Méthode EFS condensée pour l’analyse des structures sous incertitudes

Abstract : This communication presents a condensed stochastic finite elements method, used to compute approximations for the probability law of the quantities of interest in a structure. This technique couples an adaptive condensation method (extension of Guyan’s static condensation technique) with a stochastic collocation algorithm for the analysis of nonlinear mechanics problems under uncertainties. The proposed condensed stochastic collocation method reduces the dimension of the deterministic nonlinear problems solved to create a meta-model of the system’s mechanical response. It exploits the specificities of SFE calculations, by creating a second meta-model to compute quantities necessary for adaptive condensation, such as condensed stiffness matrices. The condensed stochastic collocation method is applied to the analysis of a concrete beam under bending. The results obtained with the condensed SFE method are compared to a state-of-the-art SFE method. The proposed method allows obtaining results similar to the classical stochastic collocation method for a reduced computational load.
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https://hal-ensta-paris.archives-ouvertes.fr//hal-01333566
Contributor : Antoine Llau <>
Submitted on : Friday, June 17, 2016 - 5:09:55 PM
Last modification on : Tuesday, October 1, 2019 - 2:16:01 PM

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  • HAL Id : hal-01333566, version 1

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Antoine Llau, Julien Baroth, Ludovic Jason, Frederic Dufour. Méthode EFS condensée pour l’analyse des structures sous incertitudes. 9èmes Journées Fiabilité des Matériaux et des Structures, Mar 2016, Nancy, France. ⟨hal-01333566⟩

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