冗余桁架结构系统可靠性分析理论与算法

在阶段临界强度分枝-约界准则的基础上结合网络分析技术,提出了适用于大中型结构自动化可靠性分析的全局临界强度分枝-约界准则和相应的算法。该算法在一级和多级搜索纵深的条件下,可严格确保不遗漏结构系统的主要失效模式,数值计算结果表明,该算法具有良好的收敛效率。

Reliability Analysis Theory and Algorithm of Redundant Truss Structures

In this paper, the overall critical strength branch-and-bound criterion and corresponding algorithm for enumerating significant failure modes of a large scale structure is suggested by combing stage critical strength branch-and-bound criterion with network analysis method. In the case of one-order and multi-order searching depth, event of losing significant failure modes is impossible in this method, about which a theoretic proof is provided. The feasibility and validity of this method for enumerating significant failure modes and valuating the total failure probability of truss structures is also demonstrated by practical computations and analyses of some classical structures.