一种结构随机分析的有限元方法

通过引入可靠度的置信区间和置信度的概念，可以把结构分析中的随机参数转化为置信区间下的区间数。从而可以运用普通的有限元程序对含有随机参数的工程结构利用区间算法进行强度分析。本文讨论了在一般算法的前提下，提出了利用区间算法结合力学知识可以简化计算量的方法，并通过实例证明该方法是可行的。

A Kind of Finite Element Method for the Structure Stochastic Analysis

Through the introduction of the concept of reliable confidence interval and confidence factor, the stochastic parameter in the structure analysis can be transferred into the interval number under the confidence interval. In this case, the general finite element program can he used to perform the strength analysis to the utilization interval algorithm of the engineering structure with stochastic parameter. This article has set forth the method to simplify the amount of calculation in combining the interval algorithm with the mechanics under the condition of the general algorithm, and it is proved that this method is practicable with the actual examples.