Author(s)

Harry Dankowicz

Abstract

A five-dimensional dynamical model of friction is proposed based on a macro- scopic description of the interactions between nominally flat surfaces. In partic- ular, dynamical contacts between surface in homogeneities result in coupling be- tween the tangential motion and the separation of the surfaces and corresponding variations in interfacial forces. The model is shown to exhibit qualitative agreement with experimentally observed properties of dynamical friction. For example, an apparent dependence of the friction force on tangential velocity is deduced albeit not a priori assumed. Moreover, hysteretic behavior in the quasi-static case due to micro-slip, as well as in the fully dynamical case, is observed. Finally, the appearance of stick-slip os- cillations is found to be associated with a Hopf bifurcation from the steady

Keywords