Deceleration of a Rigid Cylinder Sliding along a Viscoelastic Foundation

Abstract

The deceleration of an infinite rigid cylinder sliding along a surface of a viscoelastic halfspace is studied (the axis of the cylinder at plane-parallel motion is horizontal). It is assumed that there are no tangential stresses in the contact area. The distribution of contact pressures, the size of contact area, and the dependence of resistance force on the velocity of the cylinder axis are determined from the solution of a quasi-static problem in the theory of viscoelasticity. On the basis of the developed mathematical model, the features of deceleration process are qualitatively and numerically studied along with their dependence on the viscoelastic parameter of the foundation.