Efficient algorithm for second-order reliability analysis

摘要: In the second‐order reliability method principal curvatures of limit‐state surface at design point are used to construct a paraboloid approximation surface, which is then compute estimate failure probability. The eigenvalues Hessian surface. this paper an efficient algorithm developed determine without computing Hessian. computed in iterative manner using gradient function, and obtained decreasing order their absolute magnitudes, also importance analysis. computation can be terminated when last curvature sufficiently small. for problems with large numbers random variables, especially available. Several numerical examples, including finite‐element application involving 99 r...