| Issue |
ESAIM: Proc.
Volume 42, December 2013
Journées en Modélisation Mathématique et Calcul Scientifique
|
|
|---|---|---|
| Page(s) | 20 - 33 | |
| DOI | https://doi.org/10.1051/proc/201342003 | |
| Published online | 09 December 2013 | |
The singular dynamic method for dynamic contact of thin elastic structures
1 Université de Lyon, CNRS, INSA-Lyon,
ICJ UMR5208, F-69621
Villeurbanne,
France,
cedric.pozzolini@insa-lyon.fr
2 Université de Lyon, CNRS, INSA-Lyon,
ICJ UMR5208, LaMCoS UMR5259, F-69621
Villeurbanne,
France,
yves.renard@insa-lyon.fr
3 Université de Toulouse; INSA, UPS,
EMAC, ISAE; ICA (Institut Clément Ader), 10 Avenue Edouard Belin, F-31055
Toulouse,
France,
michel.salaun@isae.fr
This paper adresses the approximation of the dynamic impact of thin elastic structures. The principle of the presented method is the use of a singular mass matrix obtained by different discretizations of the deflection and velocity. The obtained semi-discretized problem is proved to be well-posed and energy conserving. The method is applied on some membrane, beam and plate models and associated numerical experiments are discussed.
© EDP Sciences, SMAI 2013
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