LI Qian, LIU Jun-qing, CHEN Cheng-cheng. Dynamic Analysis of the 4-DOF Vehicle-Road Coupling System Under Random Excitation[J]. Applied Mathematics and Mechanics, 2015, 36(5): 460-473. doi: 10.3879/j.issn.1000-0887.2015.05.002
Citation: LI Qian, LIU Jun-qing, CHEN Cheng-cheng. Dynamic Analysis of the 4-DOF Vehicle-Road Coupling System Under Random Excitation[J]. Applied Mathematics and Mechanics, 2015, 36(5): 460-473. doi: 10.3879/j.issn.1000-0887.2015.05.002

Dynamic Analysis of the 4-DOF Vehicle-Road Coupling System Under Random Excitation

doi: 10.3879/j.issn.1000-0887.2015.05.002
Funds:  The National Natural Science Foundation of China(51178387)
  • Received Date: 2014-08-29
  • Rev Recd Date: 2015-04-09
  • Publish Date: 2015-05-15
  • The Gauss stationary random process was adopted to simulate pavement roughness, and a MATLAB program was compiled to obtain the values of pavement roughness. A 4-DOF vehicle model was built, and the vehicle and road were seen as a holistic coupling system. Then the dynamic equilibrium equations for the vehicle-road coupling system were established. In order to simplify the analysis work, the traditional method which used the theory of random vibration to determine the dynamic tire force was avoided and the values of pavement roughness were directly input in the form of vectors into the dynamic equilibrium equations, which were solved with the MATLAB program developed based on the incremental Newmark-βmethod. The reliability of the model was verified with a test. Then how the dynamic load coefficient and vertical vehicle acceleration were influenced by the vehicle speed and pavement roughness grade was parametrically analyzed in an example. At last, the effects of the roadbed elastic modulus on the vehicle vibration characteristics were investigated. The results show that, the vehicle dynamic load coefficient increases with the driving speed and the pavement roughness grade as well, meanwhile the vehicle body vibration acceleration rises with the driving speed but converges or even slightly falls after a peak value, and that acceleration goes up always with the roughness grade; furthermore, the dynamic load coefficient decreases with the roadbed elastic modulus and converges down to a constant value.
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  • [1]
    Cebon D, Winkler C B. A study of road damage due to dynamic wheel loads using a load measuring mat[R]. Strategic Highway Research Program, National Research Council, Washington D C, 1991.
    [2]
    Hardy M S A, Cebon D. Response of continuous pavements to moving dynamic loads[J].Journal of Engineering Mechanics,1993,119(9): 1762-1780.
    [3]
    SUN Lu, Kennedy T W. Spectral analysis and parametric study of stochastic pavement loads[J].Journal of Engineering Mechanics,2002,128(3): 318-327.
    [4]
    钟阳, 王哲人, 张肖宁. 不平整路面上行驶的车辆对路面随机动压力的分析[J]. 中国公路学报, 1992,5(2): 12, 40-43.(ZHONG Yang, WANG Zhe-ren, ZHANG Xiao-ning. Random dynamic pressure of moving vehicle on rough pavement[J].China Journal of Highway and Transport,1992,5(2): 12, 40-43.(in Chinese))
    [5]
    周华飞, 蒋建群, 毛根海. 路面不平整引起的车辆动荷载分析[J]. 中国市政工程, 2002,25(3): 10-13.(ZHOU Hua-fei, JIANG Jian-qun, MAO Gen-hai. Analysis of dynamic vehicle load caused by pavement roughness[J].China Municipal Engineering,2002,25(3): 10-13.(in Chinese))
    [6]
    徐建平, 尚刚, 梁乃兴. 路面不平整引起的汽车动荷载计算分析[J]. 重庆交通学院学报, 2001,20(1): 26-28.(XU Jian-ping, SHANG Gang, LIANG Nai-xing. Analysis of dynamic load caused by driving automobile on undulate pavement[J].Journal of Chongqing Jiaotong University,2001,20(1): 26-28.(in Chinese))
    [7]
    罗红, 梁波, 吴志华, 史石荣. 半车车辆-道路耦合动力分析模型的研究与应用[J]. 应用数学和力学, 2014,35(7): 737-749.(LUO Hong, LIANG Bo, WU Zhi-hua, SHI Shi-rong. Study and application of a 4-DOF 1/2 vehicle-road coupling dynamic model[J].Applied Mathematics and Mechanics,2014,35(7): 737-749.(in Chinese))
    [8]
    李韶华, 杨绍普, 齐月芹. 移动随机荷载下沥青路面的动力学特性和参数影响分析[J]. 工程力学, 2011,28(11): 159-165.(LI Shao-hua, YANG Shao-pu, QI Yue-qing. Dynamics of asphalt pavement under moving stochastic loads and parameter analysis[J].Engineering Mechanics,2011,28(11): 159-165.(in Chinese))
    [9]
    刘小云, 史春娟. 车辆荷载下沥青路面动力响应随机特性及可靠性分析[J]. 中国公路学报, 2012,25(6): 50-55.(LIU Xiao-yun, SHI Chun-juan. Random characteristics and reliability analysis of asphalt pavement under vehicle random load[J].China Journal of Highway and Transport,2012,25(6): 50-55.(in Chinese))
    [10]
    刘献栋, 邓志党, 高峰. 公路路面不平度的数值模拟方法研究[J]. 北京航空航天大学学报, 2003,29(9): 843-846.(LIU Xian-dong, DENG Zhi-dang, GAO Feng. Research on the method of simulating road roughness numerically[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(9): 843-846.(in Chinese))
    [11]
    宋一凡, 陈榕峰. 基于路面不平整度的车辆振动响应分析方法[J]. 交通运输工程学报, 2007,7(4): 39-43.(SONG Yi-fan, CHEN Rong-feng. Analysis method of vehicle vibration response caused by pavement roughness[J].Journal of Traffic and Transportation Engineering,2007,7(4): 39-43.(in Chinese))
    [12]
    GB/T 7031-1986, 车辆振动输入 路面平度表示方法[S]. 1986.(GB/T 7031-1986, Vehicle vibration-describing method for road surface irregularity[S]. 1986.(in Chinese))
    [13]
    王万洪. 基于车路耦合模型的路面结构动力分析[D]. 硕士学位论文. 北京: 北京交通大学, 2008.(WANG Wan-hong. Dynamic analysis on pavement structure based on the vehicle-road coupling mode[D]. Master Thesis. Beijing: Beijing Jiaotong University, 2008.(in Chinese))
    [14]
    夏禾. 车辆与结构动力相互作用[M]. 北京: 科学出版社, 2002.(XIA He.The Dynamic Interaction Between Vehicle and Structure[M]. Beijing: Science Press, 2002.(in Chinese))
    [15]
    钟阳, 王哲人, 张肖宁. 不平整路面上行驶的车辆对路面随机动压力的分析[J]. 中国公路学报, 1992,5(2): 40-43.(ZHONG Yang, WANG Zhe-ren, ZHANG Xiao-ning. Random dynamic pressure of moving vehicle on rough pavement[J].China Journal of Highway and Transport,1992,5(2): 40-43.(in Chinese))
    [16]
    钟阳, 刘季. 路面车辆随机动荷载理论分析[J]. 工程力学, 1993,10(4): 26-31.(ZHONG Yang, LIU Ji. Theorical analysis of random dynamic load between road and vehicle[J].Engineering Mechanics,1993,10(4): 26-31.(in Chinese))
    [17]
    梁波, 罗红, 马学宁. 二系悬挂条件下的车-路垂向耦合系统的动力模型[J]. 应用数学和力学, 2007,28(6): 684-692.(LIANG Bo, LUO Hong, MA Xue-ning. Dynamic model of the vertical vehicle subgrade coupled system under secondary suspension[J].Applied Mathematics and Mechanics,2007,28(6): 684-692.(in Chinese))
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