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  • Yang LYU, Pinbin MEI
    Journal of Vibration Engineering. 2025, 38(4): 785-793.

    The fuzzy domain of traditional fuzzy control is fixed,and the control efficiency will decrease when the dynamic characteristics of the controlled structure or external excitation changes. On the basis of traditional fuzzy control algorithms,a variable universe fuzzy control is designed. The variable universe fuzzy control takes the error and error rate of the controlled structure as input,and the scaling factor as output,achieving adaptive adjustment of the fuzzy domain of the main fuzzy controller. A two-story steel frame structure with a magnetorheological damper as the control device was constructed,and the variable universe fuzzy control system with the displacement and velocity of the first floor as inputs was developed in the dSPACE real-time simulation system. Shaking table tests under different intensities of seismic motion and different additional mass conditions were conducted. The results show that variable universe fuzzy control can adaptively adjust the fuzzy domain,effectively reducing structural displacement,velocity,and acceleration response. When the added mass of the controlled structure and the peak ground acceleration change,the control effect of variable universe fuzzy control is better than that of fuzzy control and OFF passive control.

  • Jinlong WEN, Yang LI, Zhihao WANG, Aijiu CHEN, Mingyi HU
    Journal of Vibration Engineering. 2025, 38(4): 794-802.

    To establish the optimal design method of multiple tuned mass damper(MTMD)for the footbridge considering the vertical human-structure interaction,the parameters randomness of the mass-spring-damper(MSD)pedestrian model is simulated,and the vertical dynamic response of the random crowd-footbridge-MTMD system is calculated based on the pseudo-excitation method. Then,the effect of vertical human-structure interaction on the dynamic response of the footbridge-TMD system is demonstrated. Finally,based on the H2 performance of the acceleration transfer function and response surface methodology of the coupled system,an optimal design method of MTMD for footbridge vibration control considering vertical human-structure interaction is established. The results show that the dynamic response calculation method of the coupled system avoids a large number of nonlinear time history analyses,and the power spectrum and root mean square of the coupled system response can be obtained efficiently. The vertical human-structure interaction makes the TMD detuning effect significant,and the reduction rate of TMD with 3% mass ratio decreases by 37.19% when the crowd density increases from 0.25 person/m2 to 1.25 person/m2. The proposed MTMD optimization design method for footbridge has an average mitigation rate of over 70% for footbridge acceleration response.

  • Ning SU, Zhaoqing CHEN, Jing BIAN, Cong ZENG
    Journal of Vibration Engineering. 2025, 38(4): 803-815.

    Inerters and negative stiffness devices can improve the energy dissipation performance of vibration absorbers. An increasing number of applications of them in novel high-performance vibration suppression have been witnessed. In this paper,analytical parametric optimization analyses on the tuned inerter mass systems with negative stiffness(NS-TIMS)are performed. A unified model of governing equations and transfer functions for NS-TIMS under different installation locations,application scenarios(such as inter-layer vibration absorption,and base isolation)and excitation types is established. Based on the fixed-point theory,the optimal parameters of NS-TIMS considering both H∞ and H2 norms are analytically derived. Considering typical application conditions,the analytical formulas are further analyzed and simplified. Consequently,the design formulas for the optimal parameters of NS-TIMS based on the“equivalent inertial mass ratio” are proposed. The application scopes of the design formula are discussed. Through numerical cases on the practical examples of wind-induced vibration control and seismic base isolation,the effectiveness of the design formulas considering the actual structural damping ratio and spectral characteristics of stochastic excitations is verified. It is also revealed that NS-TIMSs have superior performances in both high flexible structure vibration absorption and auxiliary base vibration isolation.

  • Ming FANG, Jian WANG, Yujuan WANG, Ran WEI, Zhichao YU
    Journal of Vibration Engineering. 2025, 38(4): 816-826.

    In order to study the influence of partially isolation on the dynamic characteristics and seismic performance,taking a dominate large terminal airport as a research object,a 3 dimensional finite element model using ABAQUS software is established. Based on this model,the structural vertical vibration modes,the effective mode mass,the vertical vibration acceleration,vertical deformation,component ductility,plastic damage and residual deformation are analyzed to reveal the influence of partially isolation on the dynamic characteristics and seismic performance. It’s demonstrated that partial isolation changes the vibration modes,increases the effective mode mass and magnify the vertical seismic load of the terminal building. At the same time,partial isolation filters the high frequency vibration,enlarges the low frequency vibration near the isolation frequency and increases the vertical acceleration and deformation. The plastic damage and residual deformation has been concentrated on the middle and end sections of innerspan beams.

  • Qingxia YUE, Yipu YU, Shurong LI, Xin ZHANG, Yan WANG
    Journal of Vibration Engineering. 2025, 38(4): 827-837.

    To improve the whole seismic performance of the frame structure,especially the beam-column joint,a new seismic reinforcement method is proposed for reinforced concrete frame structure with adding a web-type plate. The internal force optimum can be achieved by setting the web-type plate at a certain region between frame beams,and the bending moment of the beam-column joint will decrease. A multiple seismic defense lines frame structure can be formed with the web-type plate. A typical frame structure of 10 stories is designed as a case study. The effects of the layout,linear stiffness ratio,and reinforcement of the web-type plate on the structural performance are analyzed. The reinforcement ratio of the web-type plate to the column and beam is proposed. The seismic analysis shows that the lateral stiffness of the structure is improved,meanwhile the bending moment of the beam-column joint is reduced. The optimum layout position of the web-type plate is 0.3 and 0.7 of the beam span,and the suggested linear stiffness ratio of the web-type plate to column and beam are 0.7~1.5 and 3.5~7,respectively. Further,a suggested reinforcement ratio of the web-type plate is given by nonlinear parametric analysis to ensure that the plate yields first as designed. The nonlinear dynamic time-history analysis of an actual engineering project that seismic upgrading with the web-type plate is undertaken. The analysis results show that the lateral displacement,and the inter-story drift ratio of the structure with web-type plate are reduced. Compared with the structure before upgrading,the plastic hinges are reduced. The seismic performance of the frame structure reinforced with the web-type plate is improved. The analysis verify that the proposed strengthening method with web-type plate was reasonable and feasible.

  • Yu ZHOU, Luyi GAN, Shengkui DI, Dong CHENG, Dengjia FANG
    Journal of Vibration Engineering. 2025, 38(4): 838-848.

    The influence line is an important parameter of the elastic mechanical state of the bridge structure,which can effectively reflect the resistance and deformation resistance of the structure,and is expected to be used to evaluate and predict the elastic-plastic response during earthquakes. Taking the influence line of a three-span steel plate composite continuous beam bridge as the model correction target,the bridge model correction research is carried out based on BP neural network. With the expectation of Beta distribution as the earthquake damage index,the overtaking probability expression of the bridge model under various performance levels is fitted,and the seismic vulnerability of the continuous beam bridge structure before and after the finite element modification is analyzed and compared. The results show that the relative error between the measured value and the calculated value can be reduced from 38% to less than 10%,and the earthquake damage index of the modified finite element model is lower than that of the initial model. By incorporating the Beta distribution to weight and integrate different performance levels,the structural vulnerability matrix can be transformed into a seismic damage index,thereby accounting for the damage consequences of different failure levels and providing a more comprehensive representation of the seismic performance of the bridge structure.

  • Hongfei FAN, Yanzhen WANG, Weiyun CHEN, Guoxing CHEN, Kai ZHAO
    Journal of Vibration Engineering. 2025, 38(4): 849-859.

    The analysis of seismic response at seabed sites is a crucial initial step in marine engineering construction. In this study,a fluid-solid weak coupling model is employed to replicate the interaction between seawater and the seabed. Specifically,four representative borehole sections along the proposed tunnel at Qiongzhou strait are chosen to investigate the influence induced by seawater,soft sediments,and bedrock earthquake motion on the seismic responses of the seabed site. A generalized non-Masing constitutive model(DCZ model)is utilized to account for the dynamic nonlinearity of the seabed soft soil. The findings indicate that the suppression effect of seawater on seismic motion in the seabed is limited to depths shallower than 50 m. Furthermore,the suppression effect is more pronounced in the vertical direction compared to the horizontal direction. Additionally,there is a positive correlation between the suppression effect of seawater on seismic motion at the seabed surface and the frequency response phenomenon characterized by high frequency suppression and low frequency amplification in the seabed seismic response. This correlation is influenced by the depth of the seawater. The mean lines of the horizontal and vertical spectrum β obtained by numerical calculation are higher than the design spectrum in the land code in several period ranges,and the possibility of adverse effects induced by seawater and seabed soft sedimentation on the seismic resistance of marine structures should be considered.

  • Xueliang JIANG, Zihao WANG, Hui YANG, Jiahui GUO, Haodong WANG
    Journal of Vibration Engineering. 2025, 38(4): 860-868.

    Based on the three-dimensional finite element slope dynamic analysis model which is validated through the test data of 1:7 indoor physical model for live tree stump,the attenuation characteristics of additional dynamic stress on live tree stump slopes,the stress response characteristics of taproot and lateral root of live tree stumps,and the influence of live tree stumps on slope stability are studied. The dynamic stability mechanism of live tree stump slope is explored. The research conclusion is as follows. The peak value of vertical dynamic soil pressure calculated by the three-dimensional finite element dynamic analysis model is close to the measured results of the indoor physical model. The method and calculation results of the three-dimensional finite element dynamic analysis model of the live tree stump slope established through Midas GTS NX are reliable. The peak value of additional dynamic stress on the slope is affected by the superposition effect of train axle load. The higher the train movement speed,the greater the peak value of vertical dynamic stress. The additional dynamic stress in the ballast layer is the largest,it rapidly decays and diffuses downwards showing a semicircular arc shape. Only small dynamic stresses are transmitted to the two rows of live trees on the upper slope. The degree to which the shear resistance of the taproot of live tree stumps varies at different positions,and the taproot at the foot of the slope is subjected to greater shear stress compared to the taproot at the shoulder of the slope. The taproot is similar to the anti-slide pile to exert its shear resistance ability. The side roots of live tree stumps growing inside the slope are similar to anchor rods,while the side roots growing outside the slope are similar to supports,and they form an anchor-support effect that synergizes with the main root to play a sliding resistance role. The existence of live tree stumps leads to a redistribution of stress in soil,and the shear stress concentration near the live tree stumps. The live tree stumps hinder the transmission of shear stress in soil,inhibit the connectivity of plastic zones,and improve slope stability. The degree of influence on the horizontal dynamic displacement of the slope is related to its distance to the location of the dynamic load,and the closer the distance,the greater the impact. The live tree stumps can reduce the horizontal dynamic displacement at various points on the slope,but the reduction at the foot of the slope is the greatest. The live tree stumps can significantly improve the stability of slopes under train power,and their slope safety factor can be increased by 15%~20%. The potential sliding surface of the live tree stump slope presents a circular arc shape,and the live tree stump moves the plastic zone towards the deep soil layer,thereby improving the stability of the slope. The research results can provide certain guidance for the application of live tree stumps in roadbed slopes.

  • Jiawei FAN, Yu GUO, Xingchao YIN, Xiang ZOU, Hongwei WANG
    Journal of Vibration Engineering. 2025, 38(4): 869-876.

    Currently,gear fault detection based on vibration,acoustic emission,and other signals requires the installation of additional sensors. This approach faces limitations in terms of sensor placement,high sensor cost,and difficulties in analyzing signals due to modulation effects in gear systems with variable transmission paths,such as planetary gearboxes. A method for diagnosing local gear faults using the built-in encoder of the servo motor is proposed in this paper. Using the output signal of the built-in encoder to extract the feature related to local gear faults. The encoder signal acquisition wiring is drawn from the built-in encoder of the servo motor,and a high-speed counter is used to record the time interval between the rising edges of the angular position pulses of the rotary encoder. The instantaneous angular speed(IAS)signal is calculated,and the IAS signal is analyzed and feature extracted in the angular and order domains to achieve local gear fault detection. Taking the planetary gearbox gear localized fault detection as an example,the proposed method is validated through experiments. Results show that using the built-in encoder of the servo motor can effectively achieve the detection of gear partial faults under low and variable speed conditions. This provides a new approach to fault detection of transmission units such as gearboxes in applications driven by servo motors.

  • Bo SHE, Fenqi QIN, Zhangsong SHI, Weige LIANG, Xuan WANG
    Journal of Vibration Engineering. 2025, 38(4): 877-888.

    For cross domain diagnosis of the label spaces of source domain and target domain are partially overlapped,that is to say,both the target domain and the source domain contain the classes that the other does not have,a cross domain adaptive fusion diagnosis method based on weighted adversarial learning is proposed. As entropy can be used to reflect the characteristics of the shared known classes and unknown classes,two convolutional neural networks with the same structure are introduced to carry out entropy-based weighted adversarial training,which is aim to enhance the ability to identify the shared known classes by extracting the domain-invariant features,as well as the binary cross schemes of the source domain and target domain sample outputs are used to isolate the unknown classes. In addition,the fully connected layer hidden features of these two convolutional neural networks are taken as the input of two label transfer models,and the probability outputs of these three diagnostic models are fused by voting rule. The failure test bench data of mechanical transmission components under variable working conditions and the damage data of selfpriming centrifugal pump are used for analysis and verification,the experimental results show that the proposed cross domain adaptive fusion diagnosis method can distinguish the shared known classes and unknown classes in the target domain more accurately.