冗余结构基于可靠性的模糊优化设计

用结构分析的有限元法求得冗余结构元件的内力,用一种新方法确认冗余结构的主要失效模式,再根据主要失效模式求得冗余结构失效概率的上下限.用随机方向法进行了基于可靠性分析的构架结构的优化.在此基础上,对结构进行了基于可靠性分析的构架结构的模糊优化设计.其中给出了一种结构优化模糊目标集的隶属函数,并用模糊判决原理求解相应的模糊规划,得到了结构的模糊优化解.为约束是一模糊区间的结构优化问题提供了一种确定最优设计的方法.数值例题说明,本文提出的方法是有效的.

Reliability-Based Fuzzy Optimum Design of Redundant Structure

This paper gives the internal force of members of redundant truss structures by using the finite element method of structure analysis.Anew method is used for defining the dominant failure modes of redundant structures.Then the upper and lower bounds 6f the failure probabilities of redundant structures are evaluated according to the dominant failure modes.The truss structures optimization design based on reliability analysis is completed by using the random direction method.On the basis of this, the fuzzy optimum design of the truss structures based on reliability analysis is completed.The paper gives a membership function of the structural optimum fuzzy objective function sets, and the fuzzy programming is completed with the theory of fuzzy decision, the structural fuzzy optimum solutions are obtained.Numerical examples are provided to demonstrate the validity of the proposed method.