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An efficient approach for reliability-based design optimization combined sequential optimization with approximate models. (English) Zbl 1404.90061

Summary: Reliability-based design optimization (RBDO) involves evaluation of probabilistic constraints which can be time-consuming in engineering structural design problems. In this paper, an efficient approach combined sequential optimization with approximate models is suggested for RBDO. The radial basis functions and Latin hypercube sampling are used to construct approximate models of the probabilistic constraints. Then, a sequential optimization with approximate models is carried out by the sequential optimization and reliability assessment method which includes a serial of cycles of deterministic optimization and reliability assessment. Three numerical examples are presented to demonstrate the efficiency of the proposed approach.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
74P05 Compliance or weight optimization in solid mechanics
90C31 Sensitivity, stability, parametric optimization
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