Numerical simulation of the dynamics of an impacting bar

Laetitia Paoli (1) , Michelle Schatzman (2)

1 LA MUSE - Laboratoire de Mathématiques Unifiées de Saint-Etienne
2 MAPLY - Laboratoire de Mathématiques Appliquées de Lyon

We calculate numerically the motion of a slender bar dropped on a rigid foundation. For the computation the bar is discretized by a system of rigid bodies linked by spiral springs or by a pair of linear springs. We assume that the impact is frictionless and we model it by Newton's law. We compute the motion by using either an event-driven method based on the detection of impacts or a time-stepping scheme avoiding the detection of impacts. We calculate also the apparent restitution coefficient and we compare our results with the experimental and numerical results of Stoianovici and Hurmuzlu.

Mots clés: Dynamics of discrete mechanical systems; Frictionless unilateral constraints; Microimpacts; Restitution coefficient; Event-driven scheme; Time-stepping scheme

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Dynamique, vibrations; Structures

Laetitia Paoli, Michelle Schatzman. Numerical simulation of the dynamics of an impacting bar. Computer Methods in Applied Mechanics and Engineering, 2007, 196 (29-30), pp.2839 - 2851. ⟨10.1016/j.cma.2006.11.024⟩. ⟨hal-01635192⟩