Skip to main content
SpringerLink
Log in

On the Structure of Multiple Impact Systems

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Multibody systems including impacts with friction possess a rich dynamical structure, mainly due to their non-smooth and therefore highly nonlinear characteristics together with the variety of multiple contact possibilities. Existing theories describe such situations efficiently and correctly as has been proven by many practical applications. It can be shown, that even in large multibody systems with many possible impacts very seldom two or more impacts occur at exactly the same time, usually impacts are separated from each other. From this it makes sense to consider in more detail the structure of one impact alone and to investigate the functional dependencies with respect to the initial magnitudes, namely normal and tangential relative velocities and normal and tangential impulses before an impact. This paper describes the theory and gives examples.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Moreau, J.J., Unilateral Contact and Dry Friction in Finite Freedom Dynamics, Non-smooth Mechanics and Applications, CISM-Courses and Lectures, 302, Springer Verlag, Vienna, 1988.

  2. Panagiotopoulos, P.D., Inequality Problems in Mechanics and Applications, Birkhäuser, Boston, 1985.

    Google Scholar 

  3. Brogliato, B., Nonsmooth Impact Mechanics. Springer Verlag, London, 1996.

    Google Scholar 

  4. Pfeiffer, F., ‘Applications of unilateral multibody dynamics’, Philosophical Transactions of the Royal Society 359(A), 2001, 2609–2628.

    Article  Google Scholar 

  5. Glocker, Chr., Dynamik von Starrkörpersystemen mit Reibung und Stößen. Fortschrittberichte VDI, Reihe 18, Nr. 182, VDI Verlag, Düsseldorf, 1995.

  6. Pfeiffer, F. and Glocker, Chr., Multibody Dynamics with Unilateral Contacts. Wiley, New York, 1996.

    Google Scholar 

  7. Beitelschmidt, M., Reibstöße in Mehrkörpersystemen. Fortschrittberichte VDI, Reihe 11, Nr. 275, VDI Verlag Düsseldorf, 1999.

  8. Pfeiffer, F., Measurements of Impacts with Friction. CMIS 2001 Portugal, Martins, Marques, Contact Mechanics, Kluwer Academic Publishers, Dordrecht, 2002, pp. 17–24.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Angewandte Mechanik, TU-Muenchen, Boltzmannstrasse 15, D-85748, Garching, Germany

    F. G. Pfeiffer & M. O. Foerg

Authors
  1. F. G. Pfeiffer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. O. Foerg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. G. Pfeiffer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pfeiffer, F.G., Foerg, M.O. On the Structure of Multiple Impact Systems. Nonlinear Dyn 42, 101–112 (2005). https://doi.org/10.1007/s11071-005-1910-4

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-005-1910-4

Keywords

Search

Navigation