Terminal movement of the thin elliptical plate on the horizontal plane with orthotropic friction

Abstract

In a number of engineering problems friction forces can vary significantly depending on the direction of sliding. This research deals with orthotropic friction. The presented model describes final motion of the thin elliptical plate on the horizontal plane. The system of differential equations, which describe dynamical behavior of the plate, is solved numerically for different initial conditions. Final movement of the plate depends from interrellations between the moment of inertia, friction coefficients and plate orientation. The comparison of the motion of elliptical and circle plates is presented. It is shown that sliding and spinning end simultaneously for both types of plates. The results may be used for more accurate simulations of railway contact. Refs 14. Figs 3. Tables 2.