Une méthode de surface de réponse adaptative en fiabilité des structures basée sur la régression pondérée
DOI:
https://doi.org/10.13052/16%20–%20n°%201/2007Keywords:
finite elements, probabilistic methods, response surface method, weight regressionAbstract
In structural reliability analysis where the structural response is computed from the finite element method, the response surface method is frequently used. Typically, the response surface is built from polynomial whose coefficients are estimated from an implicit limit state function numerically defined at fitting points. The location of these points must be selected in a judicious way in order to minimize computing time without deteriorating the quality of polynomial approximation. To contribute to the development of this method, we propose some improvements here. An adaptive construction of the numerical design is proposed. The response surface is fitted by the regression technique that allows the fitting points to be weighted according to their distance from the true failure surface. The response surface is successively formed in a cumulative manner. This method is aimed to minimize computing time and simultaneously to produce satisfactorily results. The effectiveness and the accuracy of the proposed method can be judged from examples taken in the previous literature.
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