A brief review of modelling and simulation of three dimensional train system dynamics

Tianlong Wang, Pengfei Liu, Fan Xiang, Yu Liang


With the development of computer and software, the dynamic modeling and analysis of train system is more and more convenient and accurate. This paper summarizes these two problems of researchers through three-dimensional modeling and analysis. First, modeling of three-dimensional train dynamics, the factors considered in the model, and the results proved by the model are introduced and secondly, research on train dynamics under traction or braking conditions. Dynamic analysis software have multi-carriage train modeling and analysis functions, refreshers use these commercial software, added actual consideration of factors to the three-dimensional model, have solved reality problems effectively. 

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EI-Sibaie M. The latest developments of Impact and traction test technology. Guowen Song translated. Foreign railway vehicles 1995; (3):41–46.

Durali M, Shadmehri B. Nonlinear analysis of train derailment in severe braking. Journal of Dynamic Systems, Measurement, and Control 2003; 125: 48–53.

Durali M, Bahabadi MMJ. Investigation of train dynamics in passing through curves using a full model. Proceedings of the 2004 ASME/IEEE Joint Rail Conference, Maryland, USA, 2004.

Durali M, Jalili MM. Time saving simulation of long train derailment. Proceedings of IMECE, Boston, USA, 2008.

Plainer M, Kral C, Singer G. Investigation of the longitudinal dynamic effects before and after the derailment of a freight train. Proceedings of the 2004 ASME/IEEE Joint Rail Conference, Maryland, USA, 2004.

Jeong DY, Lyons ML, Orringer O, Perlman AB. Equations of motion for train derailment dynamics. Proceedings of the 2007 ASME Rail Transportation Division Fall Technical Conference, Chicago, USA, 2007.

Cole C, McClanachan M, Spiryagin M, Sun Y Q. Wagon instability in long trains, Vehicle System Dy-namics 2012; 50(Suppl.): 303–317.

Qing Wu, ShihuiLuo, Chongfeng Wei, Weihua Ma. Dy-namic Simulation Model of Coupler Buffer for Freight Locomotive. Journal of Traffic and Transportation Engineering; 2012:12(3): 37–43.

Liang Ling, Xinbiao Xiao, Xuesong Jin, Lei Wu, Shouqiao Zhong. Three Dimensional Modeling and Dynamic Analysis of High-Speed Train Composed of Multiple Vehicles Coupled with Ballast Track. 8th European Solid Mechanics, Graz, Austria, July 9–13, 2012.

Chen D. Derailment risk due to coupler jack-knifing under longitudinal buff force. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 2010;224: 483–490.

Zhang W H, Chi M R, Zeng J. A new simulation method for the train dynamics. 8th International Heavy Haul Conference, Rio de Janeiro, Brazil, 773–778, 2005.

Chi M R, Yiping Jiang, Zhang W H, etc. The Dynamics of Heavy Duty Train System. Journal of Traffic and Transportation Engineering, 2011; 11(3):34–40.

Liu P, Zhai Wand, Wang K. Establishment and verification of three-dimensional dynamic model for heavy-haul train–track coupled system. Vehicle System Dynamics 2016; 54(11): 1511–1537.

Liu P, Wang K. Effect of braking operation on wheel-rail dynamic interaction of wagons in sharp curve. Proc IMechE Part K: J Multi-body Dynamics 2017; 231(1) 252–265.

Xu ZQ, Ma WH, Wu Q, Luo SH. Coupler rotation behaviour and its effect on heavy haul trains. Vehicle system dynamics 2013;51( 12): 1818–1838.

Polach O. Creep forces in simulations of traction vehicles running on adhesion limit. Wear 2005;258: 92–100.

Polach O. A fast wheel-rail contact forces calculation computer code. Vehicle System Dynamics 1999; 33: 728–739.

Grassie SL, Elkins JA. Tractive effort, curving and surface damage of rails Part 1. Forces exerted on the rails. Wear 2005;258:1235–1244.

Zhang Z Y, Dhanasekar M. Dynamics of railway wagons subjected to braking torques on defective tracks. Vehicle System Dynamics 2012; 50(1): 109–131.

Handoko Y, Dhanasekar M. An inertial reference frame method for the simulation of the effect of longitudinal force to the dynamics of railway wheelsets. Nonlinear Dynamics 2006;45:399–425.

Handoko Y A. Investigation of the dynamics of railway bogies subjected to traction/braking torque. Thesis of Doctor of Philosophy of CQ University, 2006.

Suda Y, Grencik J. The Mechanism of Enhanced Curving Performance of Unsymmetric Suspension Trucks under Acting Traction/Brake Torque. Vehicle System Dynamics 1996;52(S1):629–640.

Yao Y, Zhang X, Zhang H. Dynamic performances of an innovative coupler used in heavy haul trains. Vehicle System Dynamics 2014 52(10):1288–1303.

Belforte P, Cheli F, Diana G, Melzi S. Numerical and experimental approach for the evaluation of severe longitudinal dynamics of heavy freight trains, Vehicle System Dynamics 2008; 46:937–955.

Pugi L, Rindi A, Ercole A G, Palazzolo A, Auciello J, Fioravanti D, Ignesti M. Preliminary studies concerning the application of different braking arrangements on Italian freight trains. Vehicle System Dynamics 2011;49(8):1339–1365.

Xin Zhao, Lixia Sun, Binbin Liu. Simulation Study on Safety of Passenger Locomotive Operation for 20,000t Heavy - duty Combined Trains. 2012; 33(S) 39–45.

Berghuvud, A., 2002. Freight car curving performance in braked conditions. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 2002;216(1):23–29.

Wilson N, Fries R, Witte M, Haigermoser A, Wrang M, Evans J and Orlova A. Assessment of safety against derailment using simulations and vehicle acceptance tests: a worldwide comparison of state-of-the-art assessment methods. Vehicle System Dynamics 2011; 49:1113–1157.

Yang LL, Kang Y, Luo SH, Fu MH. Assessment of the curving performance of heavy haul trains under braking conditions. Journal of Modern Transport, 2015, 23(3):169–175.

Zhang Z, Dhanasekar M. Dynamics of railway wagons subjected to braking/traction torque. Vehicle System Dynamics 2009;47(3):285–307.

User’s manual. Simulation of longitudinal dynamics. Universal Mechanism 7.0, 2012.

User’s manual. UM Train 3D Module. Universal Mechanism 7.0, 2012.


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