Analytical prediction of bifurcation process in an adhesive rolling kinematic pair

Abstract

This paper presents analytical study on ambiguity of oscillatory motions of a nonautonomous mechanical system. The Coulomb model is interpreted in dependence of the dry fiction coefficient on the relative speed of the contacting surfaces, which makes the system nonlinear. There is pointed out possible occurrence of bifurcation splitting and its possible effects on the erosion of the contact rolling kinematic pair or on possible irregularities of adhesion transmission of the torque of driving rail vehicles.