中文摘要：

研究了铁路车辆系统中存在的非线性因素,介绍了修正双步长显式法,给出了该算法的数学表达式。基于简化的非线性车辆系统动力学模型,利用铁路车辆系统中的5个典型非线性算例,对比分析了修正双步长显式法、Newmark法、Wilson-θ法、Runge-Kutta法、翟方法和精细积分法,指出了这些算法在非线性铁路车辆系统中的适用范围。研究结果表明：Newmark法和Wilson-θ法不适用于非线性铁路车辆系统;Newmark法、Wilson-θ法和Runge-Kutta法在包含非线性垂向轮轨力的车辆系统中会产生虚假振荡;仿真时间为2s,时间步长分别为0.4、0.1、0.01ms时,修正双步长显式法的耗时分别为0.198、0.829、7.772s,在6种算法中耗时最短或较短;当非线性铁路车辆系统的自由度较大时,推荐采用修正双步长显式法和翟方法。

英文摘要：

The nonlinear elements existing in railway vehicle system were studied,a corrected explicit method with double time steps was introduced,and the corresponding mathematical expressions were provided.Based on the simplified dynamics models of nonlinear railway vehicle system,five typical nonlinear examples of railway vehicle system were used to contrastively analyze the corrected explicit method with double time steps,Newmark method, Wilson-θmethod,Runge-Kutta method,Zhai method and the precise integration method,and the application scopes of the methods in nonlinear railway vehicle system were pointed out.Research result shows that Newmark method and Wilson-θmethod are not applicable for nonlinear railway vehicle system.Newmark method, Wilson-θ method and Runge-Kutta method can lead to spurious vibration in vehicle system including nonlinear vertical wheel-rail forces. When simulation time is 2sand time steps are 0.4,0.1,0.01 ms respectively,the consumed times of corrected explicit method with double time steps are respectively 0.198,0.829,7.772 sthat are the shortest or the shorter in six algorithms.When the degree of freedom for nonlinear railway vehicle system is larger,the corrected explicit method with double time steps and Zhai method are recommended to use.1tab,10 figs,20refs.