Pozzolini, Cédric and Renard, Yves and Salaün, Michel The singular dynamic method for dynamic contact of thin elastic structures. (2013) ESAIM: Proceedings, 42. 20-33. ISSN 1270-900X
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Official URL: http://dx.doi.org/10.1051/proc/201342003
Abstract
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.
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