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This article is cited in 1 scientific paper (total in 1 paper)
Stochastic wave finite element method in uncertain elastic media through the second order perturbation
F. Bouchouchaa, M. N. Ichchoub, M. Haddara a National School of Engineers of Sfax., BP. W3038, Sfax, Tunisia
b Ecole Centrale de Lyon., 36 Avenue Guy de Collongues, 69130, Ecully, France
Abstract:
In this work, the stochastic wave finite element (SWFE) method for uncertain media through the second-order perturbation is formulated. A parametric approach for uncertainties is considered and combined to the finite element technique. The stochastic state space formulation is detailed in this work. The originality of this paper is the study of the second-order perturbation. The sensitivity and the precision of the SWFE approach are treated through the second-order perturbation introduced in the structural parameters. The question of the statistics of the propagation constants and the wave modes is considered. Comparisons with analytical results and Monte Carlo simulations are performed.
Keywords:
stochastic wave finite element method, dispersion, uncertainty, second-order perturbation.
Received: 05.02.2015 Revised: 12.08.2015
Citation:
F. Bouchoucha, M. N. Ichchou, M. Haddar, “Stochastic wave finite element method in uncertain elastic media through the second order perturbation”, Prikl. Mekh. Tekh. Fiz., 58:2 (2017), 202–211; J. Appl. Mech. Tech. Phys., 58:2 (2017), 362–370
Linking options:
https://www.mathnet.ru/eng/pmtf740 https://www.mathnet.ru/eng/pmtf/v58/i2/p202
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