Advertisement

Decomposition of Scalar Force Interactions

  • Ch. Glocker
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)

Abstract

In this paper we investigate one-dimensional force interactions, as they appear in multibody systems when force potentials are used. We present a decomposition of the force interactions leading to a classical continuous force law and a set-valued law which is expressed by a monotone step function. It is shown that the step function may be obtained by arranging unilateral primitives parallel to each other and in series, finally resulting in a complementarity formulation of the problem. As a result, combinations of unilateral primitives are recognized to be well-known force elements from practical applications.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Elstrodt, J.: Mass-und Integrationstheorie, Springer-Verlag, Berlin, 1996.zbMATHGoogle Scholar
  2. [2]
    Glocker, Ch.: The Principles of d’Alembert, Jourdain, and Gauss in Nonsmooth Dynamics. Part I: Scleronomic Multibody Systems, ZAMM 78(1) (1998), 21–37.MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    Glocker, Ch.: Dynamik von Starrkörper Systemen mit Reibung und Stössen, VDI-Fort-schrittb. Mechanik/Bruchmechanik, Reihe 18, Nr. 182, VDI-Verlag, Düsseldorf, 1995.Google Scholar
  4. [4]
    Moreau, J.J.: Unilateral Contact and Dry Friction in Finite Freedom Dynamics, Non-Smooth Mechanics and Applications, CISM Courses and Lectures, Vol. 302, Springer Verlag, Wien, 1988.Google Scholar
  5. [5]
    Moreau, J.J.: Bounded Variation in Time, Topics in Nonsmooth Mechanics, Birkhäuser Verlag, Basel, 1988.Google Scholar
  6. [6]
    Panagiotopoulos, P.D.: Hemivariational Inequalities. Applications in Mechanics and Engineering, Springer-Verlag, Berlin-Heidelberg, 1993.zbMATHCrossRefGoogle Scholar
  7. [7]
    Pfeiffer, F., and Glocker, Ch.: Multibody Dynamics with Unilateral Contacts, John Wiley & Sons, New York, 1996.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Ch. Glocker
    • 1
  1. 1.Lehrstuhl B für MechanikTechnische Universität MünchenGarchingGermany

Personalised recommendations