A Numerical Algorithm for Modelling Dynamics of Oscillating Bogies

E. S. Sytov, I. V. Kuznetzov, A. S. Bratus, Daniil Iurchenko

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 railwheel 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.

Original languageEnglish
Title of host publicationProceedings of the Third International Conference on Railway Technology
Subtitle of host publicationResearch, Development and Maintenance
EditorsJ. Pombo
PublisherCivil-Comp Press
ISBN (Print)9781905088652
Publication statusPublished - 2016
Event3rd International Conference on Railway Technology: Research, Development and Maintenance 2016 - Cagliari, Italy
Duration: 5 Apr 20168 Apr 2016

Publication series

NameCivil-Comp Proceedings
PublisherCivil-Comp Press
ISSN (Print)1759-3433


Conference3rd International Conference on Railway Technology


  • Andronov-Hopf
  • Bifurcation
  • Bogie
  • Hunting oscillation
  • Limit cycle
  • Vibration

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Civil and Structural Engineering
  • Artificial Intelligence
  • Environmental Engineering


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