Skip to main content

Wear profiles and the dynamical simulation of wheel-rail systems

  • Chapter
Progress in Industrial Mathematics at ECMI 96

Part of the book series: European Consortium for Mathematics in Industry ((ECMI,volume 9))

Abstract

Recently, a quasi-elastic model for the contact between two rigid bodies was introduced, that is tailored to the contact between a wheel with wear profile and a rail ([1]). This new approach to the geometrical description of wheel-rail contact is used successfully in the dynamical simulation of wheel-rail systems that have wheels with wear profiles. In the present paper we discuss the application of the quasi-elastic contact model in the dynamical simulation and the efficient numerical solution of the model equations.

The work of both authors has been supported by the German Federal Minister for Education, Science, Research, and Technology (grant FR7ROK).

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight 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. M. Arnold, K. Frischmuth, M. Hänler, and H. Netter. Differentialgleichungen und singuläre Mannigfaltigkeiten in der dynamischen Simulation von Rad-SchieneSystemen. In K.-H. Hoffmann et al., editors, Mathematik-Schlüsseltechnologie für die Zukunft,Springer-Verlag, Berlin Heidelberg New York, (in press).

    Google Scholar 

  2. M. Arnold and H. Netter. The approximation of contact conditions in the dynamical simulation of wheel-rail systems. Technical Report IB 515-96-08, German Aerospace Research Establishment, 1996.

    Google Scholar 

  3. J.J. Kalker. Three-Dimensional Elastic Bodies in Rolling Contact. Kluwer Academic Publishers, Dordrecht Boston London, 1990.

    Book  MATH  Google Scholar 

  4. K. Knothe and H. Le The. A contribution to the calculation of the contact stress distribution between two elastic bodies of revolution with non-elliptic contact area. Computers 6 Structures, 18: 1025 - 1033, 1984.

    Article  MATH  Google Scholar 

  5. J.P. Pascal. Benchmark to test wheel/rail contact forces. Technical report, INRETS Paris, 1990.

    Google Scholar 

  6. W. Rulka, A. Haigermoser, L. Mauer, and H. Netter. Anwendung moderner Auslegungsstrategien für Schienenfahrzeuge durch Einsatz des Simulationsprogramms SIMPACK. VDI Berichte Nr. 1219, Düsseldorf, 1995.

    Google Scholar 

  7. B. Simeon, C. Führer, and P. Rentrop. Differential-algebraic equations in vehicle system dynamics. Surveys on Mathematics for Industry, 1: 1 - 37, 1991.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 B. G. Teubner Stuttgart

About this chapter

Cite this chapter

Arnold, M., Netter, H. (1997). Wear profiles and the dynamical simulation of wheel-rail systems. In: Brøns, M., Bendsøe, M.P., Sørensen, M.P. (eds) Progress in Industrial Mathematics at ECMI 96. European Consortium for Mathematics in Industry, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96688-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-96688-9_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-322-96689-6

  • Online ISBN: 978-3-322-96688-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics