客车系统非线性横向稳定性的分叉方法研究

Nonlinear Lateral Stability Analysis of Passenger Coach System Using Bifurcation Method

本文首先从理论上叙述了铁道车辆系统非线性蛇行运动稳定性的求解方法。通过研究车辆系统常微分方程的一次近似方程的雅可比矩阵的特征值，来确定系统的Ｈｏｐｆ分叉值即临界速度。系统分叉后的周期解则采用数值积分方法来求解。最后，本文对一高速客车系统的横向稳定性问题进行了分析计算。

First of all , the nonlinear hunting stability solution method of railway vehicles is described theoretically. The Hopf bifurcation point,i.e,the critical velocity of vehicle system can be determined by studying the eigenvalues of jacobi matrix of the first order approximation equations of ordinary differential equations. The bifurcated periodie solution of the system is solved by use of numerical integration method. Finally,the lateral stability problems of a high speed passenger coach are analysed and Calculated.