inria-00476398, version 1
Higher order event capturing time--stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts.
Applied Numerical Mathematics 62 (2012) 1259-1275
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Références bibliographiques
- Type de publication : Articles dans des revues avec comité de lecture
- Domaine :
Mathématiques/Systèmes dynamiques Informatique/Modélisation et simulation - Titre : Higher order event capturing time--stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts.
- 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.
- Langue du document : Anglais
- Titre de la revue :
Applied Numerical Mathematics (Appl. Numer. Math.) Publisher Elsevier ISSN 0168-9274 (eISSN : 0168-9274) - Date de publication : 2012
- Audience : internationale
- Editeur commercial : Elsevier
- Volume : 62
- Pagination : 1259-1275
- DOI : 10.1016/j.apnum.2012.06.026
- 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.
- Date de rédaction : 15/03/2010
- inria-00476398, version 1
- http://hal.inria.fr/inria-00476398
- oai:hal.inria.fr:inria-00476398
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- Soumis le : Lundi 26 Avril 2010, 12:37:10
- Dernière modification le : Mercredi 3 Octobre 2012, 09:37:30
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