Skip to main content

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 122))

Abstract

Cars riding on rough road surfaces possess critical speeds for which the vertical car vibrations become resonant. The paper investigates these effects in case of harmonic and stochastic base excitations. The investigations are extended to nonlinear dynamics to calculate Lyapunov exponents and rotation numbers for quarter car models with bilinear damping characteristics. In the nonlinear case there are critical parameter values of the wheel suspension where stationary car vibrations bifurcate into chaos and exponential growth behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Ammon, Modellbildung und Systementwicklung in der Fahrzeugdynamik, B.G. Teubner, Stuttgart, 1997.

    Google Scholar 

  2. W. V. Wedig and U. von Wagner, “Stochastic car vibrations with strong nonlinearities,” ASME 2001 Design Engineering Technical Conferences, September 9–12, Pittsburgh, PA, VIB-21605, pp. 1–7, 2001.

    Google Scholar 

  3. W. Wedig, “Dynamics of cars driving on stochastic roads,” (Proceedings of the fourth International Conference on Computational Stochastic Mechanics, Corfu, Greece, June 2002). In: Computational Stochastic Mechanics ed. by P.D. Spanos & G. Deodatis, Millpress, Rotterdam, pp. 647–654, 2003.

    Google Scholar 

  4. K. Popp and W. Schiehlen, Fahrdynamik, B.G. Teubner, Stuttgart, 1993.

    Google Scholar 

  5. J.D. Robson and C.J. Dodds, “Stochastic Road Inputs and Vehicle Response,” Vehicle System Dynamics 5, pp.1–13, 1975/76.

    Google Scholar 

  6. W. Wedig, “Characteristic Numbers — Vertical Dynamics of Cars Riding on Roads,” 6eme Congres de Mecanique, Mecanique des Solides, Tome I, Tanger, Maroc. Universite Abdelmalek Essaadi, Societe Marocaine des Sciences Mecanique, pp. 44–45, Avril 2003.

    Google Scholar 

  7. W. Hahn, Stability of Motion, Springer-Verlag, Berlin, 1967.

    Google Scholar 

  8. H. Hetzler, Stabilität eines nichtlinearen Schwingungssystems unter harmonischer und stochastischer Anregung. Diplomarbeit am Institut für Technische Mechanik der Universität Karlsruhe, Februar 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this paper

Cite this paper

Wedig, W.V. (2005). Vertical Dynamics of Riding Cars under Stochastic and Harmonic Base Excitations. In: Rega, G., Vestroni, F. (eds) IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics. Solid Mechanics and its Applications, vol 122. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3268-4_35

Download citation

  • DOI: https://doi.org/10.1007/1-4020-3268-4_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3267-7

  • Online ISBN: 978-1-4020-3268-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics