Numerical simulation of finite dimensional multibody nonsmooth mechanical systems-Reference-Cited by-同舟云学术

Numerical simulation of finite dimensional multibody nonsmooth mechanical systems

Published:2002-03-01 Issue:2 Volume:55 Page:107-150
ISSN:0003-6900
Container-title:Applied Mechanics Reviews
language:en
Short-container-title:

Author:

Brogliato B¹,ten Dam AA²,Paoli L³,Ge´not F⁴,Abadie M⁵

Affiliation:

1. INRIA Rho^ne-Alpes, ZIRST Monbonnot, 655 avenue de l’Europe, 38334 Saint Ismier, France; Bernard.Brogliato@inrialpes.fr

2. National Aerospace Laboratory NLR, Department of Mathematical Models and Methods, Information and Communication Technology Division, PO Box 90502, 1006 Amsterdam, The Netherlands; tendam@nlr.nl

3. Universite´ Jean Monnet-St Etienne, Equipe d’Analyse Nume´rique UMR CNRS 5585, 23 rue du Dr Michelon, 42023 Saint Etienne cedex 2, France; paoli@anumsun1.univ-st.etienne.fr

4. INRIA Rocquencourt, BP 105, 78153 Le Chesnay cedex, France; Frank.Genot@inria.fr

5. Schneider Electric, Avenue des Jeux Olympiques, S2E, bureau 204 38000 Grenoble, France

Abstract

This review article focuses on the problems related to numerical simulation of finite dimensional nonsmooth multibody mechanical systems. The rigid body dynamical case is examined here. This class of systems involves complementarity conditions and impact phenomena, which make its study and numerical analysis a difficult problem that cannot be solved by relying on known Ordinary Differential Equation (ODE) or Differential Algebraic Equation (DAE) integrators only. The main techniques, mathematical tools, and existing algorithms are reviewed. The article utilizes 233 references.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/appliedmechanicsreviews/article-pdf/55/2/107/5439031/107_1.pdf

Reference162 articles.

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3. Paoli L and Schatzman M (1999), Moreau’s rule and the penalty method, Proc of IUTAM Symp on Unilateral Multibody Contacts, Kluwer, F Pfeiffer and Ch Glocker (eds), 35–44.

4. Paoli L and Schatzmann M (2001), Penalty approximation for non smooth constraints in vibroimpact, to J. Diff. Eqs. 177, 375–418. (Preprint de l’Equipe d’Analyse Nume`rique, UMR 5585 Maply, available at http://numerix.univ-lyonl.fr/publis/publiv/2000/publis.html)

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