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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 110
PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Paper 84

A Numerical Algorithm for Modelling Dynamics of Oscillating Bogies

E.S. Sytov1, I.V. Kuznetzov1, A.S. Bratus1 and D. Yurchenko2

1Moscow Institute of Information and Transport, Moscow, Russia
2Heriot-Watt University, Edinburgh, United Kingdom

Full Bibliographic Reference for this paper
E.S. Sytov, I.V. Kuznetzov, A.S. Bratus, D. Yurchenko, "A Numerical Algorithm for Modelling Dynamics of Oscillating Bogies", in J. Pombo, (Editor), "Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 84, 2016. doi:10.4203/ccp.110.84
Keywords: limit cycle, bifurcation, vibration, Andronov-Hopf, bogie, hunting oscillation.

Summary
This paper includes a study of the effect of hunting oscillations in the dynamic behaviour of a bogie. These oscillations are associated with Andronov-Hopf bifurcation that leads to the appearance of limit cycle oscillations. The soft and hard types of instability related to the supercritical and subcritical Andronov-Hopf bifurcation are studied. A dynamic model of a bogie along with the rolling rail-wheel contact interaction and single wheel set is considered. The proposed numerical algorithm for calculating a critical speed of the bogie is based on the first Lyapunov number. The numerical algorithm is validated by analytical results, derived for a simple model.

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