Analysis of a rigid body obliquely impacting granular matter

Abstract

The model of the oblique rigid body impact with a granular matter is studied. The force acting on the body is a linear superposition of a static (velocity-independent) friction force and a dynamic (velocity-dependent) resistance force. The impact of a sphere, a mathematical and a compound pendulum are modeled and simulated using different initial impact velocity conditions and different impact angles. We analyze how rapidly the rigid body impacting a granular media slows upon collision. For most of the analyzed cases the rigid body under high-force impact (higher initial velocity) comes to rest faster in a granular matter than the same body under low-force impacts (lower initial velocity). Researchers were able to explain this interesting phenomena, not shared by solids or liquids, for the vertical impact of spheres. The simulations for some configurations with small initial impact angles show that as the speed at which the rigid body impacts the media increases, the later it will come to rest.