Nonlinear model of collinear collision taking into account dry friction

A nonlinear elastoplastic model of collinear body collision with a fixed obstacle is investigated. This model is constructed on the basis of Hertz and Hunt–Crossley. The first integrals of the motion equations during the phases of deformation and restitution are obtained. The coefficient of restitution and loss of the kinetic energy during the collision and their dependence on a constant dry friction are determined. The solution of body motion equations during collision in quadratures is obtained. The results of mathematical modeling are presented.