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research-article

On the singularity theory applied in rail vehicle bifurcation problem

[+] Author and Article Information
Hao Dong

Department of mechanical engineering, Chengdu University, China
fusiji@my.swjtu.edu.cn

Bin Zhao

Department of mechanical engineering, Chengdu University, China
xyqy26@outlook.com

J.H. Xie

School of mechanics and engineering, Southwest jiaotong University, China
jhxie2000@126.com

1Corresponding author.

ASME doi:10.1115/1.4038991 History: Received March 30, 2017; Revised December 13, 2017

Abstract

The application of Hopf bifurcation is essential to rail vehicle dynamics because it corresponds to the linear critical speed. In engineering, researchers always wonder which vehicle parameters are sensitive to it. Usually the numerical method is applied to solve it with one by one parameter trying. With the nonlinear singularity theory's development, it has been widely applied in many other engineering areas. This paper mainly studies the singularity theory applied in nonlinear rail vehicle dynamics. Firstly, the bifurcation norm forms of wheelset and bogie system are respectively deduced. Then the universal unfolding is obtained and the influences of perturbation on bifurcation are investigated. By the analysis of a simple bar-spring system, the relationship between the unfolding and original perturbation parameters can be found. But this may be difficult to calculate for the case in vehicle system because of higher DOFs and indicate that can explain the influence of all potential parameters perturbations on vehicle bifurcation.

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