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Abstract

A stable Reliability-Based Design Optimization (RBDO) algorithm is proposed to produce an optimal design with a desired reliability. The main idea behind the proposed approach is to use a set of deterministic variables, called auxiliary design points, to replace the random parameters. Thus, the reliability analysis in the inner loop of an RBDO problem is relaxed. The auxiliary design points are found through an optimization procedure. The auxiliary design points are updated using the sums of the auxiliary design points and the differences between the mean values of the “pseudo” and actual random parameters in the previous step. The auxiliary design points can force the iteration of deterministic optimization to the vicinity of the probabilistic boundary. Note that in the proposed method, the coupled reliability analysis and deterministic optimization are decomposed to form a weakly coupled system. The stability and accuracy of the proposed method were investigated through linear and nonlinear numerical problems.

Keywords

reliability stable optimization RBDO decomposition

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A Stable Reliability-Based Optimization via a Decomposing Approach

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