Analyse fiabiliste de la stabilité des coques minces imparfaites basée sur la méthode asymptotique numérique

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HAL Id: hal-01507586

https://hal.archives-ouvertes.fr/hal-01507586 Submitted on 13 Apr 2017

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Analyse fiabiliste de la stabilité des coques minces

imparfaites basée sur la méthode asymptotique

numérique

Claudine Noirfalise, Jean-Marc Bourinet, Michel Fogli, Bruno Cochelin

To cite this version:

Claudine Noirfalise, Jean-Marc Bourinet, Michel Fogli, Bruno Cochelin. Analyse fiabiliste de la stabil-ité des coques minces imparfaites basée sur la méthode asymptotique numérique. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. �hal-01507586�

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Laboratoire de Mécanique et Ingénieries, IFMA & Université Blaise Pascal Campus de Clermont-Ferrand - Les Cézeaux - BP 265 - 63175 AUBIÈRE Cedex

Claudine.Noirfalise@ifma.fr

** Laboratoire de Mécanique et d’Acoustique, Université d’Aix Marseille, UPR 7051

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RÉSUMÉ. Le caractère aléatoire des imperfections géométriques initiales est souvent à

l’origine des fortes dispersions obtenues expérimentalement sur les charges de flambement des coques minces et il ainsi naturel de considérer ce problème mécanique sous l’angle probabiliste. Le travail présenté constitue une contribution en ce sens et aborde l’analyse de la stabilité des coques minces cylindriques sous pression externe avec imperfections géométriques initiales aléatoires. Le problème mécanique fait appel à une résolution numérique par éléments finis et la probabilité de défaillance de la coque sous une pression donnée est calculée à l’aide d’une méthode de simulation par subsets. Cette approche fiabiliste nécessite le choix d’un modèle stochastique pour la représentation du défaut. Pour ce faire, l’amplitude du défaut est décomposée en série de Fourier et les coefficients sont considérés comme variables aléatoires, les paramètres de ces variables étant identifiés à partir de données expérimentales.

ABSTRACT. Discreprencies observed in experimental buckling loads related to thin shells are

mostly due to the random nature of the initial geometric imperfections. It is therefore necessary to consider this problem from a probabilistic point of view. This paper represents a contribution to this area and addresses the stability of cylindrical thin shells with random initial shape imperfections under an external given pressure. In order to solve this problem, a subset simulation method is applied based on numerical results obtained from a finite element model. This approach requires the choice of a stochastic model for representing the initial imperfections. A Fourier decomposition method has been used and the coefficients are considered as random variableswhose parameters are identified from experimental data.

MOTS-CLÉS: Coques minces, flambement, méthode aux éléments finis, Méthode Asymptotique

Numérique, fiabilité, simulation par subset, défaut aléatoire, séries de Fourier.

KEYWORDS: Thin shells, buckling, finite element method, Asymptotic Numerical Method,

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Analyse fiabiliste de la stabilité des coques minces imparfaites basée sur la méthode asymptotique numérique

Analyse fiabiliste de la stabilité des coques minces

imparfaites basée sur la méthode asymptotique

numérique

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