Author(s)

L. Paoli & M. Schatzmaif

Abstract

Dynamical impact problem with loss of energy: numerical study for large times. Application to a model of tight joints L. Paoli,* M. Schatzmaif "Equipe d ' Analyse Numerique, URA 740 CNRS, Universite de St. Etienne, France * Labor atoir e d 'Analyse Numerique, URA 740 CNRS, Universite Lyon 1, France 1. Introduction We consider a system with N degrees of freedom, whose motion is des- cribed by: w = /(f,%, 6) (1) and subject to constraints %(f) G A' (2) where A" is a closed smooth convex set of IR/ We assume that there is no dry friction, therefore at impacts the tangential velocity is conserved; however kinetic energy is lost at impacts as the normal velocity is reversed and multiplied by a restitution coefficient e G]0, 1]. Hence, we have the following impact law: u(t + 0) = ur(t - 0) - eitN(t - 0) if u(t) e dK (3) The equations (l)-(2)-(

Keywords