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 Renard and previously adapted to beams by Pozzolini and Salaün, 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.
Accepté le :
DOI : 10.1051/m2an/2015094
Mots clés : Variational inequalities, finite element method, elastic plates, dynamics, unilateral constraints
@article{M2AN_2016__50_6_1585_0,
author = {Pozzolini, C\'edric and Renard, Yves and Sala\"un, Michel},
title = {Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1585--1613},
publisher = {EDP-Sciences},
volume = {50},
number = {6},
year = {2016},
doi = {10.1051/m2an/2015094},
mrnumber = {3580115},
zbl = {1388.74107},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2015094/}
}
TY - JOUR AU - Pozzolini, Cédric AU - Renard, Yves AU - Salaün, Michel TI - Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2016 SP - 1585 EP - 1613 VL - 50 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2015094/ DO - 10.1051/m2an/2015094 LA - en ID - M2AN_2016__50_6_1585_0 ER -
%0 Journal Article %A Pozzolini, Cédric %A Renard, Yves %A Salaün, Michel %T Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2016 %P 1585-1613 %V 50 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2015094/ %R 10.1051/m2an/2015094 %G en %F M2AN_2016__50_6_1585_0
Pozzolini, Cédric; Renard, Yves; Salaün, Michel. Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 6, pp. 1585-1613. doi : 10.1051/m2an/2015094. http://www.numdam.org/articles/10.1051/m2an/2015094/
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