基于完全概率的随机结构分析方法

基于加权残值方法，提出了一种求解随机结构在随机荷载作用下反应的概率密度函数的方法．基本做法是从所得到的问题解函数表达式出发，应用随机向量函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的操作处理，获得所求结构反应的概率密度函数．通过两算例的结果与Monte-Carlo模拟法结果相比较，表明该方法具有较高的精度及良好的实用性．

Method for dealing with the stochastic structure based on full-probability

Based on the Weighted Residual Method, a new method for the analysis of the probability density of stochastic structural response under random loading is proposed, in which an approximate function expression of the problem can be deduced by the Weighted Residual Method, and then the probability desity of the random function can be calculated with the method for dealing with the function of a random vector, so all the information of the randomicity of structural response can be gained expediently. Finally, two examples illustrate the present method. A comparison of its results with that by the Monte-Carlo method shows that the proposed method is of high accuracy and feasibility.