用随机无网格法和免疫算法分析结构可靠性

本文首先用摄动随机无网格伽辽金法(PSEFGM)求解随机结构的响应。摄动随机无网格伽辽金法具有不需要划分单元和精度高等特点。然后应用人工免疫遗传算法对结构可靠性进行了分析。人工免疫遗传算法是一种新的综合人工免疫算法和遗传算法的智能优化算法，它避免了遗传算法易出现早熟。搜索效率低和不能很好地保持个体多样性等问题。数值实例表明在随机结构可靠性分析方面随机无网格迦辽金法与人工免疫遗传算法具有明显的优势和广泛的应用前景。

Structural Reliability Analyzed by the Stochastic Meshless Method and the Artificial Immune Algorithm

First,a perturbation stochastic element-free Galerkin method(PSEFGM)that has characters of the high precise and the element-free is appiled to solve the response of probabilistic structure in this paper. Second,the structural reliability has been analyzed by artificial immune genetic algorithm. Artificial immune genetic algorithm is a new intelligent optimum algorihm synthesized artificial immune algorithm with genetic algorithm,and the proposed algorithm avoids the problems on easily appeared precocity,low searching efficiency and impossible to maintain quite nicely the individual diversity. Numerical example shows that the stochastic element-free Galerkin method and the artificial immune genetic algorithm have the obvious advantages and the wide prospects of the application in reliability analysis of probabilistic structure.