小垂度柔索非线性随机响应分析

Nonlinear Response of Cable with Small Sag under Narrow Band Random Excitation

基于小垂度柔索非线性动力分析模型 ,研究了平面窄带随机激励下小垂度柔索非线性动态响应。使用等效线性化技术与单模态近似得到响应的均方误差方程。研究表明激励的带宽为激励强度的增函数 ;当激励的中心频率在指定的范围内 ,并且激励的带宽小于带宽的临界值时 ,响应为三值响应。

Nonlinear planar response of a cable under plannar narrow band radom excitation is studied.A response equation for the mean square deflection is obtained under a single mode approximation by using the equivalent linearization technique.It is shown that the response is triple valued,if the center frequency of excitation lies in a certain specified range.The triple valued response occure only if the excitation of excitation lies in a certain specified range.The triple valued response occures only if the excitation bandwidth is smaller than a critical value which is monotonically increasing function of the intensity of excitation.