Journal of Applied Mechanics · 1992 · 306 citations · 0 references
EngineeringMechanical EngineeringPhysicsApplied MechanicsComputational MechanicsTribologyContact DynamicsContact MechanicsFriction ModelingImpact DynamicsImpact MechanicsMultibody DynamicsCollision DynamicsContact Impulse AnalysisDry Friction BehaviorImpact Contact DynamicsImpact ModelingMultibody Impact DynamicsRigid Body Contact MechanicsRigid-body Impact Modeling
Some rigid‑body impact methods violate energy conservation, producing solutions that increase system energy during an impact. This paper analyzes two‑dimensional rigid‑body collisions with dry friction. The authors use Routh’s graphical method to model the impact process, classify impact modes, derive analytical impulse expressions with Poisson’s and Newton’s restitution models, and introduce a new tangential impact class with zero initial approach velocity. The study shows that employing Poisson’s hypothesis, rather than Newton’s law, eliminates energy‑increasing anomalies, and that accurate identification of the contact mode is essential.
This paper presents an analysis of a two-dimensional rigid-body collision with dry friction. We use Routh’s graphical method to describe an impact process and to determine the frictional impulse. We classify the possible modes of impact, and derive analytical expressions for impulse, using both Poisson’s and Newton’s models of restitution. We also address a new class of impacts, tangential impact, with zero initial approach velocity. Some methods for rigid-body impact violate energy conservation principles, yielding solutions that increase system energy during an impact. To avoid such anomalies, we show that Poisson’s hypothesis should be used, rather than Newton’s law of restitution. In addition, correct identification of the contact mode of impact is essential.