Calcul de structures par approche intervalle

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Calcul de structures par approche intervalle

Franck Massa, Karine Ruffin-Mourier, Bertrand Lallemand, Thierry Tison

To cite this version:

Franck Massa, Karine Ruffin-Mourier, Bertrand Lallemand, Thierry Tison. Calcul de structures par approche intervalle. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France.

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Laboratoire d'Automatique, de Mécanique et d'Informatique Industrielles et Humaines, UMR 8530, Université de Valenciennes

Le Mont Houy, 59313 Valenciennes cedex 9 [email protected]

RÉSUMÉ

. Les simulations par éléments finis sont bien implantées dans le monde industriel et sont devenues incontournables en phase de conception des structures mécaniques. Bien que les modèles numériques soient de plus en plus complexes et réalistes, les résultats obtenus présentent encore des écarts non négligeables par rapport à la réalité observée. L’utilisation d’une analyse déterministe est limitée compte tenu des imperfections à l’origine de la fabrication ou encore de la méconnaissance des données en conception d’avant-projet. Une méthodologie générale de nature non probabiliste, utilisant les intervalles, est présentée pour propager les imperfections. Celle-ci est basée sur le couplage entre analyses de sensibilité et technique de réanalyse par projection. Un cas test est présenté pour démontrer la capacité de la méthodologie à prédire un ensemble de résultats expérimentaux.

ABSTRACT

. The finite element simulations are well established in the industry and are indicative in design phase of mechanical structures. Although the numerical models are more and more complex and realistic, the results present still some important gaps with the observed reality. The use of a deterministic analysis is now limited because several kinds of uncertainties are identified in different steps of the design of structures. A general non probabilistic methodology, using the interval sets, is presented to propagate the imperfections. This one is based on sensitivity analysis and reanalysis techniques. A test case has been organized to demonstrate the capability of the proposed methodology to match the set of experimental results.

MOTS-CLÉS

: Imperfections, Intervalles, Réanalyse, Agrégation de résultats expérimentaux.

KEYWORDS

: Imperfections, Interval, Reanalysis, Set of experimental results.

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