28 October 2026, Volume 45 Issue 20
    

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    VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH
  • LU Wei1, CHEN Jinhe1, QI Xin1, LU Zhixiong2, HU Weihua1, TENG Jun1
    Journal of Vibration and Shock. 2026, 45(20): 1-8.
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    Due to the stringent requirements of high-precision instruments and micro/nano-fabrication equipment for micro-vibration environments, particularly in high-rise industrial buildings and precision laboratories, different precision instruments exhibit varying sensitivities and allowable micro-vibration limits across different frequency bands.Under the combined action of multiple vibration sources, uncertainties in phase differences, amplitudes, and other factors lead to complex and variable structural micro-vibration responses.Therefore, revealing and characterizing the frequency-band-dependent superposition characteristics of structural vibration responses under multiple vibration sources remains a key challenge in the prediction and assessment of micro-vibration environments for precision instruments.A frequency-band prediction method for superposed micro-vibration responses in multi-source vibration environments for precision instruments was proposed in this study.By characterizing structural vibration responses in the frequency domain, the expression of the total response power spectral density under multiple vibration sources was established.Under frequency-band overlap conditions, the upper and lower envelope values of the multi-source response power spectral density were constructed and further converted, through band integration, into envelope intervals of the response root-mean-square values within individual frequency bands, thereby realizing frequency-band prediction of superposed micro-vibration responses.A high-rise industrial building was adopted as an engineering case study, through field measurements of vibration sources and comparative analysis of micro-vibration responses, it was found that the proposed methodcan effectively predict the variation range of multi-source superposed responses and identify the sensitive frequency bands of micro-vibration.
  • ZOU Lin1, CAI Wenjun1, MIAO Yabo1, LIU Zhiwei2, ZHANG Shengpeng1
    Journal of Vibration and Shock. 2026, 45(20): 9-18.
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    To mitigate the negative impact on aerodynamic performance caused by boundary layer flow separation at high angles of attack in airfoil, the article employs plasma excitation as a flow control method for the NACA0012 airfoil at Re=1.6×105.Utilizing a deep reinforcement learning algorithm, real-time adaptive closed-loop control of excitation jets on the airfoil surface was achieved based on feedback flow information from the flow field.This was applied to control flow separation at the trailing edge of static and pitching airfoil.The computational results indicate that both discrete and continuous action agents can explore effective strategies for controlling flow separation through several interactions with the flow field.The size of the action penalty parameter in the reward function affects the agent’s trade-off between pursuing the objective and avoiding penalties.Reward functions with different target values can guide agents to achieve precise control of the trailing edge separation state, maintaining control errors below 6% within a certain range.For controlling trailing edge flow separation of pitching airfoil, the penalty-free agent achieves up to 92% lift gain by continuously exciting during high angle of attack stages, delaying the development of the trailing edge negative pressure zone and eliminating subsequent negative pressure zones.The penalized agent applies excitation during the downstream movement of the negative pressure zone, conducing to weaken the negative pressure peak and promote early flow reattachment.In generalization tests, agents exhibit better control effects on airfoil with increased pitching frequencies.
  • LI Weiyu1, 2, MA Xueqing1, 2, CHEN Hongxing3, TANG Xi1, 2, LIU Lei4
    Journal of Vibration and Shock. 2026, 45(20): 19-34.
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    To investigate the mechanical properties and damage evolution mechanism of deep engineering rock masses under the coupled effects of high in-situ stress, alkaline corrosion, and dynamic disturbance, experimental research was conducted on the mechanical response of alkali-corroded sandstone under combined dynamic-static loading using a split Hopkinson pressure bar (SHPB).Combined with low-field nuclear magnetic resonance (NMR) technology, the dynamic mechanical properties, energy dissipation characteristics, pore structure evolution, and damage mechanisms of sandstone under different degrees of alkali corrosion and confining pressures were systematically analyzed.The results show that the dynamic mechanical properties of sandstone are jointly affected by alkali corrosion and confining pressure.Alkaline corrosion deteriorates the dynamic mechanical properties of sandstone, and the peak strength and dissipated energy of sandstone in a strongly alkaline environment are significantly lower than those in a neutral environment.Confining pressure strengthens the dynamic mechanical properties of alkali-corroded sandstone, and both peak strength and dissipated energy increase with increasing confining pressure.NMR tests show that an alkaline environment promotes the transformation of micropores into mesopores and macropores, with the largest increase in the proportion of macropores occurring at pH=13, while confining pressure inhibits pore expansion through mechanical compression.The magnetic resonance imaging results indicate that damage evolution exhibits a critical-point effect: pore and crack development is more active at pH=11, whereas the magnetic resonance imaging signal in deeper layers decreases at pH=13, indicating a tendency toward local instability during damage evolution.The research results can provide a theoretical reference for the stability evaluation and impact-resistant design of deep engineering rock masses in alkaline environments.
  • QIN Tao1, ZHANG Yuan1, DUAN Yanwei1, LIU Gang1, SONG Yue1, WANG Baochen2, YANG Minqiang1
    Journal of Vibration and Shock. 2026, 45(20): 35-44.
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    To investigate the effect of specimen geometric dimensions on the dynamic tensile properties and failure mechanism of rocks, this study conducted dynamic Brazilian splitting tests on sandstone specimens with height-to-diameter ratios ranging from 0.5 to 1.0 using a Split Hopkinson Pressure Bar (SHPB) test system. The laws of dynamic tensile mechanical properties, energy dissipation characteristics and failure modes of sandstone with different height-to-diameter ratios were analyzed.The test results show that under an impact air pressure of 0.3 MPa, the dynamic mechanical response of sandstone exhibits a significant size effect: as the specimen height-to-diameter ratio increases from 0.5 to 1.0, the dynamic peak tensile strain increases from 0.652% to 1.443%, while the dynamic tensile strength decreases from 6.909 MPa to 4.507 MPa. With the increase of height-to-diameter ratio, the energy dissipation rate decreases linearly from 49.4% to 22.0%, and the dissipated energy per unit volume also decreases linearly from 314.762×10-3 J/cm3 to 69.238×10-3 J/cm3.When the height-to-diameter ratio is less than 0.9, the specimens mainly undergo tensile-shear mixed failure characterized by the interweaving of central main cracks and end wedge-shaped shear zones, accompanied by a large number of Type II and Type III fragments. When the height-to-diameter ratio is greater than or equal to 0.9, the specimens exhibit a single tensile failure mode with central crack initiation.Based on the above findings, the dynamic splitting failure mechanism of sandstone under different height-to-diameter ratios is revealed. For specimens with height-to-diameter ratio < 0.9, the shear stress at the loading end propagates toward the center and produces a superposition effect with the tensile stress. Energy is mainly dissipated in the end shear failure, leading to tensile-shear composite failure. For specimens with height-to-diameter ratio ≥ 0.9, the shear stress concentrates at the ends, and energy is mainly dissipated in the central tensile failure. A stress field dominated by central tension is formed, resulting in single tensile failure.This study can provide a theoretical basis for the dynamic disaster mechanism of deep engineering and the safety protection design of surrounding rocks.
  • DU Nan1, WANG Zun2, JIANG Kaihua2, ZHAO Yalong2, LOU Wenjuan1
    Journal of Vibration and Shock. 2026, 45(20): 45-53.
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    To clarify the effects of non-stationary and non-Gaussian wind fields on the wind-induced swing response of transmission conductors during severe convective weather, a coupled finite element model of conductors, jumpers, and suspension insulator strings was developed based on a wind-induced swing flashover event on a 500 kV transmission line in Zhejiang Province. Typical non-Gaussian wind fields and downburst-like non-stationary wind fields were generated using the Vicroy time-varying mean wind model, evolutionary spectral theory, and the Hermite transformation. Time-domain finite element analyses were then performed, and the response characteristics were examined in terms of frequency-domain energy distribution. The results show that, in the investigated strongly non-Gaussian case with a skewness of 1.0 and a kurtosis of 7.0, non-Gaussianity increases the maximum swing angle by only 2.3%. By contrast, non-stationarity is found to be the dominant factor in response amplification, increasing the maximum swing angle by 20.5%. The rapid increase in the time-varying mean wind speed and the time-varying fluctuation of turbulent-wind variance jointly amplify the low-frequency background response of the conductor. These findings provide a reference for  wind-resistant design and wind-induced swing assessment of transmission conductors under non-stationary wind fields.
  • WANG Jingyan1, 2, XIANG Hongjun1, 2
    Journal of Vibration and Shock. 2026, 45(20): 54-63.
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    To investigate the response dispersion caused by aerodynamic-parameter uncertainty in flutter-based piezoelectric energy harvesters (FPEHs) under turbulent effects, an equivalent stochastic-parameter framework based on the probability density evolution method (PDEM) is proposed. A two-degree-of-freedom piezoelectric flutter model with electromechanical coupling and unsteady aerodynamic forces is established. Turbulent effects are represented as stochastic variations in the coefficients of the Sears function, from which the probability density evolution equation of transient output power is derived. Comparisons with the Monte Carlo simulation (MCS) show that the PDEM maintains good accuracy while reducing computation time by up to 84.2%, and the predicted confidence intervals and probability distributions agree well with those of the MCS. Parametric analyses are further conducted on the influence weight, coefficient of variation, and probability density distribution of aerodynamic coefficients. The results confirm that the PDEM is an efficient and reliable tool for describing aerodynamic-parameter uncertainty propagation in FPEHs and provides support for reliability design and parameter optimization under turbulent effects.
  • ZHU Ge, LIU Bo, BU Xiaoyu, ZHOU Wenjun, XU Yongkang, WANG Xuanjun
    Journal of Vibration and Shock. 2026, 45(20): 64-76.
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    To address the difficulties that the multiscale spatiotemporal structures in nozzle cavitating flow are highly coupled, existing modal decomposition methods are unable to achieve effective decoupling, and image-based flow-field identification lacks independent dynamic cross-validation, a synchronous in situ measurement system was established and comparative experiments were conducted on three different nozzles. A probability-field-based component decomposition method was proposed to achieve pixel-level soft separation of three coupled spatiotemporal structures. In combination with azimuthal Fourier decomposition and m-decomposed spectral proper orthogonal decomposition, a frequency–mode joint analysis method was further developed. The results show that, under all three nozzle conditions, the classification clarity of flow-structure decomposition exceeded 90%, and the energy leakage from the wave component to the collapse-event component was lower than 1%. As the nozzle divergence angle increased, the energy fraction of the axisymmetric mode (m=0) increased from 4.84% to 11.71%, whereas that of the first-order non-axisymmetric mode (m=1) decreased from 45.25% to 13.47%. Meanwhile, the impact intensity and periodicity of the wall-pressure signal increased, and the energy distribution became more concentrated in the low-frequency range. The results confirm that the nozzle divergent geometry can simultaneously regulate the modal structure of cavitating flow and the wall-pressure pulsation characteristics, providing support for nozzle optimal design and impact-characteristic control. 
  • WANG Xiuhao1, LU Chengji2, YANG Ronggang1, 2, 3, CHEN Leiqing1, WEI Tianci1, XIANG Jiawei1, 2, 3
    Journal of Vibration and Shock. 2026, 45(20): 77-87.
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    Tooth surface wear is an important factor affecting the dynamics of harmonic drive. Studying the influence of tooth surface wear on the system dynamic characteristics is beneficial to optimizing the design of the transmission system and improving the reliability of the transmission system. The nonlinear dynamic model of harmonic drive system is established using the concentrated mass method. The wear amount of the flexspline teeth is calculated using the Archard wear model. The nonlinear coupling dynamic equation of the wear-damaged harmonic drive system is derived using the Lagrange equation. The effect of the degree of wear on the vibration response of the system and the effect of different loads on the dynamic characteristics of the system under wear damage are analyzed. The results show that as the degree of tooth wear increases, the amplitude of the system vibration response increases; under the same running time, the greater the load, the system develops from a multi-periodic motion state to a quasi- periodic motion state, and then to a chaotic motion state.
  • WU Yuxiang, TANG Yi, LIU Dantong, XUE Yuan
    Journal of Vibration and Shock. 2026, 45(20): 88-97.
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    To study the wind load and wind-induced vibration response of flexible photovoltaic (PV) arrays, a seven-row single-span double-cable PV array was taken as the research object. Wind tunnel tests of rigid model pressure measurement were carried out to investigate the wind force coefficients and torque coefficients of the structure under different wind attack angles (0°–350°). The wind pressure time histories obtained from the pressure measurement tests were imported into the finite element model to calculate the vertical displacement and torsion angle responses of the structure, and the effects of different numbers and arrangement methods of longitudinal connections on the wind-induced vibration response of the structure were analyzed. The results show that: under head-on incoming flow, the normal wind force is the most unfavorable, and the correlation coefficient between wind force and torque is small; under oblique incoming flow, the torque is the most unfavorable, and the correlation coefficient between wind force and torque is large. The directions of vertical displacement are opposite under windward and leeward incoming flows, but the directions of torsion angle are the same. On the whole, the wind-induced vibration response at the mid-span position is greater than that at the edge position, and the wind-induced vibration response of the first row is greater than that of the subsequent rows. The wind-induced vibration response under windward incoming flow is more unfavorable than that under leeward incoming flow, but the downstream adverse interference effect caused by leeward incoming flow is more significant. The maximum wind vibration coefficient appears in the second windward row. Based on the comprehensive wind load and wind-induced vibration response, the structure is divided into a wind-induced response control area, a local wind pressure control area, and a wind effect transition area. A longitudinal connection arrangement method considering both safety and economic benefits is proposed, which provides a reference for the wind-resistant design of the structure.
  • BAI Xu, YANG Zhenbang, LU Chenyang, LI Jingling
    Journal of Vibration and Shock. 2026, 45(20): 98-108.
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    Research on vortex-induced vibration for aquatic clean energy (VIVACE) devices operating in low-velocity ocean currents can significantly expand the feasible deployment range of ocean current energy. Compared to the original VIVACE system, the maglev-supported configuration offers distinct advantages, including a longer service life and broader operational adaptability. However, there remains a lack of research on the optimization of oscillator cross-sectional geometry for this novel system. Considering the high sensitivity of vortex-induced vibration (VIV) to cross-sectional shapes, a magnetic force calculation model and a magnetic-fluid-solid fully coupled simulation model were established in this study. Multiple cross-sections were systematically evaluated in terms of amplitude-frequency response, vortex pattern evolution, and energy capture efficiency. This enabled a comprehensive numerical comparison of how cross-sectional geometry influences the VIV performance and power generation of the maglev-supported oscillator. The results demonstrate that: (1) The cross-sectional shape significantly influences the wake vortex structure. Specifically, triangular and diamond sections enhance flow shear and vortex shedding, thereby increasing vibration amplitude and energy capture efficiency. (2) The spatial extent of the vortex action region is positively correlated with the vibration amplitude. (3) Pentagonal sections are prone to inducing vibration instability in the maglev system, which subsequently reduces energy capture performance. This study proposes a cross-sectional selection strategy tailored for low-velocity maglev VIVACE devices, providing a valuable reference for the structural optimization of oscillators and the engineering application of ocean current energy generation systems.
  • ZHOU Yu1, ZHANG Lujie1, HONG Rongjing1, 2
    Journal of Vibration and Shock. 2026, 45(20): 109-117.
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    Acoustic emission (AE) signals in gear grinding are easily affected by machining noise, reducing diagnostic accuracy. A denoising method based on BBO-optimized VMD combined with wavelet thresholding was proposed. Minimum permutation entropy was used as the fitness function. The number of VMD modes and penalty factor were adaptively optimized using BBO. The noisy signal was decomposed by VMD. Intrinsic mode function components with high permutation entropy were removed based on N = 0.35K. The remaining components were processed using wavelet thresholding for secondary denoising and signal reconstruction. Simulation and measured AE signals from grinding processes were used for validation. The proposed method was compared with empirical mode decomposition-wavelet, wavelet-only, and VMD-wavelet methods.The results show that the proposed method effectively suppresses noise while preserving intrinsic signal features, providing a reliable reference for AE signal denoising in grinding and demonstrating strong engineering application potential.
  • YANG Chao1, YANG Kaiwei1, BAO Shiyuan1, LI Hui2, YAO Ran2, TAN Hongtao3
    Journal of Vibration and Shock. 2026, 45(20): 118-127.
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    Addressing the issue that Virtual Synchronous Generator (VSG) control tends to excite shaft torsional vibration in the doubly-fed induction generator (DFIG), this study investigates the shaft torsional vibration characteristics of the VSG-DFIG from the perspective of electrical damping. Firstly, the complex torque coefficient method is introduced to analyze the shaft torsional vibration of the DFIG based on the state space model of the shaft system. Secondly, a small-signal model is established that incorporates power transmission, VSG control, and speed control, considering the key electromechanical time-scale dynamics of the DFIG. Then, based on deriving the transfer function from the DFIG rotor speed to the electromagnetic torque and constructing the electrical damping expression for the VSG-DFIG shaft system, the influence paths of key dynamic loops on the DFIG's electromagnetic torque under VSG control are clarified. Furthermore, the impact of key parameters, including VSG control parameters, speed control parameters, line parameters, and the steady-state operating point, on the DFIG shaft torsional vibration is analyzed. Theoretical and simulation results demonstrate that within the typical control parameter range, the electromagnetic torque provides negative damping to the VSG-DFIG shaft system, with different parameters exerting varying degrees of influence on the shaft electrical damping.
  • REN Lihai1, LIU Yeheng1, XU Hailan2, JIANG Chengyue1, BI Wengwu3
    Journal of Vibration and Shock. 2026, 45(20): 128-142.
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    To address the limited biofidelity of the THOR dummy under low-g braking conditions, this study proposes an out-of-position (OOP) compensation method via initial posture adjustment. Based on the MADYMO platform, this study establishes a restraint system simulation model for the Active Human Model (AHM) and the THOR dummy and validates its effectiveness. Subsequently, restraint system parameters were transferred to LS-DYNA to construct a rigid-seat THOR dummy model. Through systematic simulations across various initial postures, the kinematic response patterns of the dummy were analyzed, and a posture-OOP correlation function was established. Cross-platform data verified the generality of the pattern and the transferability of the function. By targeting the AHM OOP data as the compensation objective for the dummy, the feasibility of the proposed braking out-of-position compensation method was validated. Results show that the lumbar angle is a key parameter influencing the THOR dummy’s OOP response: increasing it from 0° to 9° caused a sharp rise in OOP measurement. Based on this pattern, the correlation function accurately predicts OOP measurements under different postures using limited transferred data. Accordingly, a posture-based OOP compensation method is proposed, demonstrating that quantitatively adjusting the dummy’s initial posture can reproduce target OOP levels. This offers a flexible, low-cost solution for replicating occupant OOP scenarios in integrated active-passive safety evaluations.
  • SHOCK
  • XIE Wenhan, WU Panlong, LIU Zongkai, HE Shan, WU Yizhen
    Journal of Vibration and Shock. 2026, 45(20): 143-154.
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    To address the effects of road spectrum excitation and recoil impact on the stability of the servo system of a Self-Propelled Anti-Aircraft Gun (SPAAG) during marching fire, a rigid‑flexible coupled dynamics‑control model of the SPAAG is established in Simulink/RecurDyn using the Newton‑Euler method, and an Adaptive Filtering Disturbance Rejection Non‑singular Fast Terminal Sliding Mode Control (AFDRNFTSMC) method is proposed. A Linear Extended State Observer (LESO) is introduced into the non‑singular fast terminal sliding mode control framework to observe the total system disturbance in real time. To avoid servo chattering caused by direct compensation of the noise‑containing observed disturbance into the control input, an Unscented Kalman Filter (UKF) is employed to perform optimal estimation of the observed disturbance based on the system state‑space model, separating high‑frequency noise, and the noise covariance matrices are adaptively adjusted online with disturbance intensity for dynamic balance between estimation accuracy and response speed. To address the issue that the UKF responds slowly to real dynamic changes under conditions of high model reliance, a lag compensator based on a Bidirectional Long Short‑Term Memory (Bi‑LSTM) network is designed. Finally, the estimated or predicted disturbance is compensated into the control variable according to the operating condition. Co‑simulation results demonstrate that, compared with typical conventional methods for gun servo systems, the proposed method reduces the three main error metrics by 40%–85%, significantly improves robustness against road excitation and recoil impact, and reduces servo chattering induced by high‑frequency disturbance compensation signals.
  • TRANSPORTATION SCIENCE
  • KOU Farong1, 2, FENG Xuexue1, YANG Fan1, WU Maoyu1, ZHANGSUN Mengjiao1, SUN Longkai1
    Journal of Vibration and Shock. 2026, 45(20): 155-162.
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    The integration of in-wheel motor drive systems introduces uncertain disturbances and strong coupling between unbalanced electromagnetic force and vehicle vertical vibration. To address this, a robust model predictive control (RMPC) strategy for an in-wheel motor-suspended active suspension was proposed. A quarter-vehicle model integrating a permanent magnet synchronous motor and the active suspension was established to analyze the impact of unbalanced electromagnetic force. Based on the prediction of parameter and disturbance perturbation boundaries, a robust objective function with constraints was optimized via quadratic programming to ensure control robustness under all disturbance conditions. The simulation results show that, compared to passive suspension and traditional MPC, the proposed RMPC strategy effectively attenuates the transmission of unbalanced electromagnetic force and suppresses electromechanical coupling vibration under multi-parameter perturbations. It also reduces the vehicle body acceleration and suspension dynamic deflection while maintaining the tire dynamic load within a safe threshold, thereby improving ride comfort.
  • GUO Tao1, 2, CHEN Bingzhi1, WANG Hongtu2, LU Xuxin2
    Journal of Vibration and Shock. 2026, 45(20): 163-172.
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    Hunting instability is a critical dynamic phenomenon that threatens the operational safety of high-speed trains. This study addresses the complex vibration response of the traction motor under hunting conditions and its coupling with the bogie hunting  mode. Focusing on an electric multiple unit (EMU) with an elastically suspended motor, a lateral dynamics model of the bogie incorporating the motor is first established. The influence of operating speed, equivalent conicity, and motor suspension stiffness/damping on the damping characteristics of the hunting mode is analyzed using eigenvalue and root locus methods. By integrating linear stability analysis with multi-body dynamics simulations of the complete vehicle, the vibration characteristics of the motor and their sensitivity to suspension parameters are systematically investigated. The results indicate that an increase in equivalent conicity significantly compromises hunting stability. When the equivalent conicity rises from 0.1 to 0.4, the maximum linear critical speed decreases from approximately 350 km/h to about 160 km/h. Primary hunting is dominated by low-frequency oscillations, with the main peak of the carbody lateral acceleration around 1.7 Hz, and a local peak for the motor appears near 12 Hz. The main energy of secondary hunting is concentrated in the 6–9 Hz frequency band, with peaks for the motor observed near 4 Hz and 13 Hz. Under secondary hunting conditions, when the motor suspension stiffness increases from 0.2 MN/m to 0.4 MN/m, the RMS values of the lateral acceleration for the bogie frame and gearbox are overall insensitive to the stiffness change. In contrast, the RMS values of the motor's lateral acceleration and lateral displacement increase significantly with the increase in stiffness. This research can provide guidance for the design and maintenance of high-speed EMUs. 
  • CIVIL ENGINEERING
  • YANG Xu1, 2, YANG Han1, 2, MA Cunming1, 2, ZHENG Shixiong1, 2PEI Cheng3
    Journal of Vibration and Shock. 2026, 45(20): 173-179.
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    Π-shaped composite girders, characterized by a bluff aerodynamic profile and a bottom opening, are prone to vortex-induced vibration (VIV) under service wind conditions. A Π-shaped composite girder equipped with a wind fairing was investigated through 1:35 section model wind tunnel tests combined with numerical simulations, with emphasis on vertical VIV characteristics and mitigation measures. The results show that, at a damping ratio of 0.55%, two vertical lock-in regions occur at angles of attack (AoA) of 0° and ±3°. The first region exhibits significantly larger amplitudes than the second, while the peak amplitude was insensitive to AoA within ±3°. Flow-field analysis suggests that a large-scale vortex near the bottom opening governs periodic shedding near the trailing edge, which strengthens the fluctuating lift and sustains a pronounced vertical VIV response. Four aerodynamic mitigation measures were evaluated, including a horizontal wing plate, a horizontal splitter plate, a lower central stabilizer, and vortex generators, all of which eliminated the second region response. Whereas the wing plate and splitter plate provided relatively limited vibration reduction, the lower central stabilizer showed more robust performance, eliminating VIV at +3° AoA and reducing the amplitude by more than 60% at 0° and −3° AoA. With a denser longitudinal arrangement, the vortex generators eliminated the VIV response at 0° AoA and reduced the amplitude by approximately 75% at ±3° AoA. The findings provide practical guidance for aerodynamic optimization and wind-resistant design of similar bluff open-section girders.
  • CHEN Kai, LI Kai, LI Chunguang, YUAN Shijun, HAN Yan, QIU Zhixiong
    Journal of Vibration and Shock. 2026, 45(20): 180-191.
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    Aerodynamic measures are effective means to control the vortex-induced vibration (VIV) of long-span bridges; however, traditional engineering practices often adopt a full-span continuous arrangement, which lacks economic efficiency. This paper conducts a study on the optimal design of the spanwise layout of aerodynamic measures for multi-mode vertical bending VIV control.First, through sectional model wind tunnel tests, the VIV characteristics of the original section and the section with aerodynamic measures were tested, and the nonlinear aerodynamic performance of both the original design section and the aerodynamically optimized section was analyzed. Subsequently, based on an amplitude-dependent aerodynamic derivative VIV force model cross-validated by wind tunnel tests, an analysis framework for the three-dimensional multi-mode VIV and spanwise layout optimization design of long-span bridges was established.Taking a cable-stayed bridge as a case study, and using the VIV amplitude limits specified in the code as constraints, the spanwise arrangement of aerodynamic measures was optimized. The results indicate that for this bridge, the VIV responses of the first three key vertical bending modes can be effectively controlled by applying combined aerodynamic measures of "guide vanes + one lower stabilizer" within a 708m range (covering 70.8%) of the main girder mid-span, or by applying "fairings + one lower stabilizer" within a 696m range (covering 69.6%) of the main girder mid-span. Compared with the full-span arrangement, the optimized scheme significantly reduces the usage of aerodynamic measures, verifying the necessity and economic value of spanwise layout optimization.
  • MAO Ling, CHENG Chuang, LI Shujin
    Journal of Vibration and Shock. 2026, 45(20): 192-204.
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    Aiming at the problem that traditional structural damage identification methods based on acceleration response sensitivity exhibit significant errors under noisy environments and when identifying complex structural damages, this study proposes a two-stage damage identification method. The method first employs a deep residual network to predict damage locations and subsequently utilizes acceleration response sensitivity equations to identify damage severity. Structural damage localization enables reduction of the acceleration response sensitivity matrix, thereby simplifying the damage identification equations. Initially, vulnerable elements are determined through structural eigenvalue sensitivity analysis. Precise damage localization within these vulnerable elements is achieved using a deep residual network combined with multi-label classification. Subsequently, simplified damage identification equations are solved based on localization results to obtain actual damage severity in identified elements. The effectiveness and accuracy of the proposed method are validated through numerical examples of complex spatial frames and shaking table tests on planar frames. The results demonstrated that, compared with conventional methods, this approach significantly enhances the accuracy of complex structural damage identification while maintaining good noise resistance.
  • ACOUSTIC RESEARCH AND APPLICATION
  • GUO Qiaohe1, 2, 3, 4, LI Xiukun1, 2, 3, MA Xin4
    Journal of Vibration and Shock. 2026, 45(20): 205-214.
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    The steered minimum variance (STMV) beamformer can obtain a full-rank covariance matrix with a single frequency-domain snapshot, making it suitable for underwater wideband target detection. However, it suffers from high computational complexity and severe performance degradation under array element failure. This paper addresses both issues. For computational acceleration, a blocked Cholesky factorization is introduced into the STMV framework, reducing global memory access from O(M³) to O(M²) and achieving an 8–11× speedup over cuBLAS on a Jetson AGX Xavier GPU. For robustness, perturbation analysis reveals the essential reason why STMV is sensitive to the condition number of the covariance matrix. Based on this analysis, the straightforward strategy of removing the faulty channel is adopted, and the resulting signal-to-noise ratio loss is derived analytically. Simulations and sea trial data show that with 24 or more elements, removing one faulty channel incurs an signal-to-noise ratio loss below 0.2 dB, and the spatial spectrum recovers to near-fault-free levels, with no spectral anomalies in the time-bearing history map. The proposed method balances computational efficiency and engineering robustness, providing an effective solution for real-time and reliable STMV applications. 
  • ZHANG Huaiyu, LIU Yuan, LI Yongchang, ZHAO Jinyu, YAN Linli, LIU Hao
    Journal of Vibration and Shock. 2026, 45(20): 215-223.
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    Accurate acquisition of the surface vibration velocity of acoustic sources is a key prerequisite for noise source identification and radiation analysis. However, conventional measurement methods are limited by the Nyquist sampling theorem and often rely on high-density measurement point data, leading to high measurement costs. Moreover, when reconstructing the global vibration field using a small number of measurement points, traditional vibration velocity reconstruction methods can only recover symmetric vibration fields generated by central excitation, and are not applicable to asymmetric vibration fields caused by eccentric excitation. To address this issue, this paper proposes a sparse reconstruction method for surface vibration velocity that combines high-fidelity finite element data with fast dictionary learning, overcoming the limitations of existing methods that struggle to accurately reconstruct complex vibration fields containing asymmetric modes due to mismatched sparse bases. First, based on the physical properties of a vibrating plate sound source, a high-fidelity simulation model of the vibrating structure is built using finite element software, and a vibration response sample library incorporating eccentric excitation characteristics is established. Then, an online dictionary learning method is used to adaptively extract features and construct an over-complete sparse representation basis for the vibration signals. Finally, based on compressed sensing theory, high-precision reconstruction of the surface vibration 
    velocity of complex vibrating structures is achieved using a small amount of spatial measurement data. Numerical simulations are carried out on a clamped plate. The results show that under the same sparse measurement conditions, the proposed data-driven method achieves higher accuracy and stability in sparse reconstruction of asymmetric vibration fields compared with traditional methods. Experimental results further validate the effectiveness of the proposed method.
  • ZHAO Zhimin1, WANG Chunyang1, WANG Xiao1, GAO Yan1, ZHENG Ying1, HUANG Kechen1, WANG Longkan1, ZHANG Xingjian1, WU Yulong2
    Journal of Vibration and Shock. 2026, 45(20): 224-234.
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    To address the critical challenges that early damage of ship composite plates is difficult to monitor and traditional deep learning models fail to model the spatial topological relationship of sensor networks, this paper proposes a novel damage localization method combining acoustic emission (AE) technology and graph convolutional neural network (GCN). Lead-break tests on composite plates are carried out to systematically compare two categories of graph construction strategies, i.e., distance-based and signal-based methods. Sensitivity analyses concerning key factors including training sample size, sensor quantity, extrapolation localization and noise interference are implemented, and a performance comparison against conventional deep learning approaches is conducted. The results reveal that the signal-based dynamic time warping (DTW) graph construction achieves the optimal localization accuracy with a mean absolute error (MAE) of merely 7.4 mm, overwhelmingly outperforming alternative graph construction schemes. There exists an optimal matching interval between the topological properties of graphs (edge number, directedness) and the modeling logic of graph construction methods; excessively sparse graphs or fully connected graphs will cause localization failure. The presented convolutional neural network method possesses remarkably superior localization performance relative to traditional models. Even under strong noise with a signal-to-noise ratio (SNR) of 2 dB, its mean absolute error remains below 10 mm, and the minimum increment of extrapolation localization error is only 7%, demonstrating outstanding anti-interference capability and engineering practicability. This paper clarifies the correlation law between graph structure construction of acoustic emission signals and localization performance, delivers a new solution for precise early damage localization of ship composite plates, and offers technical references for graph structure design when applying graph neural networks to structural health monitoring.
  • EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE
  • CHANG Jun, CAI Zuxiu
    Journal of Vibration and Shock. 2026, 45(20): 235-243.
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    To reduce seismic damage to bridge substructures, a novel seismic shear key composed of a precast concrete shear key, disc spring self-centering device, and friction energy-dissipation device is proposed based on the structural fuse concept. The friction device provides energy dissipation, while the disc spring device supplies restoring force, jointly forming a two-stage seismic defense mechanism. First, the working mechanism of the shear key is analyzed, and a design method is proposed. Then, a finite element model is established, and its accuracy is verified by theoretical calculations. On this basis, the effects of bolt preload and disc-spring precompression on the shear key performance are investigated. Finally, a full-bridge model is developed for time-history analysis. The results show that increasing bolt preload enhances energy dissipation, while increasing disc-spring precompression improves recentering capacity. The shear key limits girder movement under E1 earthquakes and dissipates energy under E2 earthquakes. Its function can be restored by replacing the disc-spring and friction devices.
  • HE Xiaobin1, GAO Yonglin1, 2, 3, WU Tao1, NING Peng1, 2, SU Hexian1, 2, LAI Zhengcong1, 2
    Journal of Vibration and Shock. 2026, 45(20): 244-256.
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    To investigate the mechanism of how Eave Step Frames influence the seismic performance of Chuan-dou Style Timber Frames, a typical Chuan-dou-style residential building in Shiping, Yunnan, was used as the prototype. Three two-story, two-span full-scale Chuan-dou timber frame models with eave step frames and three without were designed and constructed. Quasi-static cyclic loading tests were conducted to compare seismic performance parameters such as hysteretic behavior, ultimate bearing capacity, lateral stiffness, stiffness degradation, and energy dissipation. The experimental results showed that, compared to the specimens without eave step frames, the specimens with eave step frames exhibited a 67.9% increase in lateral stiffness and a 42.5% increase in ultimate bearing capacity during the positive loading yield stage, while the differences in these parameters during negative loading were minimal. The stiffness degradation of specimens with eave step frames was slower, with a final secant stiffness 35.73% higher than that of specimens without eave step frames. The specimens without eave step frames demonstrated smaller slippage in the jinzhu and rear columns, indicating better self-centering capability. However, the presence of eave step frames increased slippage at the base of the rear columns, reducing the overall energy dissipation capacity. Slippage at the base of the eave columns aggravated the positive inclination of the specimens, leading to severe joint damage, but the inter-story drift angle margin increased by 12.3%, enhancing collapse resistance. Under negative loading, structural failure was more likely to occur. Recommendations for improving the overall seismic performance of timber frames were proposed, focusing on vulnerable areas, providing a basis for refining relevant codes and guiding the restoration and reinforcement of traditional timber structures.
  • TIAN Jianbo1, QU Yuting1, WANG Xiaolei2, ZHOU Wenjing1, HUANG Daguan1, YAN Jingshuai1, LU Junlong1
    Journal of Vibration and Shock. 2026, 45(20): 257-269.
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    This study investigates the seismic performance of brick masonry walls strengthened with textile-reinforced hybrid fiber concrete to address their brittle failure, limited ductility, and poor energy dissipation under severe earthquakes. Five brick masonry wall specimens were tested under low cyclic loading test, and their seismic performance was analyzed. Digital image correlation (DIC) was utilized to precisely quantify the deformation characteristics of the brick masonry walls. The results show that compared with the unreinforced brick masonry wall specimens, the ultimate bearing capacity of brick masonry wall specimens strengthened with basalt- PVA surface layer, calcium carbonate whisker- basalt- PVA surface layer, basalt fiber mesh-hybrid fiber concrete surface layer, and carbon fiber mesh-hybrid fiber concrete surface layer increased by 26.6%, 29.2%, 30.5%, and 36.3%, while ductility improved by 204%, 186%, 209%, and 208%, respectively. At failure, energy dissipation capacity increased by 112%, 172%, 281%, and 244%. The multi-scale fiber system composed of calcium carbonate whisker, basalt fiber and PVA fiber can effectively realize the multi-scale enhancement of hybrid fiber concrete, inhibit the development of cracks, and improve the mechanical properties and material toughness of concrete. Due to the good synergistic effect and crack resistance between the fiber woven mesh and the hybrid fiber reinforced concrete matrix, the brittle failure mode of the reinforced masonry wall is significantly improved. DIC technology can be used to measure the crack deformation of brick masonry wall, which plays an important role in the deformation monitoring and failure mechanism research of brick masonry structure.
  • FAULT DIAGNOSIS ANALYSIS
  • YANG Limei1, 2, WANG Rengen3, CHENG Liu1, KONG Xiangwei1, SU Kaiyu1, CAI Jin4, YU Mingzhu1, YANG Hexu2
    Journal of Vibration and Shock. 2026, 45(20): 270-283.
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    As a key supporting component in rotating machinery, bearings play a crucial role in ensuring the safe and stable operation of mechanical equipment. However, in practical engineering applications, bearing fault diagnosis frequently encounters the challenge of limited samples. This not only impedes diagnostic models from effectively learning discriminative fault features but also substantially increases the risk of overfitting. To address the challenge of bearing fault diagnosis under limited-sample conditions, this paper proposes a bearing fault diagnosis method based on CLAP-HTSAT. The proposed method employs HTSAT (Hierarchical Token Semantic Audio Transformer), the audio encoder of the pre-trained CLAP model, as the feature extractor. By fully leveraging its Swin Transformer architecture and the time-frequency representation capability acquired through pre-training, the method significantly enhances the representation of fault-related features in bearing vibration signals. In terms of model training strategy, a progressive fine-tuning strategy is designed. First, the parameters of the HTSAT encoder are frozen, and only the fully connected classifier is trained, thereby preserving the general representation capability of the pre-trained model and reducing the risk of overfitting. Then, Low-Rank Adaptation (LoRA) is introduced to perform parameter-efficient fine-tuning on HTSAT, enabling the model to better adapt to the bearing fault diagnosis task. Experimental results on both public datasets and laboratory datasets demonstrate that the proposed method achieves superior diagnostic performance compared with various classical fault diagnosis models under limited-sample conditions. These results fully demonstrate the feasibility and generalization capability of the CLAP-HTSAT-based progressive fine-tuning strategy in fault diagnosis tasks.
  • XU Hucheng1, CHEN Hao2, ZHONG Yiming1, WANG Zihao1, ZHANG Jiabao1, KONG Fanrui1, SUN Ning2, LU Ao1
    Journal of Vibration and Shock. 2026, 45(20): 284-296.
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    Rolling bearings are widely used in rotating machinery, and their operational reliability is closely related to the safety of industrial systems. However, due to varying loads, fluctuating speeds, and other complex operating conditions in real industrial scenarios, significant feature discrepancies often arise between different working conditions. At the same time, industrial data typically exhibit long-tailed distributions, and fault samples are scarce, making fault diagnosis under single-source and class-imbalanced settings extremely challenging. To address these issues, this paper proposes a physics-driven single-source domain fault diagnosis method for class-imbalanced conditions. First, geometric bearing parameters and time-varying rotational speed are used to generate virtual domain signals containing realistic characteristic frequencies and sideband structures, thereby enhancing feature-space coverage. Next, prototype alignment and contrastive learning are employed to achieve distribution alignment between real and virtual domains while mitigating the representation bias caused by class imbalance. Finally, a multi-channel time–frequency–energy discriminator is constructed to impose physical consistency constraints from waveform, spectral, and energy perspectives. Experimental results on the PU and UO datasets demonstrate that the proposed method achieves superior performance under unseen working conditions and exhibits strong robustness.
  • YUAN Xiaocui1, 2, SHANG Xu1, KANG Bing1, DING Guili1, GUO Baosu3, ZHANG Aimin2, HOU Dibo4
    Journal of Vibration and Shock. 2026, 45(20): 297-309.
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    Transformer fault voiceprint recognition suffers low accuracy and poor generalization under complex conditions. A fusion method combining multiscale fractal dimension (MFD) and multiscale permutation entropy (MPE) was proposed. MFD described frequency-domain features of voiceprint signals, and MPE characterized time-domain complexity. Features at the same scale were fused to build a frequency-consistent feature matrix, with an OVR-SVM for classification.A 220 kV transformer source-domain dataset and 110/500/800 kV cross-domain datasets were constructed. The results show that the method achieves 100% accuracy and recall on the source domain, outperforming single-feature and other fusion methods. It maintains ≥88% accuracy and recall in noisy cross-domain recognition, with strong generalization and robustness.
  • JI Yaqiang, GUO Yu, FAN Jiawei, YIN Xingchao
    Journal of Vibration and Shock. 2026, 45(20): 310-316.
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    Under actual operating conditions of industrial robots, RV reducers often operate in an incomplete rotation mode, and the fault characteristic frequencies (orders) of planetary gears and cycloidal gears are identical, rendering traditional gear fault diagnosis methods based on modulation sideband features ineffective. To overcome this limitation, a fault feature identification method is proposed by exploiting the differences in frequency response characteristics between planetary and cycloidal gear faults, based on instantaneous angular speed signal envelope demodulation and the 90% effective energy frequency band. The method integrates boundary-continuity filtering to eliminate splicing-induced discontinuities, rotation domain averaging to suppress random asynchronous noise, fast spectral kurtosis to select the optimal demodulation band, and envelope demodulation to extract fault features, with the 90% effective energy band distribution used to validate the distinct frequency response characteristics. Experimental results confirm the effectiveness of the proposed approach.
  • ZHANG Yongde1, ZHANG Rongyou1, GUO Xiaowei2, GUO Dong1, PENG Zhichao1, XU Haoran1, WANG Yanbo1
    Journal of Vibration and Shock. 2026, 45(20): 317-332.
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    Currently, household oxygen concentrators face multiple challenges, particularly the low-frequency broadband noise caused by strong acoustic-thermal-flow multi-physical field coupling in confined spaces. This paper adopts a systematic literature review approach, retrieving studies from Web of Science, Scopus, CNKI and other databases, and including 69 articles. It systematically reviews vibration and noise reduction technologies in this field and explores sound quality optimization from a psychoacoustic perspective. The technologies are classified into three stages: passive protection, active optimization, and principle breakthrough, while psychoacoustic metrics are introduced as supplementary evaluation criteria. Passive protection technologies are mature and reliable for mid-to-high frequency noise reduction, but perform poorly at low frequencies and require large volumes. Actively optimized materials enhance sound absorption and insulation performance through multiscale design, yet face the acoustic-thermal-lightweight trilemma. Acoustic metamaterials can overcome the traditional mass law, but their engineering costs are high and long-term reliability remains unverified. Meanwhile, psychoacoustic analysis shows that merely reducing A-weighted sound pressure levels may introduce pure-tone components, thereby degrading subjective sound quality. Future core pathways include embedding psychoacoustic metrics into topology optimization, integrating intelligent active control with passive metamaterials, and designing material compatibility for oxygen-enriched environments.