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YANG Chao, XIAO Shou-ne, ZHU Tao. Time integration algorithm in nonlinear railway vehicle system[J]. Journal of Traffic and Transportation Engineering, 2016, 16(1): 88-94. doi: 10.19818/j.cnki.1671-1637.2016.01.011
Citation: YANG Chao, XIAO Shou-ne, ZHU Tao. Time integration algorithm in nonlinear railway vehicle system[J]. Journal of Traffic and Transportation Engineering, 2016, 16(1): 88-94. doi: 10.19818/j.cnki.1671-1637.2016.01.011
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Time integration algorithm in nonlinear railway vehicle system

doi: 10.19818/j.cnki.1671-1637.2016.01.011

  • State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

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    Abstract
  • 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 2 s and 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.

     

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