粒子群优化与Kriging模型相结合的结构非概率可靠性分析

Non-Probabilistic Structural Reliability Analysis Integrating the PSO and the Kriging Model

针对复杂结构可靠性分析中面临的隐式功能函数和小样本问题,提出了一种粒子群优化和Kriging模型相结合的结构非概率可靠性分析方法.采用多维椭球描述结构不确定参数,运用粒子群优化对模型相关参数进行求解,并构建隐式功能函数的Kriging模型进行可靠性分析.三个算例结果表明所提方法有效可行,精度和效率均优于基于Kriging模型的非概率可靠性分析方法.

In view of the problems with implicit performance functions and limited experimental data in the reliability analysis of complex structures,a non-probabilistic reliability method combining the particle swarm optimization(PSO)with the Kriging model was presented.A multidimensional ellipsoid was first used to characterize the uncertain parameters of structures.The Kriging model was then constructed for the implicit performance function,wherein its optimal related parameters was determined through the PSO.Based on the proposed model the reliability analysis was explicitly conducted.The results of 3 numerical examples show that,the proposed method is of effectiveness and feasibility,and has higher accuracy and efficiency than those based on the traditional Kriging model.