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. This work was supported by RFBR grant № 13-01-00655a and Russian President grant № НШ-4748.2012.8 for leading scientific schools.

collinear collision, coefficient of restitution, nonlinear dynamics

Theoretical and applied problems of mechanics