Abstract

This paper studies reliability analysis of structures with multiple failure modes. The analysis consists of three parts. First, the memetic animal migration optimization algorithm, applied for multiple optimum points detection in a multimodal optimization problem, is used to search for the most probable points of the limit state functions of main failure modes. Next, the multi-point first-order reliability method is used to estimate the failure probability of structures with multiple failure modes. Last, the saddlepoint approximation based second-order reliability method is further extended to system reliability analysis, aiming to improve the accuracy of system reliability prediction.

摘要

本文研究了具有多种失效模式的结构的可靠性分析。分析由三部分组成。首先，模因动物迁徙优化算法应用于多模态优化问题中的多个最优点检测，用于搜索主要失效模式极限状态函数的最可能点。接下来，采用多点一阶可靠性方法估计具有多种失效模式的结构的失效概率。最后，将基于鞍点近似的二阶可靠性方法进一步推广到系统可靠性分析中，以提高系统可靠性预测的准确性。