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Modification of Moreau-Jean's Scheme for Energy Conservation in Inelastic Impact Dynamics

Abstract : This contribution suggests a modification of Moreau-Jean’s scheme to obtain an energy conserving formulation for frictionless vibro-impact problems involving an inelastic impact law. In this approach, the velocities of the non-contacting masses are modified in order to balance the amount of energy dissipated during impact. This correction is shown to be useful to avoid dissipation of energy through the simulation of a two-degree-of-freedom vibro-impact system involving sticking phases. It is found that the modification yields an energy conserving scheme for inelastic impact dynamics. The objective of this modification is to find families of periodic solutions of discrete systems involving sticking phases, which is not possible with the current approach due to the numerical dissipation.
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https://hal.archives-ouvertes.fr/hal-01569841
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Submitted on : Thursday, July 27, 2017 - 5:03:14 PM
Last modification on : Thursday, March 26, 2020 - 8:49:23 PM

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Carlos Yoong, Vincent Acary, Mathias Legrand. Modification of Moreau-Jean's Scheme for Energy Conservation in Inelastic Impact Dynamics. 9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary. ⟨hal-01569841⟩

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