车辆-轨道垂向耦合系统求解过程的改进算法

考虑到轨道结构长度随系统响应持时的增加而增长，提出了一种改进的车辆 轨道垂向耦合系统的动力响应求解算法.该算法事先选定某一定长度的轨道结构，并获得该轨道结构的质量矩阵、阻尼矩阵和刚度矩阵；通过在求解过程中不断地对车辆子系统定位，判断是否需要对车辆子系统的位置和轨道结构的响应矩阵进行调整，以此来达到仅增加系统响应持时而不增加轨道结构长度的目的.算例表明:该改进加快算法是精确、高效的，不仅可以真实地模拟车辆在轨道上的前进运行状态，而且可以保证轨道子系统的轨道单元数量不随系统响应持时的增加而增长，这为快速求解车辆 轨道垂向耦合系统提供了一种有效的计算方法.

An Improved Algorithm for Solving Dynamic Responses of Vehicle-Track Vertically Coupled Systems

Since the track structure length would increase with the system response duration, an improved algorithm for solving the dynamic responses of the vehicle-track vertically coupled system was proposed. In this algorithm, a certain length of the track structure was selected in advance, and the mass matrix, the damping matrix and the stiffness matrix of the track structure can be obtained. During the solution process, the position of the vehicle subsystem was continually determined, meanwhile, it was judged whether the position of the vehicle subsystem and the response matrix of the track structure shall be adjusted so as to achieve the goal of only increasing the system response duration without increasing the track structure length. The numerical results show that, the improved algorithm is of high accuracy and efficiency in realistic simulation of the forward movement of the train on the track, and ensures that the number of elements in the track subsystem does not increase with the system response duration, making an applicable method for solving the dynamic responses of vehicle-track vertically coupled systems.