关键词: 可靠性设计优化, 通用生成函数, 响应面, 变量离散化, 最大概然失效点

Abstract: In order to improve accuracy of RBDO, a new RBDO method was proposed based on UGF. On one hand, dynamic mapping among design variables and probability indexes was established through a series of response surfaces, which eliminated inner cycle of traditional double cycle algorithm. On the other hand, UGF was introduced for reliability analysis to avoid disadvantages of low precision or non-convergence of the traditional moment methods in dealing with non-normal random variables and highly nonlinear performance functions. At the same time, combined with non-uniform discretization technology, analysis accuracy may be improved under given calculation costs. The examples show that the proposed method is reasonable, feasible, and robust.

Key words: reliability-based design optimization(RBDO), universal generating function(UGF), response surface, variable discretization, most probable failure point