Study Of Multiple Impacts Of A Rigid Body With A Flat Surface

Abstract

Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ground confirms results from literature, and explores new cases. Numerical simulations can provide results in the study of the clattering impacts of a 3D body colliding with the ground. For a simplification of the analytical calculations, a rectangular plate without thickness is studied. In this case, a comparison between the numerical method, which is a continuous contact method, and the analytical method, which is a discrete method, is performed.