Geodesic
The singular dynamic method for dynamic contact of thin elastic structures
Cédric Pozzolini1 ; Yves Renard2 ; Michel Salaün3
1Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, F-69621 Villeurbanne, France,
2Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208, LaMCoS UMR5259, F-69621 Villeurbanne, France,
3Université 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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     author = {C\'edric Pozzolini and Yves Renard and Michel Sala\"un},
     title = {The singular dynamic method for dynamic contact of thin elastic structures},
     journal = {ESAIM. Proceedings},
     pages = {20--33},
     year = {2013},
     volume = {42},
     doi = {10.1051/proc/201342003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201342003/}
}
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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

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