A numerical method for friction problems with multiple contacts

Author:

Stewart David E.

Abstract

AbstractFriction problems involving “dry” or “static” friction can be difficult to solve numerically due to the existence of discontinuities in the differential equations appearing in the right-hand side. Conventional methods only give first-order accuracy at best; some methods based on stiff solvers can obtain high order accuracy. The previous method of the author [16] is extended to deal with friction problems involving multiple contact surfaces.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference19 articles.

1. [17] Stewart D. E. , “High accuracy methods for solving ordinary differential equations with discontinuous right-hand side”, Ph. D. Thesis, University of Queensland, St. Lucia, Queensland 4072, Australia, 1990.

2. [12] Kastner-Maresch A. , “Diskretisierungsverfahren zur lösung von differentialinklusionen”, Ph. D. Thesis, Universität Bayreuth, 1990.

3. Differential equations with discontinuous right-hand side;Filippov;Amer. Math. Soc. Transl.,1964

4. Converging multistep methods for initial value problems involving multivalued maps

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