Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations - Archive ouverte HAL Access content directly
Journal Articles IMA Journal of Numerical Analysis Year : 2013

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

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.
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Dates and versions

hal-00812715 , version 1 (12-04-2013)

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Cédric Pozzolini, Yves Renard, Michel Salaün. Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations. IMA Journal of Numerical Analysis, 2013, vol. 33, pp. 261 -294. ⟨10.1093/imanum/drr057⟩. ⟨hal-00812715⟩
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