梁对随机荷载响应的简化计算

Appoximate Calcuilations of Stochastic Response of Elastic Beam

线性弹性体在随机荷载作用下.只要求出复频响应函数及脉冲响应函数.就可从激励谱密度求出响应谱密度.在一般情况下.计算谱密度非常繁杂.但对于某些特殊情况.可以进行简化.作出响应谱密度的近似表达式.

This paper studies the stocnastic resoonse of the elastic beam which is subjected to random excitations. If the dower spectral and cross spectral density runction of a stationary gaussian input process are known using the unite impulse response function and complex freyuency resddnse function, the desired output dower spectral and cross spectral density function can be obtained completely. In general, it is complex to define output spectral density. However, in the special scase, if the value of frequencies are well separated, the response will be caused primarily by the mode of resonace. Thus the computations are simplified and the approximation to the sepectral density function can be obtained.