随机天线结构在随机风荷激励下的动力分析

Dynamic Response Analysis of Stochastic Antenna Structures under Random Wind Excitation

研究了具有随机参数的天线结构在随机风荷激励下的动力响应问题。从天线结构在随机风荷激励下振动响应在频域上的表达式出发,将天线结构物理参数、几何尺寸和结构阻尼均视为随机变量,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,导出了随机天线结构在随机风荷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。算例分析表明了天线结构参数的随机性对其在随机风荷激励下位移响应均方值和应力响应均方值随机性的影响。

The dynamic response of antenna structures with stochastic parameters under random wind loads is investigated in this paper.The structural material parameters,geometric dimensions and damping are considered as random variables.The structural random vibration theory in frequency domain is employed.The equations for computing the mean value,variance and coefficient of variation of the mean square structural displacement and stress response are derived by using the random variable′s functional moment method and the algebra synthesis method.An antenna with 8-meter caliber is used as an example to illustrate the effects of the randomness of individual structural parameters on the antenna′s wind-induced random vibrations.