An Efficient Algorithm for Second-Order Finite Element Reliability Analysis

by Armen Der Kiureghian, Univ of California, Berkeley, United States,
Mario De Stefano, Univ of California, Berkeley, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


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: Structural analysis | Structural reliability | Finite element method | Computing in civil engineering | Matrix (mathematics) | Algorithms | Frames | Limit states

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