Using stochastic finite elements, the response quantity can be written as a series expansion which allows an approximation of the limit state function. For computational purpose, the series must be truncated in order to retain only a finite number of terms. In the context of reliability analysis, we propose a new approach coupling polynomial chaos expansions and confidence intervals on the generalized reliability index as truncating criterion.RÉSUMÉ. La méthode des éléments finis stochastiques permet d'exprimer la réponse d'un système sous forme d'une série polynomiale appelée chaos polynomial. Numériquement, cette série doit être tronquée pour ne retenir qu'un nombre fini de termes. Dans le cadre de l'analyse de fiabilité, nous proposons une méthode adaptative utilisant les intervalles de confiance sur l'indice de fiabilité généralisé comme critère de troncature du chaos.
Using stochastic finite elements, the response quantity can be written as a series expansion which allows an approximation of the limit state function. For computational purpose, the series must be truncated in order to retain only a finite number of terms. In the context of reliability analysis, we propose a new approach coupling polynomial chaos expansions and confidence intervals on the generalized reliability index as truncating criterion.
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