A time‐stepping method for non‐smooth mechanical systems

Abstract

Time‐stepping algorithms allow a robust simulation of dynamical problems with many unilateral constraints and friction. It's idea is to calculate velocity updates instead of accelerations. As a consequence, contact behaviour and impact can be treated by the same equations. The unilateral constraints are modelled by set‐valued force laws. The resulting inequalities can be solved by writing inclusions as non‐linear equations. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)