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Leine, R.I., Le Saux, C. and Glocker, Ch.

Friction models for the rolling disk

Proceedings of the ENOC 2005 Conference, ISBN 90 386 2667 3, August 7 - 12, 2005, Eindhoven, Ed. D.H. van Campen, M.D. Lazurko, W.P.J.M. van den Oever

Abstract

In this paper we are interested in the dynamics and numerical treatment of a rolling disk on a flat support. The objective of the paper is to develop a numerical model which is able to simulate the dynamics of a rolling disk taking into account frictional resistance against sliding, pivoting and rolling. A mechanical model of a rolling disk is presented in the framework of Non-smooth Dynamics. In an analytical study, approximations are derived for the energy decay of the system during the final stage of the motion for various kinds of frictional dissipation models. Finally, the numerical and analytical results are discussed and compared with experimental results available in literature.

27.01.06 | compiled by Stephan Kaufmann | ZfM | ETH