考虑模糊因素的结构可靠性优化设计

The optimization of the structure reliability consider of the fuzzy factors

在一般优化设计模型的基础上,建立了考虑模糊因素时的优化设计模型。由于模糊优化所涉及的模糊因素往往包含在约束条件中,所建立的模糊优化模型主要指具有模糊约束的优化设计。选用降半梯形和降半岭形隶属函数得到约束的模糊可行域,再利用模糊约束集的水平截集的概念将模糊优化转化为普通优化,来得到模糊解,最后讨论了最优设防水平的确定方法。

This article brings forward an optimize design model which consider of the fuzzy factors on the basis of generally optimize design model. The fuzzy optimize design model mostly means optimize design model consider of fuzzy constraints because the fuzzy factors are mostly in the constraints. Then selects fall half ladder-shape and falling half mountain-range shape to gain fuzzy feasible region of constraints, transforms fuzzy optimization to generally optimization use the level cuts set of fuzzy constraint set, so the fuzzy solution of the fuzzy optimization design model can be get. Finally, the article discusses the methods of getting the optimum fortify level.