Stability of discrete systems involving shocks and friction

Patrick Ballard (1) , Alain Léger (1) , Elaine Pratt (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

The stability of the equilibrium states of a simple mechanical system with unilateral contact and Coulomb friction is explored. When the external force is constant, the equilibrium states are completely determined by the mechanical properties of the system and the stability or instability of each of these states is proved. When the external force varies in time two stability results are given.

Domaines: Mécanique des structures [physics.class-ph]

Patrick Ballard, Alain Léger, Elaine Pratt. Stability of discrete systems involving shocks and friction. Conference CMIS on Contact Mechanics, Jul 2005, Hannover, Germany. pp.343-351, ⟨10.1007/3-540-31761-9_38⟩. ⟨hal-00106845⟩