|Table of Contents|

Time integration algorithm in nonlinear railway vehicle system(PDF)

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2016年01期
Page:
88-94
Research Field:
载运工具运用工程
Publishing date:

Info

Title:
Time integration algorithm in nonlinear railway vehicle system
Author(s):
YANG Chao XIAO Shou-ne ZHU Tao
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China
Keywords:
vehicle engineering nonlinear system time integration method numerical simulation vertical dynamics
PACS:
U270.11
DOI:
-
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-θ method, 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-θ method 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 s that 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. 1 tab, 10 figs, 20 refs.

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Last Update: 2016-02-20