Comparisons of Multiple-Impact Laws For Multibody Systems: Moreau’s Law, Binary Impacts, and the LZB Approach
Résumé
This chapter is dedicated to comparisons of three well-known models that apply to multiple (that is, simultaneous) collisions: Moreau’s law, the binary collision law, and the LZB model. First, a brief recall of these three models and the way in which their numerical implementation is done. Then, an analysis based on numerical simulations, in which the LZB outcome is considered as the reference outcome, is presented. It is shown that Moreau’s law and the binary collision model possess good prediction capabilities in some few “extreme” cases. The comparisons are made for free chains of aligned grains, and for chains impacting a wall. The elasticity coefficient, coefficients of restitution, mass ratios and contact equivalent stiffnesses are used as varying parameters.
Domaines
Mécanique [physics.med-ph]
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