平稳随机激励下线性随机桁架结构动力响应分析

考虑桁架结构的物理参数、几何尺寸的随机性，利用求解随机变量函数矩的方法和求解随机变量数字特征的代数综合法，从结构平稳随机响应在频域上的表达式出发，导出了随机桁架结构在平稳随机激励下位移响应均方值和应力响应均方值的均值、方差和变异系数的计算表达式。通过算例考察了结构物理参数和几何尺寸的随机性对结构位移响应均方值和应力响应均方值随机变量随机性的影响，并获得了一些有意义的结论。

Dynamic Response Analysis of Linear Stochastic Truss Structures under Stationary Random Excitation

Considering the randomness of structural physical parameters and geometric dimensions simultaneously, the computational expressions of the mean value, variance and variation coefficient of the mean squared value of the structural displacement and stress response under stationary random excitation are developed by means of the random variable's functional moment method and the algebra synthesis method based on the expressions of structural stationary random response in frequency domain. The influences of the randomness of the structural physical parameters and geometric dimensions on the randomness of the mean square value of the structural displacement and stress responses are inspected through the examples, and some important conclusions are obtained.