Multi-Objective Optimization Study for the Turnout Sub-Rail Parameters Based on Orthogonal Experiment

Lu Yongjie*, 1, 2, Zhu Bowen3, Wang Jianxi4
1 Shijiazhuang Tiedao University, Shijiazhuang, Hebei, 050043, P.R. China
2 Key Laboratory of Traffic Safety and Control in Hebei, Shijiazhuang, Hebei, 050043, P.R. China
3 Taiyuan Railway Transportation Equipment CO., LTD, Taiyuan, Shanxi, 030009, P.R. China
4 Key Laboratory of Road and Railway Engineering Safety Control of Ministry of Education (Shijiazhuang Tiedao University), Shijiazhuang, Hebei, 050043, P.R. China

© 2014 Yongjie et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Shijiazhuang Tiedao University, Shijiazhuang, Hebei, 050043, P.R. China; Tel: +86 13513217835; E-mail:


The stiffness and damping characteristics under the turnout rail are important factors affecting vehicle safety and stable running. According to the variable cross-section structure of a single 60 kg/m turnout No.18, a multi-body dynamic model of the vehicle-turnout coupled system is established. Based on the orthogonal test method, 25 group working conditions have been designed with the combination of the sub-rail stiffness and damping parameters. It has been found that the stiffness parameters under the rail have a greater impact on the vehicle’s performance through the range analysis of the simulation results. The vertical sub-rail stiffness mainly influences the vehicle’s vertical response and Sperling indicator. The lateral stiffness affects the derailment coefficient and the riding comfort. The matching scheme of the sub-rail stiffness and damping parameters is deduced by aiming towards the optimal vehicle security, stability and comfort, which provides a reference for the sub-rail structure design.

Keywords: Multi-body dynamic, Orthogonal test, Sub-rail, Turnout, Vehicle, Orthogonal scheme, Optimization study.