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Abstract: On Dynamic Multi-Rigid-Body Contact Problems with Coulomb Friction
On Dynamic Multi-Rigid-Body Contact Problems with Coulomb Friction
J.C. Trinkle
J.S. Pang
S. Sudarsky
G. Lo
Zeithschrift fur Angewandte Mathematik und Mechanik, accepted
© 1996 ZAMM.
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Abstract:
This paper is a summary of a comprehensive study of the problem of
predicting the accelerations of a set of rigid, three-dimensional
bodies in contact in the presence of Coulomb friction. We begin with a
brief introduction of this problem and its governing equations. This
is followed by the introduction of complementarity formulations for
the contact problem under two friction laws: Coulomb's Law of
quadratic friction and an approximated pyramid law. Existence and
uniqueness results for the complementarity problems are
presented. Algorithms for solving these problems are proposed and
their convergence properties are discussed. Computational results are
presented and conclusions are drawn.
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