The first order reliability method (FORM) is widely adopted for structural reliability evaluation due
to its numerical efficiency. Concerning the issue of FORM often failing to converge when the limit state function
(LSF) behaves high nonlinearity, a new iteration scheme called “rotated gradient algorithm (RGA)” is proposed
and combined with Kriging model to evaluate the reliability of implicit performance function. In this paper, the
Kriging model is applied to approximate the real LSF first. Then the scheme of RGA, constructed in terms of
gradient information of two adjacent design points obtained during the process of calculation, is used to calculate
the reliability index. Numerical examples show the validity in convergence and accuracy of the proposed method
for arbitrary nonlinear performance function.
YANG Jie1,2 (杨杰), HUANG Yi1,2(黄一), ZHANG Qi1,2 (张崎), ZHAO De-you1 (赵德有)
. Method of a New Iteration Scheme Combined with Kriging Model for
Structural Reliability Evaluation[J]. Journal of Shanghai Jiaotong University(Science), 2012
, 17(4)
: 415
.
DOI: 10.1007/s12204-012-1300-2
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