A Fixed Time-Step Approach for Multibody Dynamics with Contact and Friction

TitleA Fixed Time-Step Approach for Multibody Dynamics with Contact and Friction
Publication TypeReport
Year of Publication2003
AuthorsAnitescu, M
Date Published03/2003
Other NumbersANL/MCS-P1034-0303
Abstract

We present a fixed time-step algorithm for the simulation of multi-rigid-body dynamics with joints, contact, collision, and friction. The method solves a linear complementarity problem (LCP) at each step. We show that the algorithm can be obtained as the stiff limit of fixed time-step schemes applied to regularized contact models. We do not perform collision detection. Instead, a noninterpenetration constraint is replaced by its linearization, which, together with a judicious choice of the active constraints, guarantees geometrical constraint stabilization without the need to perform a reduction of the time step to detect new collision or stick-slip transition events. Partially elastic collisions are accommodated by a suitable modification of the free term of the LCP.

PDFhttp://www.mcs.anl.gov/papers/P1034.pdf