Algebraic Solution To The Planar Rigid Body Impact Problem
Date
2011-07-14
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Mechanical Engineering
Abstract
For systems of rigid bodies that undergo impacts, a series of closed-form equations are developed to solve for post-impact velocities which simulate a real-world (energy-consistent) interaction. The analysis is based in the impulse domain, and requires that the surface interaction be characterizable by Coulomb friction and an energetic coefficient of restitution. No iteration, optimization, or numerical methods are used.