基于通用生成函数的结构可靠性优化策略

为提高工程结构可靠性设计优化（RBDO）的求解精度，提出一种基于通用生成函数（UGF）的RBDO新方法。一方面通过系列响应面建立设计变量与概率指标的动态映射，消除传统双循环算法的内层循环；另一方面引入UGF进行可靠性分析，避开传统矩法在处理随机变量非正态、功能函数高度非线性问题时精度低或无法收敛的劣势。同时，结合非均匀离散化技术在既定的计算成本下提高分析精度。算例表明，所提方法合理可行且具有较好的鲁棒性。

Reliability-based Design Optimization Strategy for Structures by Universal Generating Functions#br#

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.