Nonlinear Dynamics

, Volume 92, Issue 1, pp 107–117 | Cite as

Hopf bifurcation analysis of railway bogie

  • Yong Yan
  • Jing Zeng
Original Paper


The railway bogie, the most important running component, has direct association with the dynamic performance of the whole vehicle system. The bifurcation type of the bogie that is affected by vehicle parameters will decide the behavior of the vehicle hunting stability. This paper mainly analyzes the effect of the yaw damper and wheel tread shape on the stability and bifurcation type of the railway bogie. The center manifold theorem is adopted to reduce the dimension of the bogie dynamical model, and the symbolic expression for determining the bifurcation type at the critical speed is obtained by the method of normal form. As a result, the influence of yaw damper on the bifurcation type of the bogie is given qualitatively in contrast to typical wheel profiles with high and low wheel tread effective conicities. Besides, the discriminant of bifurcation type for the wheel tread parameter variation is given which depicts the variation tendency of dynamics characteristics. Finally, numerical analysis is given to exhibit corresponding bifurcation diagrams.


Railway bogie Hunting stability Hopf bifurcation Yaw damper Wheel tread 



This work has been supported by the National Natural Science Foundation of China (Grant No. 51475388) and National Key R&D Program of China (2016YFB1200500).


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© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  1. 1.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduPeople’s Republic of China

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