Conservative discretization of contact/impact problems for nearly rigid bodies

A discretization scheme for contact/impact problems related to modeling of gears is proposed. The problem is first discretized in time and then a vari ational formulation for the resulted one step problem is developed. A finit e element discretization completes the discretization process. The scheme i s a reinterpretation of the general Simo Laursen-Chavla algorithm in the co ntext of the rigid body motion superimposed with small elastic deformation; it conserves precisely the linear momentum and total energy, and approxima tely the angular momentum. The discretization method is illustrated with tw o numerical examples: the standard 1D impact problem for an elastic rod and a 2D model problem of an elastic wheel bouncing within a constraining box. (C) 2001 Elsevier Science B.V. All rights reserved.