Reliability-Based Design Optimization Using Generalized Subset Simulation Method

摘要

This paper deals with the conventionally Reliability-Based Design Optimization (RBDO) problems with a recently developed generalized Subset Simulation (GSS) Method.For decades, evaluation of the probabilistic constraints in RBDO problem has always been a significant and challenging work, which directly affects the convergence property during the optimization process.In this paper, reliability evaluation is coupled with GSS method in the inner loop for RBDO problems to efficiently calculate the failure probabilities for all probabilistic constraints in a single run, while the outer loop of optimal design is implemented by using the Sequential Quadratic Programming (SQP) method.And a finite difference scheme is used to obtain the corresponding gradients of probabilistic constraints.A spell reducer optimization problem is then used to demonstrate the efficiency and accuracy of the proposed approach.