|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.

References:

[1] 赫 丹,向 俊,曾庆元.横风作用下的列车-轨道系统空间振动响应分析[J].中南大学学报:自然科学版,2010,41(3):1212-1216. HE Dan, XIANG Jun, ZENG Qing-yuan. Analysis on spatial vibration response of train-track system in cross-wind[J]. Journal of Central South University: Science and Technology, 2010, 41(3): 1212-1216.(in Chinese)
[2] 史 吏,蔡袁强,徐长节.轨道结构动力响应Newmark方法时间积分步长的确定[J].浙江大学学报:工学版,2014,48(2):228-235. SHI Li, CAI Yuan-qiang, XU Chang-jie. Time step length determination of Newmark method for dynamic responses of railway tracks[J]. Journal of Zhejiang University: Engineering Science, 2014, 48(2): 228-235.(in Chinese)
[3] 王少钦,夏 禾,郭薇薇,等.风荷载-列车-大跨度桥梁系统非线性耦合振动分析[J].北京交通大学学报,2012,36(3):36-40,46. WANG Shao-qin, XIA He, GUO Wei-wei, et al. Nonlinear coupling vibration analysis of wind load-train-long-span bridge system[J]. Journal of Beijing Jiaotong University, 2012, 36(3): 36-40, 46.(in Chinese)
[4] 张 健,谭述君,吴昌华.车辆-轨道非线性耦合动力学的精细积分法及其应用[J].振动与冲击,2012,31(8):5-10. ZHANG Jian, TAN Shu-jun, WU Chang-hua. A precise integration method for vehicle-track nonlinear coupling dynamics and its application[J]. Journal of Vibration and Shock, 2012, 31(8): 5-10.(in Chinese)
[5] ZHAI Wan-ming, WANG Kai-yun, CAI Cheng-biao. Fundam-entals of vehicle-track coupled dynamics[J]. Vehicle System Dynamics, 2009, 47(11): 1349-1376.
[6] COLE C, MCCLANACHAN M, SPIRYAGIN M, et al. Wagon instability in long trains[J]. Vehicle System Dynamics, 2012, 50(S): 303-317.
[7] NAEIMI M, ZAKERI J A, SHADFAR M, et al. 3D dynamic model of the railway wagon to obtain the wheel-rail forces under track irregularities[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2015, 229(4): 357-369.
[8] ZHOU H C, WANG W B, HECHT M. Three-dimensional override analysis of crashed railway multiple units[J]. Vehicle System Dynamics, 2012, 50(4): 663-674.
[9] DIAS J P, PEREIRA M S. Optimization methods for crashworthiness design using multibody models[J]. Computers and Structures. 2004, 82(17-19): 1371-1380.
[10] AMBRÓSIO J. Crash analysis and dynamical behaviour of light road and rail vehicles[J]. Vehicle System Dynamics. 2005, 43(6/7): 385-411.
[11] 吕和祥,于洪洁,裘春航.精细积分的非线性动力学积分方程及其解法[J].固体力学学报,2001,22(3):303-308. LU He-xiang, YU Hong-jie, QIU Chun-hang. An integral equation of nonlinear dynamics and its solution method[J]. Acta Mechanica Solida Sinica, 2001, 22(3): 303-308.(in Chinese)
[12] XIE Y M. An assessment of time integration schemes for non-linear dynamic equations[J]. Journal of Sound and Vibration, 1996, 192(1): 321-331.
[13] FACCHINETTI A, MAZZOLA L, ALFI S, et al. Mathem-atical modelling of the secondary airspring suspension in railway vehicles and its effect on safety and ride comfort[J]. Vehicle System Dynamics, 2010, 48(S): 429-449.
[14] SAYYAADI H, SHOKOUHI N. A new model in rail-vehicles dynamics considering nonlinear suspension components behavior[J]. International Journal of Mechanical Sciences, 2009, 51(3): 222-232.
[15] 吴兴文,池茂儒,朱旻昊,等.空气弹簧模型对铁道车辆动力学性能的影响[J].交通运输工程学报,2013,13(2):54-59. WU Xing-wen, CHI Mao-ru, ZHU Min-hao, et al. Influences of air spring models on dynamics performance of railway vehicle[J]. Journal of Traffic and Transportation Engineering, 2013, 13(2): 54-59.(in Chinese)
[16] 罗 仁,曾 京,邬平波.空气弹簧对车辆曲线通过性能的影响[J].交通运输工程学报,2007,7(5):15-18. LUO Ren, ZENG Jing, WU Ping-bo. Influence of air spring on curve negotiating property of vehicle[J]. Journal of Traffic and Transportation Engineering, 2007, 7(5): 15-18.(in Chinese)
[17] 陈 燎,周孔亢,李仲兴.空气弹簧动态特性拟合及空气悬架变刚度计算分析[J].机械工程学报,2010,46(4):93-98. CHEN Liao, ZHOU Kong-kang, LI Zhong-xing. Dynamic characteristics fitting of air springs and numerical analysis of air suspensions with variant stiffness[J]. Journal of Mechanical Engineering, 2010, 46(4): 93-98.(in Chinese)
[18] 苏荣华,彭晨宇.振动筛橡胶弹簧非线性刚度实验及仿真研究[J].应用基础与工程科学学报,2011,19(6):986-994. SU Rong-hua, PENG Chen-yu. Experiment and simulation research on nonlinear stiffness of vibrating screen rubber spring[J]. Journal of Basic Science and Engineering, 2011, 19(6): 986-994.(in Chinese)
[19] 杨 超,肖守讷,鲁连涛.基于双步长的显式积分算法[J].振动与冲击,2015,34(1):29-32,38. YANG Chao, XIAO Shou-ne, LU Lian-tao. Explicit integration algorithm based on double time steps[J]. Journal of Vibration and Shock, 2015, 34(1): 29-32, 38.(in Chinese)
[20] YANG Chao, XIAO Shou-ne, LU Lian-tao, et al. Two dynamic explicit methods based on double time steps[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2014, 228(3): 330-337.

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Last Update: 2016-02-20