Stability analysis of the car-trailer system with a time-delayed tyre model

S. Beregi, D. Takács, G. Stépán, D. A.W. Barton

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

Abstract

In this paper we investigate the dynamics of towed vehicles by means of two examples, the car-trailer combination and a towed trailer, both represented by the so-called single track model. The effect of tyre deformation is considered with the help of the brush tyre model. In our analysis we take into account the so-called ‘memory effect’ in the tyre-ground contact patch too, which leads to delay differential equations with distributed time-delay as governing equations. The stability of the rectilinear motion is analysed by means of stability charts with respect to the vehicle parameters. For the towed trailer we also performed nonlinear analysis which enabled us to capture the Hopf bifurcations emerging at the stability boundaries. These were compared with numerical simulation, where we studied the effect of lateral tyre-slip, too.

Original languageEnglish
Title of host publicationThe Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015
EditorsMartin Rosenberger, Klaus Six, Manfred Plöchl, Johannes Edelmann
PublisherCRC Press/Balkema
Pages643-652
Number of pages10
ISBN (Print)9781138028852
DOIs
Publication statusPublished - Jan 1 2016
Event24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 - Graz, Austria
Duration: Aug 17 2015Aug 21 2015

Publication series

NameThe Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015

Other

Other24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015
CountryAustria
CityGraz
Period8/17/158/21/15

Keywords

  • Car-trailer lateral-stability
  • Memory effect in tyres
  • Nonlinear analysis
  • Self-excited vibrations
  • Tyre/road interaction

ASJC Scopus subject areas

  • Automotive Engineering
  • Mechanical Engineering

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  • Cite this

    Beregi, S., Takács, D., Stépán, G., & Barton, D. A. W. (2016). Stability analysis of the car-trailer system with a time-delayed tyre model. In M. Rosenberger, K. Six, M. Plöchl, & J. Edelmann (Eds.), The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 (pp. 643-652). (The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015). CRC Press/Balkema. https://doi.org/10.1201/b21185-69