随机智能桁架结构闭环控制平稳随机响应分析

STATIONARY RANDOM RESPONSE ANALYSIS OF CLOSED LOOP CONTROL SYSTEM FOR STOCHASTIC INTELLIGENT TRUSS STRUCTURES

研究平稳随机激励下随机智能桁架结构的闭环动力响应问题。同时考虑智能桁架结构的物理参数、几何尺寸和阻尼的随机性 ,利用矩法和代数综合法 ,从结构平稳随机响应在频域上的表达式出发 ,分别导出随机智能桁架结构在平稳随机激励下闭环位移响应均方值和应力响应均方值的均值、方差的计算表达式。通过算例考察结构物理参数、几何尺寸和阻尼的随机性对结构位移响应均方值与应力响应均方值随机变量随机性的影响 。

The problems of dynamic response of closed loop control system for stochastic intelligent truss structures under stationary random excitation were studied. From the expressions of the structural stationary random response of the frequency domain, the computational expressions of the mean value and the variance of the structural displacement response's mean square value under stationary random excitation were derived by means of the random variable's functional moment method. In which the randomness of the structural damping, physical parameters and geometric dimensions were considered simultaneously. Then, the computational expressions of the mean value and the variance of the structural stress response's mean square value were obtained by the random variable's algebra synthesis method. Through the engineering examples, the influences of the randomness of the structural physical parameters, geometric dimensions and damping on structural stationary random response are inspected. Finally, some useful conclusions for the stationary random response of random intelligent truss structures are obtained.