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inria-00476398, version 1

Higher order event capturing time--stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts.

Vincent Acary () a, 1

Applied Numerical Mathematics 62 (2012) 1259-1275

Résumé : The article is devoted to the study of higher order time integration methods for multibody systems with unilateral constraints. After a brief presentation of the mathematical modelling of nonsmooth multibody systems, several estimates on the local error of consistency of the Moreau time--stepping scheme are given. Based on these estimates, an attempt at an adaptive time--step strategy is presented with academic examples. Finally, higher order event--capturing methods are designed by coupling implicit Runge--Kutta schemes and Moreau's time--stepping scheme.

  • a –  INRIA
  • 1 :  BIPOP (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
  • INRIA – Laboratoire Jean Kuntzmann
  • Domaine : Mathématiques/Systèmes dynamiques
    Informatique/Modélisation et simulation
  • Mots-clés : Multibody systems – nonsmooth Mechanics – unilateral constraints – impact – Moreau's sweeping process – numerical integration scheme – Adaptive time--step strategy – order of accuracy – error estimates.
 
  • inria-00476398, version 1
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  • Contributeur : Vincent Acary <>
  • Soumis le : Lundi 26 Avril 2010, 12:37:10
  • Dernière modification le : Mercredi 3 Octobre 2012, 09:37:30