Title: Numerical analysis solving the elastic dynamic problem

Authors: Hamdi Hentati; Radhi Abdelmoula; Aref Maalej; Khalil Maalej

Addresses: LASEM Laboratory, National School of Engineers of Sfax, University of Sfax, BP 1173, Sfax 3038, Tunisia ' LSPM Laboratory, Institut Galile, University of Paris 13, 99 Avenue J.B.Clment 93430, Villetaneuse, France ' LASEM Laboratory, National School of Engineers of Sfax, University of Sfax, BP 1173, Sfax 3038, Tunisia ' Groupe Chimique Tunisien, Route de Gabs Km 3.5, 3000 Sfax, Tunisia

Abstract: The purpose of this work is to present a numerical method for solving a problem of dynamic structures. For that, we use the Newmark algorithm and the finite element method for time and space discretisations, respectively. We prove the efficiency of the Newmark scheme in which the sum of elastic and kinetic energies is conserved. We conduct also numerical computations aiming to determine the influence of numerical parameters in terms of time step and mesh size on energy conservation.

Keywords: Newmark scheme; finite element method; FEM; elastic dynamic problem; dynamic structures; elasticity.

DOI: 10.1504/IJMIC.2013.055435

International Journal of Modelling, Identification and Control, 2013 Vol.19 No.3, pp.299 - 305

Published online: 27 Sep 2014 *

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