Skip to main content

Regularization of 2D Frictional Contacts for Rigid Body Dynamics

  • Conference paper
IUTAM Symposium on Multiscale Problems in Multibody System Contacts

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 1))

Summary

Classic rigid body mechanics does not provide frictional forces acting in a 2D contact interface between two bodies during sticking. This is due to the statical undeterminacy related to this problem. Many technical systems, e.g. disk clutches, have such surface-to-surface contacts and it is sometimes desirable to treat them as rigid body systems despite the 2D contact. Alternatively, it is possible to model the systems using elastic instead of rigid bodies, but this might lead to certain drawbacks. A new regularization model of such 2D contacts between rigid bodies is proposed. It is based on the similarity to a material model for elasto-plasticity in continuum mechanics. Only dry friction is taken into account.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Dupont P, Hayward V, Armstrong B, Altpeter F (2002) IEEE Transactions on Automatic Control 47:787–792

    Article  MathSciNet  Google Scholar 

  2. Englisch A, Faust H, Friedmann O (2001) Proceedings of the Global Powertrain Congress, Detroit, Michigan

    Google Scholar 

  3. Glocker C (2001) Set-Valued Force Laws, Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  4. Kachanov L M (1971) Foundations of the Theory of Plasticity, North-Holland

    Google Scholar 

  5. Krueger A (2003) PhD Thesis, University of Karlsruhe, Germany

    Google Scholar 

  6. Lemaitre J, Chaboche J-L (2000) Mechanics of Solid Materials, Cambridge Univ. Press

    Google Scholar 

  7. McNamara S, García-Rojo R, Herrmann H (2005) Physical Review E 72:021304 1–11

    Article  Google Scholar 

  8. Palmov V A (1998) Vibrations of Elasto-Plastic Bodies, Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  9. Rossmann T, Pfeiffer F, Glocker C (1997) Proc. of the ASME Int. Mech. Eng. Congress and Exposition, Dallas, Texas

    Google Scholar 

  10. Vielsack P (1996) ZAMM 76:439–446

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this paper

Cite this paper

Stamm, W., Fidlin, A. (2007). Regularization of 2D Frictional Contacts for Rigid Body Dynamics. In: Eberhard, P. (eds) IUTAM Symposium on Multiscale Problems in Multibody System Contacts. IUTAM Bookseries, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5981-0_26

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-5981-0_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-5980-3

  • Online ISBN: 978-1-4020-5981-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics