STABILITY ANALYSIS OF STATE-DEPENDENT DYNAMIC FRICTIONAL SLIDING

Friction induced vibrations are often encountered both in everyday lif e (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 eve nts, as well as fading memory of recent slip history. Encouraging pred ictions 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 systematicall y examines the stability of constant velocity frictional sliding as pr edicted by this model, and attempts to characterize the types of insta bilities that can be observed. Non-linear dynamic stability studies ar e presented for two systems: a single degree of freedom system governe d by the proposed rate- and state-dependent frictional model, and a tw o degree of freedom system in which the coupling between the normal an d tangential degrees of freedom is explicitly included. (C) 1997 Elsev ier Science-Ltd.