Archive for Rational Mechanics and Analysis

, Volume 154, Issue 3, pp 199–274 | Cite as

The Dynamics of Discrete Mechanical Systems with Perfect Unilateral Constraints

  • Patrick Ballard


The dynamics of discrete mechanical systems with perfect unilateral constraints is formulated in a very general setting. The well-posedness of the resulting evolution problem is studied. It is proved that existence and uniqueness of a maximal solution is ensured provided strong assumptions are made on the regularity of the data: they are supposed to be analytic. Simple examples show that this regularity assumption may not be relaxed. Sufficient conditions to ensure that the maximal solution is defined for all time are supplied. The continuous dependence of the solution on initial conditions is also studied and the numerical computation of the solution is discussed.


Numerical Computation General Setting Mechanical System Strong Assumption Evolution Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Patrick Ballard
    • 1
  1. 1.Laboratoire de Mécanique des Solides¶Ecole Polytechnique¶91128 Palaiseau Cédex¶France¶e-mail: ballard@lms.polytechnique.frFR

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