Publication :


Title:

Energy conservative finite element semi-discretization for vibro-impact of plates on rigid obstacles

Authors: C. Pozzolini, Y. Renard and M. Salaün
Year: 2016
Journal: Mathematical Modelling and Numerical Analysis.
Volume: 50, Number: 6, Pages: 1595-1613

DOI: 10.1051/m2an/2015094

Abstract:
Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of vibro-impact of plates between rigid obstacles with non-penetration Signorini’s conditions. To this aim, the dynamical Kirchhoff-Love plate model is considered and an extension to plates of the singular dynamic method, introduced by Y. Renard and previously adapted to beams by C. Pozzolini and M. Salaun, is described. A particular emphasis is given in the use of an adapted Newmark scheme in which intervene a discrete restitution coefficient. Finally, various numerical results are presented and energy conservation capabilities of several numerical schemes are investigated and discussed.

Bibtex citation :
@article{Pozzolini2016,
Author={Pozzolini, C. and Renard, Y. and Sala\"un, M.},
Title={Energy conservative finite element semi-discretization for vibro-impact of plates on rigid obstacles},
Journal={Mathematical Modelling and Numerical Analysis},
Volume={50},
Number={6},
Pages={1595-1613},
Year={2016}}


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