Dynamics of rigid bodies systems with unilateral or frictional constraints

Patrick Ballard (1)

1 LMS - Laboratoire de mécanique des solides

The classical theory of rigid bodies systems dynamics is extended into two directions. First, systematic formulation of the dynamics of systems undergoing perfect unilateral constraints is derived. The general admissible form of the impact constitutive equation is obtained. Well-posedness of the evolution problem is proved under the assumption that the data are analytic. Second, systematic formulation of systems undergoing frictional bilateral constraints is discussed. Well-posedness of the associated evolution problem is also demonstrated.

Mots clés: Analytical Dynamics; Non-smooth Mechanics; Impact; Friction

Domaines: Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Mécanique des solides [physics.class-ph]

Patrick Ballard. Dynamics of rigid bodies systems with unilateral or frictional constraints: Formulation And Well-Posedness. David Gao; Ray Ogden. Advances in Mechanics and Mathematics, Springer, pp.3-87, 2002, ⟨10.1007/978-1-4757-4435-4_1⟩. ⟨hal-00112294⟩