An Efficient Algorithm for Second-Order Finite Element Reliability Analysisby Armen Der Kiureghian, Univ of California, Berkeley, United States,
Mario De Stefano, Univ of California, Berkeley, United States,
Abstract: A new, efficient algorithm for computing the principal curvatures of the limit-state surface at the design point, which are employed in second-order reliability analysis, is described. The method avoids computation of the second-derivative matrix and the associated eigenvalue problem. The proposed method is particularly advantageous for finite-element reliability analysis, provided response gradients can be computed efficiently. An example application involving 99 random variables illustrates the advantages of the method.
Subject Headings: Finite element method | Algorithms | Structural analysis | Structural reliability | Curvature | Limit states | Computing in civil engineering | Matrix (mathematics)
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