Journal article
AN IMPLICIT TIME-STEPPING SCHEME FOR RIGID BODY DYNAMICS WITH INELASTIC COLLISIONS AND COULOMB FRICTION
International journal for numerical methods in engineering, Vol.39(15), pp.2673-2691
08/15/1996
DOI: 10.1002/(SICI)1097-0207(19960815)39:15<2673::AID-NME972>3.0.CO;2-I
Abstract
In this paper a new time-stepping method for simulating systems of rigid bodies is given which incorporates Coulomb friction and inelastic impacts and shocks. Unlike other methods which take an instantaneous point of view, this method does not need to indetify explicitly impulsive forces. Instead, the treatment is similar to that of J. J. Moreau and Monteiro-Marques, except that the numerical formulation used here ensures that there is no inter-penetration of rigid bodies, unlike their velocity-based formulation. Numerical results are given for the method presented here for a spinning rod impacting a table in two dimensions, and a system of four balls colliding on a table in a fully three-dimensional way. These numerical results also show the practicality of the method, and convergence of the method as the step size becomes small.
Details
- Title: Subtitle
- AN IMPLICIT TIME-STEPPING SCHEME FOR RIGID BODY DYNAMICS WITH INELASTIC COLLISIONS AND COULOMB FRICTION
- Creators
- D. E Stewart - Texas A&M UniversityJ. C Trinkle - Texas A&M University
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.39(15), pp.2673-2691
- Publisher
- John Wiley & Sons, Ltd
- DOI
- 10.1002/(SICI)1097-0207(19960815)39:15<2673::AID-NME972>3.0.CO;2-I
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Number of pages
- 19
- Language
- English
- Date published
- 08/15/1996
- Academic Unit
- Mathematics
- Record Identifier
- 9984240862302771
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