Stability analysis of state dependent dynamic frictional sliding
Friction induced vibrations are often encountered both in everyday life (e.g., squealing brakes or doors) and in technological applications of interest (e.g., machine tool feed drives, bearings). Prediction of such effects in general circumstances requires rate dependence of the underlying friction model, as has been recognized by many researchers. In earlier work the authors have proposed a phenomenological kinetic friction model featuring viscous response to highly transient slip events, as well as fading memory of recent slip history. Encouraging predictions have been obtained using this model, both in single degree of freedom systems and in large deformation finite element simulations of slip instability in metal forming procedures. This work systematically examines the stability of constant velocity frictional sliding as predicted by this model, and attempts to characterize the types of instabilities that can be observed. Non-linear dynamic stability studies are presented for two systems: a single degree of freedom system governed by the proposed rate- and state-dependent frictional model, and a two degree of freedom system in which the coupling between the normal and tangential degrees of freedom is explicitly included. © 1997 Elsevier Science Ltd.
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