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On the nonlinear hunting stability of a high-speed train bogie

Bustos, A., Tomas-Rodriguez, M. ORCID: 0000-0001-9630-9579, Rubio, H. & Castejon, C. (2022). On the nonlinear hunting stability of a high-speed train bogie. Nonlinear Dynamics, doi: 10.1007/s11071-022-07937-y


The hunting phenomenon is an intrinsic swaying motion appearing in railway vehicles due to the vehicle’s forward speed and the wheel–rail contact forces. Hunting motion consists of wheelset and other vehicle’s components oscillations that arise above a certain vehicle’s speed known as critical or hunting speed. These oscillations are of unstable nature and represent a safety hazard as they could lead to the vehicle’s derailment. This article analyses the stability of a bogie nonlinear model for a Spanish high-speed train when this is travelling at speeds near the hunting speed. The vehicle’s stability is studied by means of root loci methods, and the value of the critical speed is found. In addition to this, the behaviour of the vehicle is studied in both stable and unstable regions and the existence of limit cycles is discussed in this work. Finally, a sensitivity analysis of the axle load and suspension parameters is performed. The results show that the axle load, the vertical stiffness of the primary suspension and the lateral damping of the secondary suspension have a significant influence on the value of the critical speed.

Publication Type: Article
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
Publisher Keywords: Nonlinear system, High-speed train, Vehicle stability dynamics, Numerical simulation
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TF Railroad engineering and operation
T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology > Engineering
Text - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

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