功能函数不明确结构四阶矩可靠度的分析方法

THE FOUR-MOMENT RELIABILITY ANALYSIS METHOD FOR PERFORMANCE FUNCTION IMPLICIT STRUCTURE

本文探讨了功能函数不明确结构四阶矩可靠度的分析方法。给出确定利用最大熵原理建立的功能函数概率分布密度的待定参数时由高斯积分表达的离散化公式。本文方法是为功能函数不明确结构而提出的,也可用于功能函数为显式结构的可靠度分析。特别本文采用的高斯积分离散化公式使在同样的精度下计算量大为减少,解决了四阶矩可靠度分析的费时问题。

In this paper,the four-moment reliability analysis method for perfopmance function implicit structure is discussed. Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory. The method in this paper is proposed for performance function implicit structure. Particularly, the discrete formulas used in this paper largely reduce calculating work with the same precision, so that the time-consume problem of four-moment reliability anlaysis is solved.