Eléments finis viscoélastiques stochastiques pour la conception robuste des structures mécaniques

HAL Id: hal-01508939

https://hal.archives-ouvertes.fr/hal-01508939 Submitted on 15 Apr 2017

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Mohamed Guedri, A.M.G. Lima, Nourredine Bouhaddi, D.A. Rade

To cite this version:

Mohamed Guedri, A.M.G. Lima, Nourredine Bouhaddi, D.A. Rade. Eléments finis viscoélastiques stochastiques pour la conception robuste des structures mécaniques. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. �hal-01508939�



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Institut Préparatoire aux Études d’Ingénieur, 8000 M’rezgua, Nabeul - TUNISIE

Université Fédérale d’Uberlandiara, Faculté de Mécanique & Ingénieries, Campus Santa Monica, P.O.Box 593, CEP 38400-902 – Uberlandia / MG BRESIL

Institut FEMTO ST UMR 6174 - Laboratoire de Mécanique Appliquée

Université de Franche-Comté, 24 Chemin de l’Epitaphe 25000 Besançon FRANCE

RÉSUMÉ. Dans cet article, on propose un modèle de propagation des incertitudes qui est

introduit au niveau des éléments finis et concerne les paramètres de design de la structure et du traitement viscoélastique. Pour réduire les coûts induits par la taille du modèle, les calculs itératifs des effets des incertitudes et le caractère non-linéaire de l’amortissement viscoélastique, on propose l’utilisation de la méthode de perturbation modale.

$%675$&7_{In this paper, a model of propagation of uncertainties is introduced on the level of}

the finite elements and relates to the parameters of design of the structure and those of the viscoelastic treatment. To reduce the numerical costs induced by the size of the model, by iterative calculations of the effects of uncertainties and the non-linear character of viscoelastic damping, the use of the modal perturbation method is suggested.

MOTS-CLÉS : Méthode des éléments finis stochastiques ; Amortissement viscoélastique ;

Incertitudes ; Méthode de perturbation modale ; Paramétrisation.

KEYWORDS: Stochastic finite element method; Viscoelastic damping; Uncertainties; Modal

perturbation method; Parameterisation.



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