Abstract:

To solve the problem of small failure probability in the precision product, a reliability-based robust design optimization method is proposed based on dual response surface methodology (DRSM) and subset simulation. Firstly, the limit state of failure modes is built based on RSM and performance function with mean-variance is built by DRSM. Secondly, the reliability analyze by the subset simulation, which convert small failure probability to large conditional failure probability. Then the larger conditional failure probability is estimated by density function of sampling. Finally, optimization problem is regarded as rare events for reliability problem. Subset simulation is used to solve the robust optimization within the reliability analysis framework. The results of numerical example demonstrate the effectiveness of the proposed method.

Key words: small probability failure, reliability-based design optimization, subset simulation, dual response surface methodology