SU Cheng, ZHONG Chun-yi, ZHOU Li-cheng. Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method[J]. Applied Mathematics and Mechanics, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510
Citation: SU Cheng, ZHONG Chun-yi, ZHOU Li-cheng. Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method[J]. Applied Mathematics and Mechanics, 2017, 38(1): 99-108. doi: 10.21656/1000-0887.370510

Random Vibration Analysis of Coupled Vehicle-Bridge Systems With the Explicit Time-Domain Method

doi: 10.21656/1000-0887.370510
Funds:  The National Natural Science Foundation of China(51678252)
  • Received Date: 2016-10-26
  • Rev Recd Date: 2016-12-28
  • Publish Date: 2017-01-15
  • The vibration of coupled vehicle-bridge systems subjected to random deck or track irregularities exhibits typical non-stationary stochastic features. The explicit expressions for the dynamic responses of the vehicle and the bridge subsystems were first established. Based on the motion compatibility condition between the vehicle and the bridge, the explicit expression for the vehicle-bridge contact force in terms of deck irregularities was then derived. Such explicit formulation reflects the physical evolution mechanism of the coupled vehicle-bridge system. Subsequently, the evolutionary statistical moments of the vehicle-bridge contact force were obtained through direct application of the statistical moment operation rules, thereafter the evolutionary statistical moments for critical responses of the vehicle and the bridge subsystems could be calculated. In addition, a random simulation method (i.e. the Monte Carlo simulation method) was put forward based on that the contact force was explicitly expressed in terms of deck irregularities. In turn, the evolutionary statistical moments or the other statistical properties of the critical responses of the coupled vehicle-bridge system could be easily achieved. Since the physical and probabilistic evolution processes of the coupled system were coped with in a relatively separate manner, the proposed method avoided repeated solution of the motion equations for the system. Moreover, a dimension-reducing scheme was involved for the calculation of the statistical moments of the contact force and other related responses as well. All these merits enable the proposed method to be more effective for random vibration analysis of coupled vehicle-bridge systems, as compared with the previous methods. Numerical examples indicate that the proposed method has high accuracy and superior computational efficiency.
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  • [1]
    翟婉明. 车辆-轨道耦合动力学(上册)[M]. 第4版. 北京: 科学出版社, 2014: 120-128.(ZHAI Wan-ming. Vehicle-Track Coupling Dynamics(Volume One) [M]. 4th ed. Beijing: Science Press, 2014: 120-128.(in Chinese))
    夏禾, 张楠. 车辆与结构动力相互作用[M]. 第2版. 北京: 科学出版社, 2005: 93-105.(XIA He, ZHANG Nan. Dynamic Interaction of Vehicles and Structures [M]. 2nd ed. Beijing: Science Press, 2005: 93-105.(in Chinese))
    雷晓燕. 铁路轨道结构数值分析方法[M]. 北京: 中国铁道出版社, 1998: 37-41.(LEI Xiao-yan. Numerical Methods for Analysis of Railway Track Structures [M]. Beijing: China Railway Publishing House, 1998: 37-41.(in Chinese))
    Au F T K, Wang J J, Cheung Y K. Impact study of cable-stayed railway bridges with random rail irregularities[J]. Engineering Structures,2002,24(5): 529-541.
    Lei X, Noda N A. Analyses of dynamic response of vehicle and track coupling system with random irregularity of track vertical profile[J]. Journal of Sound and Vibration,2002,258(1): 147-165.
    WU Yean-seng, YANG Yeong-bin. Steady-state response and riding comfort of trains moving over a series of simply supported bridges[J]. Engineering Structures,2003,25(2): 251-265.
    晋智斌, 强士中, 李小珍. 轨道不平顺激励下车辆-桥梁垂向随机振动方差解法[J]. 铁道学报,2008,30(6): 63-68.(JIN Zhi-bin, QIANG Shi-zhong, LI Xiao-zhen. Covariance method for vehicle-bridge vertical stochastic vibration excited by rail irregularities[J]. Journal of the China Railway Society,2008,30(6): 63-68.(in Chinese))
    Li J Q, Leng X L, Fang T. Evolutionary random response problem of a coupled vehicle-bridge system[J]. Archive of Applied Mechanics,2002,72(6/7): 536-544.
    叶茂, 谭平, 任珉, 等. 多个车辆荷载作用下桥梁演变随机振动分析[J]. 振动工程学报, 2010,23(3): 269-274.(YE Mao, TAN Ping, REN Min, et al. Evolutionary random vibration analysis of a bridge subjected to moving vehicles[J]. Journal of Vibration Engineering,2010,23(3): 269-274.(in Chinese))
    Zhang Z C, Lin J H, Zhang Y H,et al. Nonstationary random vibration analysis of coupled vehicle-bridge systems[J]. Engineering Computations,2010,27(6): 712-732.
    Lu F, Lin J H, Kennedy D,et al. An algorithm to study non-stationary random vibrations of vehicle-bridge systems[J]. Computers & Structures,2009,87(3/4): 177-185.
    ZENG Zhi-ping, ZHAO Yan-gang, XU Wen-tao, et al. Random vibration analysis of train-bridge under track irregularities and traveling seismic waves using train-slab track-bridge interaction model[J]. Journal of Sound and Vibration,2015,342: 22-43.
    YU Zhi-wu, MAO Jian-feng, GUO Feng-qi, et al. Non-stationary random vibration analysis of a 3D train-bridge system using the probability density evolution method[J]. Journal of Sound and Vibration,2015,366: 173-189.
    苏成, 徐瑞. 非平稳随机激励下结构体系动力可靠度时域解法[J]. 力学学报,2010,42(3): 512-520.(SU Cheng, XU Rui. Time-domain method for dynamic reliability of structural systems subjected to non-stationary random excitations[J]. Chinese Journal of Theoretical and Applied Mechanics,2010,42(3): 512-520.(in Chinese))
    SU Cheng, XU Rui. Random vibration analysis of structures by a time-domain explicit formulation method[J]. Structural Engineering and Mechanics,2014,52(2): 239-260.
    SU Cheng, HUANG Huan, MA Hai-tao. Fast equivalent linearization method for nonlinear structures under nonstationary random excitations[J]. Journal of Engineering Mechanics,2016,142(8): 04016049.
    HU Zhi-qiang, SU Cheng, CHEN Tai-cong, et al. An explicit time-domain approach for sensitivity analysis of non-stationary random vibration problems[J]. Journal of Sound and Vibration,2016,382: 122-139.
    苏成, 黄志坚, 刘小璐. 高层建筑地震作用计算的时域显式随机模拟法[J]. 建筑结构学报, 2015,36(1): 13-22.(SU Cheng, HUANG Zhi-jian, LIU Xiao-lu. Time-domain explicit random simulation method for seismic analysis of tall buildings[J]. Journal of Building Structures,2015,36(1): 13-22.(in Chinese))
    苏成, 徐瑞, 刘小璐, 等. 大跨度空间结构抗震分析的非平稳随机振动时域显式法[J]. 建筑结构学报, 2011,32(11): 169-176.(SU Cheng, XU Rui, LIU Xiao-lu, et al. Non-stationary seismic analysis of large-span spatial structures by time-domain explicit method[J]. Journal of Building Structures,2011,32(11): 169-176.(in Chinese))
    苏成, 李保木, 陈太聪, 等. 粘滞阻尼器减震结构非线性随机振动的时域显式降维迭代随机模拟法[J]. 计算力学学报, 2016,33(4): 556-563.(SU Cheng, LI Bao-mu, CHEN Tai-cong, et al. Nonlinear random vibration analysis of energy-dissipation structures with viscous dampers by random simulation method based on explicit time-domain dimension-reduced iteration scheme[J]. Chinese Journal of Computational Mechanics, 2016,33(4): 556-563.(in Chinese))
    Shinozuka M. Simulation of multivariate and multidimensional random processes[J]. Journal of the Acoustical Society of America,1971,49(1B): 357-368.
    张楠, 夏禾. 基于全过程迭代的车桥耦合动力系统分析方法[J]. 中国铁道科学, 2013,34(5): 32-38.(ZHANG Nan, XIA He. A vehicle-bridge interaction dynamic system analysis method based on inter-system iteration[J]. China Railway Science,2013,34 (5): 32-38.(in Chinese))
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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