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. doi: 10.3879/j.issn.1000-0887.2014.07.003
 Citation: 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.

# Study and Application of a 4-DOF 1/2 Vehicle-Road Coupling Dynamic Model

##### doi: 10.3879/j.issn.1000-0887.2014.07.003
• Received Date: 2014-04-22
• Rev Recd Date: 2014-05-20
• Publish Date: 2014-07-15
• In the case of a vehicle running on a road, coupling vibration of the vehicle-road system will be induced because of the road unevenness. To simplify the analysis, the vehicle-road system was first divided into a vehicle subsystem above and a road subsystem below, then the 2 subsystems coupled with each other to form a complete system. The vehicle-road dynamic model consisted of a 4-DOF 1/2 vehicle model and an elastic multi-layer finite element road model, and they coupled through the displacement compatibility between the tires and the pavement. The dynamic equilibrium equations for the system were formulated and the decoupling method for the equations was discussed. Several theoretical indices reflecting the road design parameters and the vehicle operation quality were proposed, which provided theoretical basis and solving rationale for the systematic study of relationship between the vehicle operation quality and road design parameters. Furthermore, numerical results of the examples give comparative evaluation of the traveling quality indices of the 2 typical pavement structures of asphalt concrete and cement concrete, making a useful reference for the design and analysis of different pavement structures.
•  [1] Cebon D, Winkler C B. A study of road damage due to dynamic wheel loads using a load measuring mat[R]. Washington DC: Strategic Highway Research Program, National Research Council, 1991. [2] Henry J J, Wambold J C.Vehicle, Tire, Pavement Interface[M]. Philadelphia: American Society for Testing and Materials International, 1992. [3] Hardy M S A, Cebon D.Response of continuous pavements to moving dynamic loads[J].Journal of Engineering Mechanics,1993,119(9): 1762-1780. [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] 邓学钧, 孙璐. 车辆-地面结构系统动力学[M]. 北京: 人民交通出版社, 1998.(DENG Xue-jun, SUN Lu.Dynamics of Vehicle-Ground Pavement Structure System[M]. Beijing: China Communications Press, 1998.(in Chinese)) [6] 徐斌, 郑钢铁, 范轶, 刘强. 道路破坏的影响因素及悬架参数优化[J]. 汽车工程, 2000,22(6): 408, 418-422.(XU Bin, ZHENG Gang-tie, FAN Yi, LIU Qiang. The elements influencing the road damage and the optimization of suspension parameters[J].Automotive Engineering,2000,22(6): 408, 418-422.(in Chinese)) [7] 吕彭民, 尤晋闽, 和丽梅. 路面随机不平度下车辆对路面的动载特性[J]. 交通运输工程学报, 2007,7(6): 55-58, 69.(L Peng-min, YOU Jin-min, HE Li-mei. Vehicle dynamic load property resulted from road random roughness[J].Journal of Traffic and Transportation Engineering,2007,7(6): 55-58, 69.(in Chinese)) [8] 葛剑敏, 郑联珠. 路面特性对车辆振动影响规律研究[J]. 中国公路学报, 2004,17(3): 117-121.(GE Jian-min, ZHENG Lian-zhu. Effects of terrain characteristic on vehicle vibration[J].China Journal of Highway and Transport,2004,17(3): 117-121.(in Chinese)) [9] 申永刚, 张治成, 谢旭. 复杂场地车辆引起的环境振动[J]. 浙江大学学报(工学版), 2008,42(6): 1089-1096.(SHEN Yong-gang, ZHANG Zhi-cheng, XIE Xu. Environmental vibration induced by vehicle in complicated field[J].Journal of Zhejiang University (Engineering Science),2008,42(6): 1089-1096.(in Chinese)) [10] 罗红, 梁波, 苏世毅. 车辆-道路系统垂向耦合动力分析模型[J]. 重庆交通大学学报(自然科学版), 2008,27(5): 803-805, 811.(LUO Hong, LIANG Bo, SU Shi-yi. Dynamic analysis on vehicle-road vertical coupled system[J].Journal of Chongqing Jiaotong University (Natural Science),2008,27(5): 803-805, 811.(in Chinese)) [11] 苏世毅, 梁波. 地基刚度变化对车辆动力特性的影响[J]. 后勤工程学院学报, 2008,24(2): 9-13.(SU Shi-yi, LIANG Bo. Dynamic analysis of vehicle-road vertical coupled system on rough road[J].Journal of Logistical Engineering University,2008,24(2): 9-13.(in Chinese)) [12] 刘晶波, 杜修力. 结构动力学[M]. 北京: 机械工业出版社, 2004.(LIU Jing-bo, DU Xiu-li.Dynamics of Structures[M]. Beijing: China Machine Press, 2004.(in Chinese)) [13] 吴志华. 基于车辆-道路耦合系统下的道路友好特性研究[D]. 硕士学位论文. 重庆: 重庆交通大学, 2010.(WU Zhi-hua. The study about road friendliness characteristic basing on vehicle-road coupled system[D]. Master Thesis. Chongqing: Chongqing Jiaotong University.(in Chinese)) [14] 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)) [15] Cebon D. Interaction between heavy vehicles and roads[R]. The Thirty-Ninth L.Ray Buckendale Lecture. SAE 930001（SEA/SP-93/951）, USA: Society of Automotive Engineers, 1993. [16] 任卫群. 车-路系统动力学中的虚拟样机——MSC.ADAMS软件应用实践[M]. 电子工业出版社, 2005.(REN Wei-qun.The Virtual Prototype of Vehicle-Road System Dynamics—MSC.ADAMS Application and Practice[M]. Publishing House of Electronics Industry, 2005.(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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