基于传递矩阵法的车辆-轨道垂向耦合系统动力分析方法  

Dynamic analysis method of vehicle-track vertical coupled system based on transfer matrix method

作　　者：朱志辉[1,2] 王盈莹 龚威 冯乾朔[1] ZHU Zhihui;WANG Yingying;GONG Wei;FENG Qianshuo(School of Civil Engineering,Central South University,Changsha 410075,China;State Engineering Lab for High-speed Railway Construction Technology,Central South University,Changsha 410075,China)

机构地区：[1]中南大学土木工程学院,长沙410075 [2]高速铁路建造技术国家工程实验室,长沙410075

出　　处：《振动与冲击》2022年第1期31-38,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(52078498,51678576);国家重点研发项目(2017YGB1201204)。

摘　　要：为准确高效求解车辆-轨道耦合系统动力响应,利用轨道结构的周期性特征,基于传递矩阵法(transfer matrix method,TMM)提出了一种便捷的轨道子系统建模和求解方法。该方法根据轨道系统结构特点,分别将有砟轨道和CRTSⅡ型无砟轨道系统的周期性重复部分划分为不同轨道元胞结构,在元胞结合面引入刚度方程假定,基于元胞结构动力方程推导元胞内部及相邻元胞间的传递关系,进而建立整体轨道子系统的状态矢量传递模型,最后结合轨道结构边界条件和轮轨间相互作用力,采用直接积分法求解轨道元胞结构的动力响应。车辆系统采用10自由度的车辆模型,并基于轮轨线性赫兹接触模型,通过轮轨相互作用力与轨道系统实现耦合。以高速动车通过无砟轨道结构为计算背景,对TMM和有限元直接刚度法(direct stiffness method,DSM)的计算结果进行对比分析。研究结果表明,该方法显著地降低了车-轨耦合系统中轨道子系统的自由度数目,具有较高的计算精度和计算效率,且建模便捷,可有效地用于车辆-轨道耦合系统的动力响应分析。Here,to accurately and efficiently solve dynamic response of vehicle-track coupled system,using periodic characteristics of track structure,a convenient modeling and solving method for track sub-system was proposed based on the transfer matrix method(TMM).According to structural characteristics of track system,periodic repeat parts of ballasted track system and CRTsⅡballastless track system were divided into different track cellular structures,respectively.The stiffness equation assumption was introduced on cell interface.Based on the cell structure dynamic equation,the transfer relation within cell and between adjacent cells was deduced,and then the state vector transfer model of the overall track subsystem was established.Finally,combined with boundary conditions of track structure and the interaction force between wheel and rail,dynamic response of track cellular structure was solved using the direct integration method.A 10-DOF vehicle model was adopted for vehicle system and was coupled with track system through wheel-rail interaction based on the wheel-rail linear Hertz contact model.High-speed train passing through ballastless track structure was taken as the calculation background,the calculation results of TMM and finite element direct stiffness method(DSM)were analyzed contrastively.The study results showed that the proposed method can significantly reduce the DOF number of track subsystem in vehicle-track coupled system,and have higher calculation accuracy and efficiency with easily modeling;it can be effectively used for dynamic response analysis of vehicle-track coupled system.

关 键 词：车辆-轨道耦合振动 传递矩阵法(TMM) 周期结构 动力响应 轮轨相互作用 

分 类 号：U213[交通运输工程—道路与铁道工程]