Non-smooth numerical solution of frictional contact problems in multibody systems

CAVALIERI, FEDERICO J.; CARDONA, ALBERTO; COSIMO, ALEJANDRO; GALVEZ, JAVIER; BRÜLS, OLIVIER

Duisburg

Congreso; ECCOMAS Multibody Dynamics Conference 2019; 2019

University of Duisburg-Essen

This work presents a new formulation to deal with the frictional impact problem between a node and a planar rigid face in the field of non-smooth dynamics. The node and face can be attached, each one, to either flexible or rigid bodies. The regularization of the variational frictional contact problem is performed with a mixed approach based on an augmented Lagrangian technique and the Coulomb friction?s law. The method leads to an implicit formulation which can be solved at every time step using a Newton semi-smooth algorithm. The equations of motion are integrated with the non-smooth generalized−α time integration scheme, where the constraints are imposed both at position and velocity levels preventing any non-physical penetration. Additionally, the numerical results do not depend on the definition of any user-defined penalty parameter affecting the normal or tangential component of forces.