Geodesic
Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 6, pp. 1163-1192

Voir la notice de l'article provenant de la source Numdam

Caused by the problem of unilateral contact during vibrations of satellite solar arrays, the aim of this paper is to better understand such a phenomenon. Therefore, it is studied here a simplified model composed by a beam moving between rigid obstacles. Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of non-penetration Signorini's conditions. For this, starting from the works of Dumont and Paoli, we adapt to our beam model the singular dynamic method introduced by Renard. A particular emphasis is given in the use of a restitution coefficient in the impact law. Finally, various numerical results are presented and energy conservation capabilities of the schemes are investigated.

DOI : 10.1051/m2an/2011008
Classification : 35L85, 65M12, 74H15, 74H45
Keywords: variational inequalities, finite element method, elastic beam, dynamics, unilateral constraints, restitution coefficient 
@article{M2AN_2011__45_6_1163_0,
     author = {Pozzolini, C. and Salaun, M.},
     title = {Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1163--1192},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {6},
     year = {2011},
     doi = {10.1051/m2an/2011008},
     mrnumber = {2833177},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011008/}
}
TY  - JOUR
AU  - Pozzolini, C.
AU  - Salaun, M.
TI  - Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2011
SP  - 1163
EP  - 1192
VL  - 45
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011008/
DO  - 10.1051/m2an/2011008
LA  - en
ID  - M2AN_2011__45_6_1163_0
ER  - 
%0 Journal Article
%A Pozzolini, C.
%A Salaun, M.
%T Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2011
%P 1163-1192
%V 45
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011008/
%R 10.1051/m2an/2011008
%G en
%F M2AN_2011__45_6_1163_0
Pozzolini, C.; Salaun, M. Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 6, pp. 1163-1192. doi: 10.1051/m2an/2011008

Cité par Sources :