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  • Xin-min YANG, Yu GUO, Xin CHEN, Jia-wei FAN
    Journal of Vibration Engineering. 2024, 37(9): 1616-1624.

    Aiming at the problem that the effectiveness and computation cost of the maximum second-order cyclic stationarity blind deconvolution (CYCBD) algorithm are affected by parameter setting,the crest of the harmonics spectrum (HSC) was used as an evaluation index to determine the length of the CYCBD filter adaptively,and the calculation cost of the optimization process was balanced by the method of encoder time series reconstruction. The bearing fault order is calculated and the cycle frequency is set according to it. The pulse number of time series reconstruction is determined according to the fault order. The central difference method (CDM) is used to calculate the instantaneous angular speed (IAS) of the reconstructed signal. The filter length of CYCBD was adaptively selected with the HSC as the evaluation index using the equal-step search strategy. The spectrum corresponding to the maximum HSC is calculated to achieve fault feature extraction. The simulation and experimental data analysis results show that the proposed method can adaptively select the filter length,which has an obvious effect on reducing the cost of the CYCBD algorithm,and is effective for rolling bearing fault feature extraction.

  • Hong Han, Wan-jie ZOU, Chuang-di Li, Xin-guang Ge, Cheng-gui Jing
    Journal of Vibration Engineering. 2024, 37(8): 1397-1408.

    Considering the complexity of solving the seismic response of the energy-dissipated isolated structure with six-parameter viscoelastic damper under the excitation of Li Hongjing spectrum,a concise solution that can obtain random seismic response is proposed. The analysis model of six-parameter viscoelastic damper with support is adopted,and the mathematical modeling of energy dissipation and isolation structure with viscoelastic damper is realized by differential constitutive equation. Combined with complex mode method and the pseudo excitation method (PEM),the unified expression of frequency domain solution for system series response (displacement,velocity and damper force) of vibration isolation system is obtained. Taking Li Hongjing spectrum as the excitation power spectrum,the excitation power spectrum and the eigenvalue function of structural frequency response are simplified,and the concise analytical solutions of the system response power spectrum,response spectral moment and response variance under the random excitation are obtained. An example is given to verify the accuracy and efficiency of the proposed method in analyzing the dynamic response of the system compared with the traditional response analysis method such as the PEM,and the influence of different support stiffness on the vibration reduction effect of the damper is discussed.

  • Xiao-zhen LI, Hao-qing LI, Xi-hao JIANG, Ran BI
    Journal of Vibration Engineering. 2024, 37(8): 1320-1329.

    In this paper,a method for calculating the vibration response of beams damped with constrained damping layer is presented. The indoor vibration experiment of I-beam was carried out,and the vibration response at different positions was measured. A numerical simulation model was established simultaneously based on the finite element method,and the natural frequencies and modal loss factors of I-beam were calculated accurately by using the modal strain energy method. Based on the above results,the modal superposition method was used for the harmonic response analysis,and the vibration response of the I-beam damped with constrained damping layer was obtained. The accuracy of the model was verified by comparing the measured and simulated results. The effects of design parameters (damping layer thickness and constrained layer thickness) on the natural frequency,modal loss factor and overall vibration acceleration level were analyzed. The results show that the vibration response of each component has a similar change rule. The overall vibration acceleration level of web is the largest,followed by the bottom,and the roof is the smallest. In general,the thickness of damping layer has little effect on the first 5 order natural frequencies of I-beam,but with the increase of the thickness of constrained layer,the first 5 order natural frequencies of I-beam decrease first and then increase. Increasing the thickness of damping layer and constrained layer can continuously improve the modal loss factor of I-beam,thereby reducing the overall vibration acceleration level effectively,and the vibration reduction effect of web is better than that of roof and bottom.

  • Xi-yuan LI, Jian-jun ZHANG, Cun-jin AI, Jing-ke SONG
    Journal of Vibration Engineering. 2024, 37(8): 1299-1307.

    The large oscillation of the weight center on the sagittal plane can produce shock and oscillating force on the shoulders and back of the human body,which can cause muscle fatigue in the upper limbs. To alleviate the impact and oscillating force,a hip-joint driven backpack exoskeleton with adaptive adjustment of the weight-gravity center is proposed. Based on the five-bar model of the human body,the kinematic model of the gravity center in the human-weight system and the human-exoskeleton-weight system is established by the D-H method to analyze the trajectory of the gravity center. Based on the Newton-Euler method,the human dynamics model and the human-exoskeleton dynamics model are established. The changes in the human shoulder back forces and the lumbar,hip,and knee joint moments are obtained in the human-weight and human-exoskeleton-weight systems. Results are validated by the software OpenSim. Kinematics,dynamics,and software simulation show that the exoskeleton reduces the fluctuation of the gravity center,improves the torque distribution of each joint,and improves the load-bearing performance.

  • Wu-ji FENG, Wei-zhi XU, Dong-sheng DU, Yi-su DAI, Shu-guang WANG
    Journal of Vibration Engineering. 2024, 37(8): 1386-1396.

    Seismic energy dissipation technology can significantly improve the seismic behavior of building structure. The effect of the damper depends on its effective connection with the main structure,there are few researches on the effective connection design method between the damper and the whole structure at present. In this paper,a cantilever wall structure with a new type of embedded parts is proposed for the intermediate column connection of metal dampers in engineering,and the design method and key points are given. In order to further explore the reliability of the design method and investigate the mechanical properties of the cantilever wall,two specimens were tested under quasi-static unidirectional loading and low-cycle reciprocating loading. The results show that the cantilever wall cracks begin to develop from the joint of embedded parts,and the stress in the corner and the core area of the embedded parts is larger when it is destroyed. Adding hidden beam and hidden column can better improve the load carrying capacity of the cantilever wall. The new embedded parts can be combined with the hidden beam and hidden column to make the cantilever wall bear larger damping force under the condition of small size,and ensure the damper to give full play to the seismic energy dissipation effect.

  • Wei LIU, Guo-bin WANG, Zhi-peng ZHAO, Xiao-jun ZHAO
    Journal of Vibration Engineering. 2024, 37(8): 1330-1338.

    Based on the modified Timoshenko beam theory,the transverse vibration governing equation of the modified Timoshenko beam on the viscoelastic Pasternak foundation is established. The analytical solutions of the natural frequency and attenuation coefficient of the modified Timoshenko beam simply supported at both ends in the viscoelastic Pasternak foundation are derived with the reverberation-ray matrix method. The natural vibration characteristics of the modified Timoshenko beam on the viscoelastic Pasternak foundation under classical boundary conditions are calculated by dichotomy and golden section method. The effects of moment of inertia caused by shear deformation,beam length and different boundary conditions on the natural vibration characteristics of the structure are compared and analyzed. The results show that the natural frequency and attenuation coefficient of the modified Timoshenko beam on the viscoelastic Pasternak foundation are smaller than those of the classical Timoshenko beam; the shorter the beam,the more significant the influence of the moment of inertia caused by shear deformation on the natural frequency and attenuation coefficient of the structure,and the influence on the higher order is obviously greater than that on the low order; the stronger the boundary constraint condition,the more obvious the vibration energy attenuation.

  • Yue ZHANG, Jin ZHOU, Quan SHEN, Yi-bo ZHANG
    Journal of Vibration Engineering. 2024, 37(8): 1281-1289.

    The magnetically suspended rotor applied to the moving carrier may be subject to the base motion excitation,causing the rotor vibration,and even cause friction and system instability. To explore the vibration response of the magnetically suspended rotor under the base excitation,the numerical simulation and experimental verification are conducted. The effect of the base excitation on the rotor is introduced into the differential equation of the rotor motion in the form of an additional generalized force. Considering the closed-loop control of the magnetic bearing,the dynamic model of the magnetically suspended rotor under base excitation is established. The influence of the excitation amplitude and frequency,the acceleration and shock width on the vibration response of the rotor is analyzed by numerical simulation. Finally,the base excitation experiments were conducted. The experimental results verify the accuracy of the magnetically suspended rotor model under the base excitation. The results show that the rotor vibration amplitude is proportional to the amplitude and square of frequency of the base harmonic excitation,the rotor vibration maximum is proportional to the base shock excitation acceleration. The proportional coefficient and differential coefficient of the magnetic bearing controller can suppress the rotor vibration brought by the base excitation.

  • Hao CHEN, Yu-fei GUO, Sheng-yue XU, Zhi-gang WANG, Zhi-qiang HAO
    Journal of Vibration Engineering. 2024, 37(8): 1290-1298.

    A fast robust control strategy based on variable power log-reaching law is proposed for a class of manipulator systems with uncertain random oscillations in the mounting base. The uncertain dynamic model of the system is established based on Euler-Lagrange equation,and the oscillation term of the base in the model is regarded as the uncertain external disturbance force of the manipulator system. A new approach law of variable power logarithm function is proposed,which can realize the rapid approach of the system state far away from the sliding mode surface,and ensure the effective chattering suppression after approaching the sliding mode surface. On this basis,combined with a fast terminal sliding surface,a fast robust controller is designed,which can further improve the state convergence rate of the system. The finite-time convergence of the controller is proved based on Lyapunov stability theory. An experimental platform is built to further verify the effectiveness of the controller.

  • Yong FAN, Ming-dong HU, Guang-dong YANG, Xian-ze CUI, Qi-dong GAO
    Journal of Vibration Engineering. 2024, 37(8): 1431-1441.

    Aiming at the low accuracy of traditional empirical formulas in complex site environment,a predictive model for peak blasting vibration velocity based on grey wolf optimization support vector regression (PCA-GWO-SVR) with principal component analysis (PCA) feature selection is proposed. Based on the monitoring data of blasting excavation of dam abutment trough on the right bank of Baihetan Hydropower Station,the blasting center distance,maximum single-shot charge quantity,elevation difference,longitudinal wave velocity,bore spacing and bore row distance are selected as input parameters,and the characteristic values are selected by data dimension reduction of PCA,and the six selected features are dimensionally reduced to four characteristics with higher correlation. Support vector regression (SVR) is improved by grey wolf optimization algorithm (GWO) to obtain the optimal parameters. Parameters are input into the SVR model for evaluation. The research results show that the PCA-GWO-SVR algorithm has better agreement with the predicted values and the measured values of Sadowski formula,improved Sadowski formula,SVR,PCA-SVR,GWO-SVR. The predicted results are more accurate and can predict the peak value of blasting vibration of slope more effectively,which provides help for safety control of blasting construction of slope.

  • Xu-sheng LIN, Le-le ZHANG, Zhuang-ning XIE, Fei WANG, Bi-qing SHI
    Journal of Vibration Engineering. 2024, 37(8): 1359-1367.

    In this paper,the characteristics of structural response and modal parameters of Shenzhen New World Center (height 238 m) are analyzed based on the field data during five typhoons in the last 10 years. The field results are further compared with the wind tunnel test results when the roughness exponent α is 0.22,0.30 and 0.35 respectively. The field results show that the building exhibits obvious crosswind vibration when reaching its maximum vibration amplitude,and the corresponding vibration is in the north-south direction. The measured maximum acceleration is 17.28 cm/s2,which meets the requirement of residential comfort. During the five typhoons,the modal frequencies are shown to be evidently amplitude dependent and time-varying,and it is more reasonable to describe the variation of modal frequency with time than the variation with amplitude. The modal frequency first decreases with time and reaches its minimum at the peak wind speed,and then returns to the normal value. The modal damping ratios tend to be scattered in the middle- and low-amplitude region,and rise slightly with increase in the amplitude. The maximum damping ratios in the alongwind and crosswind directions are 1.9% and 1.2%,respectively. The wind tunnel test results for α=0.35 are in good agreement with the field measured results,indicating that the wind tunnel test results for terrain category C are conservative.