On the equilibria and qualitative dynamics of a forced nonlinear oscillator with contact and friction
Résumé
After previous works related to the equilibrium states, this paper
goes deeper into the study of the eect of coupling between smooth and non-
smooth non-linearities on the qualitative behavior of low dimensional dynami-
cal systems. The non-smooth non-linearity is due to non-regularized unilateral
contact and Coulomb friction while the smooth one is due to large strains of
a simple mass spring system, which lead to a nonlinear restoring force. The
main qualitative dierences with the case of a linear restoring force are due to
the shape of the set of equilibrium states.