Geodesic
The singular dynamic method for dynamic contact of thin elastic structures
Cédric Pozzolini1 ; Yves Renard2 ; Michel Salaün3
1 Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, F-69621 Villeurbanne, France,
2 Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, LaMCoS UMR5259, F-69621 Villeurbanne, France,
3 Université de Toulouse; INSA, UPS, EMAC, ISAE; ICA (Institut Clément Ader), 10 Avenue Edouard Belin, F-31055 Toulouse, France,
ESAIM. Proceedings, Tome 42 (2013), pp. 20-33.

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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.
DOI : 10.1051/proc/201342003

Cédric Pozzolini 1 ; Yves Renard 2 ; Michel Salaün 3

1 Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, F-69621 Villeurbanne, France,
2 Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, LaMCoS UMR5259, F-69621 Villeurbanne, France,
3 Université de Toulouse; INSA, UPS, EMAC, ISAE; ICA (Institut Clément Ader), 10 Avenue Edouard Belin, F-31055 Toulouse, France, 
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     title = {The singular dynamic method for dynamic contact of thin elastic structures},
     journal = {ESAIM. Proceedings},
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Cédric Pozzolini; Yves Renard; Michel Salaün. The singular dynamic method for dynamic contact of thin elastic structures. ESAIM. Proceedings, Tome 42 (2013), pp. 20-33. doi : 10.1051/proc/201342003. http://geodesic.mathdoc.fr/articles/10.1051/proc/201342003/

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