Friction and instability of steady sliding: squeal of a rubber/glass contact

The dynamic instability of steady sliding states of nite-dimensional frictional contact systems with non-linear elastic behaviour is analysed. An algorithm for the computation of those steady sliding states and a su cient condition for their instability, based on the resolution of a generalized eigenvalue problem, are presented. Flutter instabilities due to the non-associative character of the Coulomb friction law are shown to occur for a nite element model of a rubber-like waist seal sliding on a glass window that is known to generate squeal noise. The consequences of those utter instabilities are assessed by computing various nite element dynamic solutions in the neighbourhood of steady sliding