of concrete, a three-point bending test was conducted on a concrete beam with a prefabricated gap in the center under earthquake level strain rates (10-6 s-1~10-3 s-1), with a focus on the effect of strain rate on the P-CMOD curve, fracture toughness, and fracture energy of the specimen; At the same time, real-time monitoring of concrete fracture damage is carried out by combining acoustic emission (AE) technology, and AE characteristic parameters are used to characterize the signal of concrete crack propagation, damage evolution, and failure mode under dynamic fracture load. The experimental results showed that as the strain rate increased from 10-6 s-1 to 10-3 s-1, the peak load of the specimen increased by 32.8%, the initiation toughness and instability toughness increased by about 2 times and 1 time respectively, the fracture energy increased by 32.4%, the AE energy increased by 67.3%, but the cumulative ringing count decreased by 29.7%, the number of damage sources decreased significantly, the width of the fracture process zone narrowed, and the fracture surface became flatter and smoother; As the strain rate increases, the proportion of tensile cracks decreases, while shear cracks increase. At the seismic strain rate level, tensile failure is still the main mode, and fracture failure still belongs to “type I”. It can be seen that there is a significant rate correlation between the fracture behavior, damage evolution, and failure mode of concrete; On the other hand, it is feasible to use acoustic emission technology to describe the fracture damage and evolution process of concrete under dynamic loads, which can provide reliable and efficient detection methods for understanding the characteristics of concrete crack propagation and early warning of fracture failure under seismic strain rates.
  • HUANG Yaobin1, XIA Xiushen1, LI Xiuhua2
    Journal of Vibration and Shock. 2025, 44(20): 124-131.
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    To enhance the energy dissipation capacity of railroad self-centering bridge piers, two energy dissipation strategies are proposed: adding unbonded energy-dissipating reinforcement at the base of the pier and using liquid viscous dampers. Taking a railroad bridge as the engineering context, an analytical model is developed using the OpenSees platform. Twenty-one near-fault ground motion records are input, and a nonlinear time-history analysis is conducted to compare the seismic response of the free-swinging piers. The effects of the energy-dissipating reinforcement and liquid viscous damper schemes on the seismic response of the self-centering bridge piers are then investigated. Parametric analyses are performed for the energy-absorbing steel reinforcement scheme, using the energy dissipation factor β as a key parameter, and for the liquid viscous damper scheme, using the damping coefficient C and velocity index α as key parameters for the self-centering abutment. The results show that both energy-dissipating systems can reduce the top-of-pier displacement, although they may increase the bottom-of-pier moment response. The energy-dissipating steel solution outperforms the liquid viscous damper solution in reducing the top-of-pier displacement. The top-of-pier displacement decreases as the energy dissipation factor β increases, while the bottom-of-pier bending moment increases with higher β values. When β is 0.8, the energy-dissipating reinforcement effectively reduces the top-of-pier displacement without significantly increasing the seismic bending moment at the bottom of the pier. The top-of-pier displacement decreases with an increase in the damping factor C but increases with a higher velocity index α. When the velocity index α approaches 1, the pier bottom bending moment is minimally affected by changes in the damping coefficient C.
  • WANG Zhen, YU Qihang, LI Xinwei, CHENG Xiaojun, WU Bin
    Journal of Vibration and Shock. 2025, 44(20): 132-140.
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    An efficient analysis method for the entire progressive collapse process of RC frame structures based on OpenSees is proposed to address the long computation time and convergence issues in rapid assessment of collapse resistance. It employs a discrete mass model and explicit step-by-step integration, avoiding the iterative convergence problems inherent in implicit analysis methods and the cumbersome modeling process and high computational cost of detailed finite element analysis, enabling fast simulation of the entire progressive collapse process of RC structures. The method's effectiveness and accuracy were validated by comparing it with the LS-DYNA model, considering three column removal scenarios for the RC frame structure: side column, intermediate middle column, and middle column on the ground floor. The results show that the method accurately simulates collapse morphology, key node displacements, and collapse evaluation index, closely matching the detailed LS-DYNA model calculations. Additionally, it can comprehensively reveal the redistribution of internal forces, beam-column joint touchdown to the ground, and chain reactions during process, providing a effective simulation of the entire collapse process of RC frame structures. This study demonstrates that the proposed method offers both high computational efficiency and applicability for rapid collapse behavior assessment under various column removal conditions, providing a valuable tool for structural collapse resistance research.
  • YIN Xinfeng1, CHEN Tao1, HUANG Zhou1, QUAN Yang1, MENG Jin2
    Journal of Vibration and Shock. 2025, 44(20): 141-151.
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    For the complicated terrain where the high pier is located, the traditional construction quality inspection method consumes a lot of manpower, material resources and time, and the inspection accuracy is susceptible to environmental conditions. Hence, a three-dimensional (3D) reconstruction modelling method based on an unmanned aerial vehicle (UAV) is proposed, aiming at intelligent quality inspection of high pier construction. The method combines a fixed-point encircling and layered flight data acquisition strategy, utilizing UAVs to achieve a full range of data acquisition. By extracting the target features in the image, the key pixel points are mapped to the 3D space using the coordinate transformation technique, and then the refined 3D model is generated with the help of irregular triangular mesh surface reconstruction method. Finally, the appearance quality of the high piers was examined by detecting concrete defects in the captured images with the target detection algorithm based on YOLOv8-LDFM. A field test was conducted on a bridge under construction, and after completing the set six rounds of flights, the images achieved 75.8% and 84.2% of the heading and side overlap, respectively. After the images were subjected to coordinate conversion and 3D reconstruction, the Rk was less than 1.0 at all locations of the generated high-pier 3D model. The target detection algorithm proposed in this study detected the cosmetic quality of the high piers and found three pockmarks and two seepages, which were detected with good results. The maximum error rate of the 3D reconstruction model is 0.200%, which meets the requirements of engineering design accuracy and verifies the applicability of the method with its high accuracy.
  • WANG Tiankai1, MA Qiang1, 2, ZHOU Fengxi3, SHI Tianyu1
    Journal of Vibration and Shock. 2025, 44(20): 152-166.
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    Based on the wave theory of saturated frozen soil medium, the scattering problem of plane P-waves incident on the underground tunnels of saturated frozen soil half-space is discussed. Through numerical examples, the effects of temperature, incident frequency, contact parameters and depth ratio on the amplitude of surface displacement and the dynamic stress concentration factor around the cavity under the incidence of plane P-waves were analyzed. The result shows that in the unfrozen soil site (T = -0.2°C), the surface displacement is generally larger than that in the low-temperature frozen soil site (T = -15°C). Under frozen conditions, the dynamic stress concentration factor is numerically significantly higher than the corresponding values under unfrozen conditions. The influence of contact parameters on the surface displacement amplitude is not obvious with the low temperature. However, as the contact parameter gradually increases, the variation of the surface displacement amplitude is more sensitive. The dynamic stress concentration factor increases obviously with the increase of contact parameters at low temperature. The surface displacement is gradually reduced with the increase of depth ratio, but the dynamic stress concentration factor cannot be reduced by increasing depth ratio.
  • EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE
  • YANG Yonghao1, FU Tianbao1, WEI Zuoan2, LU Ting3, WANG Yao2
    Journal of Vibration and Shock. 2025, 44(20): 167-176.
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    When the tailings reservoir drainage well is subjected to a strong main shock, the aftershock will further aggravate the damage degree of the drainage well, causing the drainage well to collapse, fracture, and dislocation, resulting in tailings leakage or dam damage. Based on the Xiaoda 'e tailings reservoir project, this study studied the influence of different surface peak acceleration and relative strength ratio of mainshock-aftershock on the damage characteristics, overall damage and incremental damage caused by aftershocks of three kinds of drainage wells : unburied, semi-buried and fully buried. The results show that the damage areas of unburied, semi-buried and fully buried drainage wells are located in the range of 0-5 m, 0-15 m and 0-25 m in the axial direction of drainage wells under the action of single main earthquake and sequence earthquake, respectively. The direction of seismic loading is mainly subjected to tensile shear failure, and the direction perpendicular to the direction of seismic loading is mainly subjected to compressive failure. In the three cases of embedding, the overall damage of the tailings reservoir drainage well caused by the sequential earthquake is highly correlated with the surface peak acceleration of the main shock and the aftershock, but the structural incremental damage caused by the aftershock is highly correlated with the surface peak acceleration of the aftershock and the relative strength ratio u of the main shock-aftershock under different embedding conditions.
  • WANG Tan1, 2, YANG Fan1, ZHOU Zhijie1, LIU Jinling1, YIN Junbo1, WANG Kaiqi1, LI Ning1, ZHANG Wei3
    Journal of Vibration and Shock. 2025, 44(20): 177-185.
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    In order to improve the seismic performance of concrete columns in erosive environments, a hybrid reinforced with built-in spiral stirrup core (HRBS) column is proposed. Quasi-static tests of two HRBS columns, one purely steel-reinforced column and one GFRP-reinforced column without built-in spiral stirrup core column are carried out to investigate the seismic performance of HRBS columns in terms of damage modes, hysteresis curves, skeleton curves, energy dissipation capacity, strength degradation, stiffness degradation, and residual displacements. The results show that the HRBS columns have good overall seismic performance. Under the horizontal cyclic load, the hysteresis curves of HRBS columns are fuller, and the damage types are all bending damage. Compared with purely steel-reinforced columns, the horizontal bearing capacity and ductility coefficient of HRBS column specimens increased by 10.20% and 5.90%, respectively, and the residual displacement was small, which had good overall seismic performance. Compared with the GFRP-reinforced columns without built-in spiral stirrup core columns, the HRBS columns with built-in spiral stirrup core column diameters of 150 mm and 200 mm have enhanced horizontal peak loads by 21.15% and 55.47%, and the coefficients of displacement ductility were increased by 5.51% and decreased by 32.67%. The ductility of this new type of columns can be effectively improved by designing reasonable core column diameters. On the basis of the test, the finite element model of HRBS column is established, and the simulation results are in good agreement with the test results. The results of the finite element parametric analysis show that different concrete strengths, core column diameters, and the number of longitudinal bars in the core column are important parameters affecting the seismic performance of HRBS columns, which can provide a reference for HRBS columns in engineering design and application.
  • LIU Min, LIU Bali
    Journal of Vibration and Shock. 2025, 44(20): 186-198.
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    Energy factor is a key engineering demand parameter in energy-based seismic design. To reveal the variation law of energy factor of structures under earthquake excitation, the damage-based energy factor of the generalized flag-shaped single-degree-of-freedom (SDOF) system was derived and the response spectrum was constructed based on the modified energy balance equation. The results were organized to assess the influence of site conditions, period of vibration, damage index, ultimate ductility coefficient, post-yield stiffness ratio and energy dissipation coefficient on the damage-based γ spectrum of SDOF structures. A prediction equation was proposed to estimate the damage-based γ of the generalized flag-shaped SDOF structures. The differences of the γ based on damage approach and the γ based on ductility approach were compared and analyzed. Results show that the influence of site conditions on the values of damage-based γ is within 10%. And the influence of ultimate ductility coefficient on the values of damage-based γ is more than 50%. In the medium and long period range, compared with the method based on ductility, the estimation of γ spectrum values based on damage method tends to be conservative. The prediction equation for damage-based γ can be used to predict the energy coefficient of self-resetting structures in performance-based seismic design.
  • WANG Nan1, 2, HUANG Bo1, 2, LING Daosheng1, 2, CHEN Yunmin1, 2
    Journal of Vibration and Shock. 2025, 44(20): 199-208.
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    The input of seismic motion at artificially truncated boundaries is a critical aspect of three-dimensional seismic response analysis for sedimentary valley sites. This paper proposes a seismic input method for SV wave spatial incidence in sedimentary valley sites. The method first derived equivalent nodal loads for SV wave spatial incidence on regular boundaries as input, and then used a remote boundary model to calculate the free-field response at irregular boundaries, which serves as the seismic input for the irregular boundary. The proposed method was validated through comparative analyses. The study examines the effects of the SV wave incidence angle, sedimentary cover thickness, site size, and remote boundary conditions on the computational scale of the remote boundary model, and compares the impact of the proposed method with commonly used approximate solutions for seismic input at irregular boundaries in site response analysis. The results show that the required distance to the remote boundary increases with the SV wave incidence angle and the area of the sedimentary valley cover. The computational scale of models using approximate solutions for remote boundary conditions is smaller than those with free or fixed boundaries. The transverse displacement response at the irregular boundary calculated by the proposed method is 1.8 to 2.3 times larger than that from approximate solutions, while the response at the site’s central surface is 1.1 to 1.3 times larger than that obtained from commonly used engineering input methods. Not considering the impact of complex topography on irregular boundary responses leads to underestimation of results, which may pose safety risks.
  • JIANG Yan1, 2, YANG Qiaobo1, LIU Shuoyu1, 2, LUO Beilong1
    Journal of Vibration and Shock. 2025, 44(20): 209-219.
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    Sufficient records of far-field long-period ground motions (LPGM) are crucial for assessing the seismic performance of high-rise buildings within the ground motion potential region. However, due to the stringent conditions required for the generation of LPGMs (e.g., large earthquakes and basin topography), typical LPGM records are extremely scarce. To this end, this study proposes a new method for simulating three-component LPGMs based on the recorded samples of LPGMs, which combines with instantaneous spectral theory, surface wave separation methods, and multivariate variational mode decomposition (MVMD). Specifically, the recorded three-component LPGMs are first decomposed into three surface wave components and one body wave using the particle polarization-based separation method. Subsequently, MVMD is introduced to decompose the separated body wave into a series of intrinsic mode functions (IMFs) with consistent modal attributes. Finally, an improved amplitude-frequency modulation method is utilized to illustrate the instantaneous spectral information of the aforementioned surface wave components and IMFs, and the spectral representation method is employed to achieve the simulation of three-component LPGMs. This method not only effectively captures the polarization characteristics of surface waves, but also accurately reflects the time-frequency characteristics of body waves. Meanwhile, it can generate arbitrary numbers of LPGM samples having almost identical characteristics with those of the recorded samples. Numerical case verifies the effectiveness and superiority of this method. Therefore, this method can effectively address the issue of insufficient LPGM records in practice.
  • ZHANG Yi1, 2, LI Hongnan1, LI Chao1
    Journal of Vibration and Shock. 2025, 44(20): 220-230.
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    This study investigates the seismic performance of reinforced concrete (RC) 3D exterior beam-column joints under various biaxial horizontal loading paths using finite element analysis in ABAQUS. A 3D numerical model was developed to simulate five typical biaxial loading patterns—cruciform, square, rhombic, circular, and clover-shaped—and their performance was compared with uniaxial loading. The study evaluates joint behavior in terms of damage evolution, hysteresis response, peak bearing capacity, and displacement ductility. Results show that biaxial loading significantly weakens seismic performance, with reductions in peak load ranging from 1.03% to 14.80% and ductility coefficients decreasing by 7.15% to 47.76%. Square and circular paths had the most detrimental effects. Additionally, hysteresis curves generally exhibited counterclockwise rotation, reflecting the combined effects of load interaction, structural asymmetry, and shear-induced damage accumulation. The findings suggest that complex biaxial loading paths should be prioritized in seismic evaluations to more realistically capture the joint behavior under actual earthquake conditions.
  • SHOCK AND EXPLOSION
  • YANG Rongzhou1, 2, 3, 4, WANG Linbing2, CHEN Peiyuan1, 2, 3, XU Ying1, 2, 4, CHEN Ziyang2
    Journal of Vibration and Shock. 2025, 44(20): 231-243.
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    The engineering practice shows that the high performance supporting concrete is the necessary structural supporting material for the surrounding rock of the deep tunnel and one of the key factors to promote the stability of the surrounding rock of the deep tunnel. However, the tensile failure of high performance supporting concrete under impact disturbance seriously affects the stability of the surrounding rock of the deep tunnel. For this reason, taking high performance steel fiber reinforced concrete for tunnel as the research object, the dynamic mechanical characteristics and damage fracture mechanism of steel fiber reinforced concrete under SHPB high and low energy impact splitting were deeply explored. The results showed that: (1) The lower impact energy is not enough to completely resist the traction and crack resistance of steel fiber, so that the specimen still shows good impact resistance in the post-peak stage because of the traction and crack resistance of steel fiber after the splitting damage of the matrix. (2) When the impact energy is high enough to completely resist the traction and crack resistance of steel fiber, the specimen will show obvious characteristics of post-peak stress reduction due to the serious damage and fracture caused by excessive impact energy to the matrix. (3) The matrix of the specimen has undergone obvious splitting damage under the action of low energy impact, and then the crack resistance and restraint effect of steel fiber on the matrix of the specimen is enhanced under the action of high energy impact. (4) The splitting stress of the specimen is more sensitive to the splitting damage process of the matrix, and the crack resistance and restraint effect of steel fiber on the matrix is more inclined to enhance the toughness of the specimen. (5) The effect of the increase of impact energy is more likely to cause the increase of strain rate and ultimate strain, which reflects the ductile failure characteristics of the specimen due to the pull-out process of steel fiber after matrix splitting fracture under high energy impact. (6) The crack initiation modes of the specimen changes from "one-end crack initiation" to "two-end crack initiation" under low energy impact, and the damage fracture of the specimen under low energy impact finally tends to be "compression shear spalling at the left and right loading ends + splitting tension cracks at the left and right loading ends spread through". (7) The damage and fracture degree of the specimen under high energy impact is significantly higher than that under low energy impact, and most of the steel fibers are exposed due to the serious fragmentation of the matrix, and serious structural damage occurs to the specimen. The research results can provide some reference for further exploring the evolution characteristics of impact splitting mechanics and damage fracture mechanism for high performance supporting concrete. 
  • YANG Lihui1, YANG Zhen1, GONG Erkang1, WANG Biao2
    Journal of Vibration and Shock. 2025, 44(20): 244-255.
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    In order to study the dynamic response of glass fiber reinforced plastic (GFRP) and concrete composite beams under impact loading, continuous impact tests were carried out on a pure GFRP I-beam and three GFRP-concrete composite beams with different structural designs using a rocker arm drop hammer impact test device. Through the test, the mid-span displacement, impact force and strain time-history curves of the test beam under different working conditions, as well as the crack development of the composite beam during the impact process, and the evolution process of the beam damage is deeply discussed. The research results reveal that pure GFRP beams have the least damage under impact loads, but their overall rigidity is smaller than that of composite beams with concrete layers, resulting in significant deformation of the beam body under the same impact load; The addition of concrete will improve the overall rigidity of the beam and also reduce the deformation response of the composite beam when subjected to impact. A cumulative impact model of GFRP-concrete composite beams was established using LS-DYNA, and the effects of impact hammer mass, impact speed and section height ratio on the dynamic response of the composite beams were analyzed.
  • CHEN Hui1, 2, 3, ZHAI Huijie1, ZHANG Lei4, L Jinxing1, FENG Feiyang1
    Journal of Vibration and Shock. 2025, 44(20): 256-268.
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    To reduce the rejection rate of the electronic detonator in the blasting, the influence of the impact load generated during the blasting process on the electronic detonator chip was studied. Then the influence on the detonation of the electronic detonator was studied. The pre-test of underwater blasting impact and ANSYS-LS/DYNA numerical simulation was carried out to qualitatively and quantitatively study the damage of electronic detonators under different blasting strengths, distances from the source, and blasting methods, and then it was proposed that inter-ring delay initiation can reduce the damage of electronic detonator chips. The results show that: (1) The higher the amount of RDX of the detonator source, the lower the detection current of the electronic detonator chip, and the greater the degree of damage; (2) The farther away from the explosion source, the less the CDI capacitor loses charge, and increasing the impact distance can effectively reduce the damage of the impact stress generated by the blasting to the electronic detonator chip; (3) By analyzing the damage mechanism of the chip and using the multiple linear regression analysis method, the regression model of the damage degree of the chip and the energy and distance of the explosion source is constructed; (4) The interring delay of 4 ms has the best detonation effect, which can effectively reduce the damage degree of the electronic detonator and reduce the rejection rate. The in-depth analysis of the damage of electronic detonators in the blasting process is helpful to improve the safety of blasting engineering and improve the blasting efficiency in China.
  • VIBRATION AND MECHANICS SCIENCE
  • HE Junxu, LI Wengheng, CAO Zheng, XU Ganghui, ZHU Changsheng
    Journal of Vibration and Shock. 2025, 44(20): 269-280.
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    Active magnetic bearing rotor system has significant advantages in high-speed and high-power application scenarios, but it is inevitable that the rotor will generate unbalanced force by its own unbalanced mass during the rotation process, which will stimulate the unbalanced vibration signal. The vibration signal has the characteristics of periodic repetition with the same frequency as the speed. However, the current mainstream control algorithm either relies too much on the accuracy of the rotor model, or does not have the learning ability to effectively control the problem with repetitive characteristics, or the control target is single and cannot take into account multiple targets at the same time. Therefore, a multi-objective model free adaptive controller based on iterative learning control algorithm is designed. The controller does not need the precise model parameters of the rotor, and has the ability of learning and memory. The control sequence is updated iteratively only according to the input displacement signal and speed signal. With the increase of iteration times, the output control signal sequence will be continuously optimized and quickly approach the optimal. The controller has three control objectives: displacement, current and transfer force. Different control objectives can be smoothly switched through two-level distribution parameters. A multi-objective control strategy based on adaptive speed regulation control objective is designed for variable speed process. The simulation and experimental results show that the controller is effective under constant speed and variable speed conditions, and can operate stably in a large speed range.
  • JIA Shuo, JIA Chenhui, LU Yanhui
    Journal of Vibration and Shock. 2025, 44(20): 281-294.
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    Firstly, in the Cartesian coordinate system, the Reynolds equation and the velocity control equation considering the inertial force of the gas are derived, and a 4-DOF mathematical model of aerostatic journal bearing is established. Secondly, the finite difference method is used to solve the fluid control equation, and the pressure and velocity distribution characteristics of the gas in the gas film under steady state are obtained. On this basis, the influence of bearing parameters on inertial force error is quantitatively studied by single-factor analysis. The results show that the average clearance, diameter, and air supply pressure have a great influence on inertial force error, while the influence of rotational speed, eccentric ratio, and deflection angle is relatively small. Finally, in the multi-factor analysis, the sample regression equation of the relative error of the inertial force is obtained by the method of multiple regression analysis, and the estimated value is compared with the numerical calculation results to verify the validity of the regression equation.
  • TRANSPORTATION SCIENCE
  • SHU Yao1, 2, 3, PENG Yeye3, ZHAO Chunfa3, SONG Xinyue3, FENG Yang3
    Journal of Vibration and Shock. 2025, 44(20): 295-304.
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    In the long-stator maglev transportation system, the steel switch girder is a critical weak point of the track, where severe vehicle-switch girder coupled vibrations frequently occur. Addressing this issue is essential for the successful engineering application of maglev transportation. This study develops a coupled dynamic model of a medium-speed long-stator maglev train and the switch girder. The simulation analysis is then performed to investigate the vehicle-switch girder coupled vibration characteristics at speeds ranging from 15 to 200 km/h. Furthermore, the influence of levitation control parameters on coupled vibrations is examined to reduce the coupling vibration. The results indicate that the dynamic responses of the coupling system increase with speed, reaching their maximum at 200 km/h. At this speed, the vertical acceleration amplitude of the carbody is 1.41 m/s², and the levitation gap fluctuation is 1.69 mm. The maximum vertical displacement and acceleration at the switch girder' are 3.09 mm and 18.43 m/s² at midspan, respectively. Both vertical and lateral ride quality index of maglev train are "excellent" across all speeds. The system's dynamic response increases significantly with larger levitation gap feedback coefficients and levitation gap velocity feedback coefficients, while ride quality of maglev train is only minimally affected. To reduce the dynamic responses of coupling system, smaller control parameters (the suggested values of levitation gap feedback coefficients and levitation gap velocity feedback coefficients are 4000~6000 and 30~50) should be selected.
  • KANG Xi1, LIU Ruihan1, WU Qi1, ZHAO Yang1, CUI Xiaolu2, CHEN Xiang1, GONG Weirong1, LU Sheng1
    Journal of Vibration and Shock. 2025, 44(20): 305-312.
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    In order to study the influence of harmonic vibrations excited by wheel eccentricity on wheel tread polygonal wear of high-speed EMUs, firstly, based on the dynamics simulation of vehicle-track system and the finite element simulation of wheel-rail system, wheel-rail normal contact forces under the different degrees of eccentric excitation were simulated. The main frequencies of these forces were calculated by Fourier transform, and the fundamental and harmonic vibrations excited by wheel eccentricity and by sleeper discrete support were analyzed. Secondly, the fluctuation components of the wheel-rail normal contact force under the common/separate action of vibrations excited by wheel eccentricity and by sleeper discrete support were fitted. Then, the cause and phase characteristics of harmonic vibrations excited by wheel eccentricity were studied, and the influence of these vibrations on wheel polygonal wear was analyzed. The results show that when the EMU runs at 237 km/h, the wheel-rail normal contact force fluctuation caused by the coupling excitation of the wheel residual static unbalance and wheel eccentric wear fails to attenuate in time, resulting in 2nd~28th order harmonic vibrations with the frequency integer multiple of the wheel rotational frequency. When the wheel eccentric wear value increases from 0.075 mm to 0.3 mm, the maximum relative deviation rates of the fundamental vibration, the 2nd and 3rd order harmonic vibration phases are 0.169%, 0.745% and 0.286%, respectively. This indicates the phases of vibrations excited by wheel eccentricity are basically fixed relative to the wheel eccentric direction. Moreover, the wheel circumference is an integer multiple of the wavelengths of these vibrations, which leads to the continuous accumulation of wheel uneven wear caused by them, resulting in the rapid formation of wheel polygonalization with the corresponding order.
  • FAULT DIAGNOSIS ANALYSIS
  • WANG Xiaojuan1, ZHANG Ningning1, ZHOU Hongyuan1, 2, WANG Lihui1, ZHANG Jian3
    Journal of Vibration and Shock. 2025, 44(20): 313-327.
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    Owing to its advantages in bypassing ambient excitation measurements and its superior noise robustness, the structural damage detection method utilizing cross-correlation functions has attracted increasing attention. Compared to overall structural damage detection, substructure damage detection approach could significantly reduce the number of parameters needed to be identified and the sensor required, thereby improving both the accuracy and efficiency of damage detection. Tailored to different substructural boundary conditions, two corresponding substructure damage detection methods based on cross-correlation functions were proposed in the present study. In the first method, substructure boundary excitations were obtained using the measured boundary accelerations, facilitating the direct substructure damage detection via its internal acceleration cross-correlation functions. In the second method, the excitation constant matrix and substructural damage were simultaneously identified based on acceleration cross-correlation functions. Numerical simulation and experimental investigation demonstrated that both proposed methods could accurately identify substructure damage while exhibiting excellent noise robustness.
  • LI Yaohua1, 2, ZHANG Yu1, YANG Tongjiang2, SHI Ruibo1
    Journal of Vibration and Shock. 2025, 44(20): 328-337.
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    Aiming at the problem of low prediction accuracy caused by the nonlinearity and non-stationarity of signals when traditional neural networks process the vibration signals of rolling bearings, a rolling bearing residual life prediction method based on MRF_GCN-Transformer is proposed, which combines Multireceptive Field Graph Convolutional Networks (MRF-GCN) and Transformer networks for feature extraction and life prediction of the bearing vibration signals. Convolutional Networks (MRF-GCN) and Transformer network for feature extraction and life prediction of bearing vibration signals. Compared with the traditional GCN, which ignores the importance difference of neighbour nodes and adopts a fixed receptive field, the MRF-GCN method effectively captures the multi-scale information in the graph structure by introducing multiple receptive fields, and optimises the model to capture the complex relationships through the learnable weighting parameters. Meanwhile, a graph attention mechanism based on the adjacency matrix to adjust the attention score is proposed, which can automatically construct the time and feature-related graph structure and adaptively learn the connection weights during the training process, so as to optimize the model's capture of complex relationships and improve the prediction accuracy. The experimental results show that the model performs well in prediction on the PHM2012 public dataset with high accuracy and robustness. Compared with CNN-Transformer, Transformer-BiLSTM, and other baseline models, the mean absolute error (MAE) and root mean square error (RMSE) are reduced by 12.7% and 37.39% on average, respectively, while the coefficient of determination (R²) is improved by 5.90%.
  • WU Baijian, YU Gang
    Journal of Vibration and Shock. 2025, 44(20): 338-347.
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    To addresses the limitations of existing models in extracting multi-band modal characteristics for local fault diagnosis in rotating machinery and proposes a transient extraction transform-based multi-band modal characteristics inverted residual network diagnostic method. The method first utilizes the transient extraction transform to accurately locate the impact moments of local faults, providing the model iteration with time-frequency maps of higher time-frequency resolution. Next, convolution kernels with large receptive fields and different initialization weights are designed to adapt to the distribution of multi-band modal characteristics in the time-frequency map. By combining a sliding strategy in the frequency dimension, each convolution kernel's filtering operation captures the features of a specific frequency band in its entirety. After merging the extracted features, fine-grained feature extraction is performed through the inverted residual block, followed by random dropout, flattening, and classification via fully connected layers. Extensive comparative experiments demonstrate that the proposed method significantly improves the performance of local fault diagnosis in rotating machinery, providing an innovative theoretical basis and technical solution for this field.
  • CHEN Zhigang1, 2, TAO Zichun1, WANG Yanxue1, WEI Zishu1
    Journal of Vibration and Shock. 2025, 44(20): 348-358.
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    In order to solve the problems faced by the existing intelligent fault diagnosis models in processing multi-channel signals, such as insufficient generalization ability, relying on artificial feature design and weak cross-channel correlation modeling, this paper proposed an end-to-end multi-channel signal adaptive diagnosis model based on TCN-Transformer. Through the cascade architecture of Time Convolutional Network (TCN) and Transformer, the model constructed a collaborative learning mechanism of local feature extraction and global dependency modeling: the TCN module used causal convolution to capture the local time-frequency mode of signals layer by layer, and its residual connection designed effectively alleviates the information attenuation of the deep network. In the feature recombination stage, the Unidirectional Patch (UDP) sequential marking method was proposed to cut the multi-channel timing signal into a high-dimensional fragment sequence with position coding, which avoided the boundary distortion problem of the traditional block strategy. In the Transformer coding layer, the channel attention mechanism and multi-head self-attention were innovatively integrated to form a hybrid attention module. This module simultaneously captures channel-wise features and positional relationships, thereby enhancing complementary representations among different sensor signals. Experiments show that the model achieves 98% recognition accuracy in the multi-sensor diagnostic task of planetary gearbox.