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Reliability-based design optimization using convex approximations and sequential optimization and reliability assessment method
Tae Min Cho/Byung Chai Lee
The Journal of Mechanical Science and Technology, vol. 24, no. 1, pp.279-283, 2010
Abstract : In this study, an effective method for reliability-based design optimization (RBDO) is proposed enhancing sequential optimization and
reliability assessment (SORA) method by convex approximations. In SORA, reliability estimation and deterministic optimization are
performed sequentially. The sensitivity and function value of probabilistic constraint at the most probable point (MPP) are obtained in the
reliability analysis loop. In this study, the convex approximations for probabilistic constraint are constructed by utilizing the sensitivity
and function value of the probabilistic constraint at the MPP. Hence, the proposed method requires much less function evaluations of
probabilistic constraints in the deterministic optimization than the original SORA method. The efficiency and accuracy of the proposed
method were verified through numerical examples.
Keyword : Convex approximations; Most probable point; Reliability-based design optimization; Sequential optimization and reliability assessment method |
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