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Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations

Pozzolini, Cédric and Renard, Yves and Salaün, Michel Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations. (2013) IMA Journal of Numerical Analysis, vol. 33 (n° 1). pp. 261 -294. ISSN 0272-4979

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Official URL: http://dx.doi.org/10.1093/imanum/drr057

Abstract

The purpose of this paper is to describe a fully discrete approximation and its convergence to the continuum dynamical impact problem for the fourth-order Kirchhoff–Love plate model with nonpenetration Signorini contact condition. We extend to the case of plates the theoretical results of weak convergence due to Y. Dumont and L. Paoli, which was stated for Euler–Bernouilli beams. In particular, this provides an existence result for the solution of this problem. Finally, we discuss the numerical results we obtain.

Item Type:Article
Additional Information:Thanks to Oxford University Press. The definitive publisher-authenticated version is available online at: http://imajna.oxfordjournals.org/content/33/1/261
HAL Id:hal-00812715
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Other partners > Institut National des Sciences Appliquées de Lyon - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Université Jean Monnet - St Etienne (FRANCE)
Other partners > Ecole Centrale de Lyon (FRANCE)
Laboratory name:
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Deposited By: Michel Salaun
Deposited On:12 Apr 2013 14:22

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