Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints

Patrick Ballard (1)

1 LMS - Laboratoire de mécanique des solides

The classical theory of rigid-body systems dynamics with perfect bilateral constraints is extended in order to take perfect unilateral constraints into account. A systematic formulation of the dynamics is derived and the most 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.

Mots clés: analytical dynamics; non-smooth mechanics; impact

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Dynamique, vibrations; Structures

Patrick Ballard. Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2001, 359 (1789), pp.2327-2346. ⟨10.1098/rsta.2001.0854⟩. ⟨hal-01722467⟩