Journal article
Finite-dimensional contact mechanics
Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, Vol.359(1789), pp.2467-2482
12/15/2001
DOI: 10.1098/rsta.2001.0904
Abstract
In this paper, the continuous and numerical formulations of rigidbody dynamics based on measure differential inclusions and timestepping methods recently developed are described and extended to include a finite number of elastic modes of vibration. The time-stepping methods already incorporate Coulomb friction, and are able to handle situations such as Painlev's famous problem where impulsive forces occur without a collision. The elastic modes of vibration can be incorporated directly into the continuous formulation, but due to the stiffness typical of elastic vibrations, the numerical methods used need to be modified to incorporate them directly. The resulting numerical methods are dissipative in the limit, but only dissipate energy while there is contact.
In this paper, the continuous and numerical formulations of rigidbody dynamics based on measure differential inclusions and timestepping methods recently developed are described and extended to include a finite number of elastic modes of vibration. The time-stepping methods already incorporate Coulomb friction, and are able to handle situations such as Painlev's famous problem where impulsive forces occur without a collision. The elastic modes of vibration can be incorporated directly into the continuous formulation, but due to the stiffness typical of elastic vibrations, the numerical methods used need to be modified to incorporate them directly. The resulting numerical methods are dissipative in the limit, but only dissipate energy while there is contact.
Details
- Title: Subtitle
- Finite-dimensional contact mechanics
- Creators
- David E Stewart - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, Vol.359(1789), pp.2467-2482
- Publisher
- The Royal Society
- DOI
- 10.1098/rsta.2001.0904
- ISSN
- 1364-503X
- eISSN
- 1471-2962
- Language
- English
- Date published
- 12/15/2001
- Academic Unit
- Mathematics
- Record Identifier
- 9984241048602771
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