The singular dynamic method for dynamic contact of thin elastic structures
1 Université de Lyon, CNRS, INSA-Lyon,
ICJ UMR5208, F-69621
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,
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