PLANAR IMPACT OF ROUGH COMPLIANT BODIES

A lumped parameter model of contact between colliding bodies is used to obtain the tangential force and energy dissipated by friction during oblique impact of rough compliant bodies in collinear configurations. For Coulomb's law of friction and an energetic coefficient of restitution, this analysis distinguishes between angles of incidence where the contact point initially sticks, slides before sticking or slides throughout the contact period. During part of the contact period tangential compliance significantly alters friction; this affects changes in relative velocity unless the angle of incidence is so large that there is continuous sliding in the initial direction. For oblique impact, tangential compliance reduces the largest friction force in comparison with friction generated if the contact region has negligible tangential compliance. While the part of the initial kinetic energy dissipated by friction is limited by the coefficient of restitution, this coefficient has no effect on the largest friction force generated during collision.