Dynamic analysis method of vehicle-track vertical coupled system based on transfer matrix method
ZHU Zhihui1,2, WANG Yingying1, GONG Wei1, FENG Qianshuo1
1.School of Civil Engineering, Central South University, Changsha 410075, China;
2.State Engineering Lab for High-speed Railway Construction Technology, Central South University, Changsha 410075, China
Abstract：To accurately and efficiently study the dynamic response of track structure induced by the high-speed train, considering the periodic characteristics of tracks, a convenient method of track structure modeling and solution based on transfer matrix method (TMM) is proposed in this paper. Firstly, according to the structural characteristics of the track structure, the periodic repeated parts of the ballast track and the CRTSⅡ slab ballastless track are divided into different cell units, and the stiffness equation assumption is introduced at the cell interface, then the transfer relationship between the cell interior and adjacent cells is deduced based on the dynamic equation of cellular structure. The state vector transfer model of the overall track structure is established. Finally, combined with the track structure boundary conditions and the wheel-rail interaction force, the direct integration method is used to solve the dynamic response of each cell. The vehicle model with 10 DOFs is adopted. Based on the wheel-rail linear Hertz contact model, the vehicle system and track structure are coupled by wheel-rail interaction force. Taking the high-speed train passing through the ballastless track structure as an example, the dynamic responses of the vehicle and the rail are calculated using the TMM and the Direct Stiffness Method (DSM). The results show that the proposed method can reduce the number of DOF of the track structure in the vehicle-track coupling system significantly, and has high computational accuracy and efficiency. It has the advantages of convenient modeling and can be effectively used in the dynamic response analysis of vehicle-track coupling system.
朱志辉1,2，王盈莹1，龚威1，冯乾朔1. 基于传递矩阵法的车辆-轨道垂向耦合系统动力分析方法[J]. 振动与冲击, 2022, 41(1): 31-38.
ZHU Zhihui1,2, WANG Yingying1, GONG Wei1, FENG Qianshuo1. Dynamic analysis method of vehicle-track vertical coupled system based on transfer matrix method. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(1): 31-38.
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