Unilateral Contact with Bounces

  • S. Durand


The aim of the study is to take in interest in the dynamic behaviour of rigid body systems in unilateral contact with friction. The friction law is the law of Coulomb. Which are the parameters which determine the transition between a smooth motion and a motion with collisions ? In order to obtain some elements of answer, we study a simple system with two degrees of freedom. The system may be seen as a model of an elastic rod drawn on the ground. It results from our study that bounces occur if the friction coefficient is greater than a critical value.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Chateau, X., and Nguyen, Q.S., 1991, Buckling of elastic structures in unilateral contact with or without friction, Eur. J. Mech. A/Solids, 10, n°1Google Scholar
  2. Klarbring, A., 1990, Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction, Ingenieur-Archiv 60, 529–541Google Scholar
  3. Martins, J.A.C., Monteiro Marques, M.D.P., and Gastaldi, F., 1994, On an example of nonexistence of solution to a quasistatic frictional contact problem, Eur. J. Mech. A/Solids, 13, n°1Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • S. Durand
    • 1
  1. 1.Laboratoire de Mécanique des SolidesEcole PolytechniquePalaiseau CedexFrance

Personalised recommendations