线性随机桁架结构的平稳随机响应分析

Stationary Random Response Analysis of Linear Stochastic Truss Structures

研究了随机桁架结构的平稳随机响应问题。同时考虑结构的物理参数、几何尺寸的随机性 ,从结构平稳随机响应在频域上的表达式出发 ,利用求解随机变量函数矩的方法 ,导出了随机桁架结构在平稳随机激励下位移响应均方值的均值、均方差和变异系数的计算表达式。通过算例考察了随机荷载激励下结构物理参数。

The problems of stationary random response analysis of stochastic truss structures are studied in this paper. Considering the randomness of the structural physical parameters and geometric dimensions simultaneously, the computational expressions of the mean value, variance and variation coefficient of the structural displacement response's mean square value under stationary random excitation are derived by means of the random variable's functional moment method from the expressions of structural stationary random response of the frequency domain. The influences of the randomness of the structural physical parameters and geometric dimensions on structural stationary random response under random excitation are inspected through the examples.