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Comparisons of multiple-impact laws for multibody systems: Moreau's law, binary impacts, and the LZB approach

Abstract : This chapter is dedicated to the comparison 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 of their numerical implementation is done. Then an analysis based on numerical simulations, where the LZB outcome is considered as the reference outcome, is made. 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, restitution coefficients, mass ratios and contact equivalent stiffnesses are used as varying parameters.
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Contributor : Bernard Brogliato <>
Submitted on : Friday, November 23, 2018 - 10:24:56 AM
Last modification on : Thursday, November 19, 2020 - 1:08:04 PM

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Ngoc Son Nguyen, Bernard Brogliato. Comparisons of multiple-impact laws for multibody systems: Moreau's law, binary impacts, and the LZB approach. Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics, Springer International Publishing AG, pp.1-45, 2018, Advanced Topics in Nonsmooth Mechanics. Transactions of the European Network for Nonsmooth Dynamics, ⟨10.1007/978-3-319-75972-2_1⟩. ⟨hal-01932551⟩

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