圆柱形弹性壳液耦合系统大幅低频重力波的解析分析  

Gravity Waves with Low Frequency and Large Amplitude in Cylindrical Liquid-Elastic Shellgs

作　　者：刘习军[1] 李强[1] 刘振宇[1] 徐景满[1] 杜颖[1] 

机构地区：[1]天津大学,天津300072

出　　处：《应用力学学报》2008年第3期508-511,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助(1057210)

摘　　要：以圆柱形弹性壳液耦合系统为研究对象,对已建立的多自由度非线性振动方程用平均法求其近似解析解,得到了方程组的一次近似定常解结果,由此可知当液固耦合系统受到激振力足够大,且激振频率处于弹性壳体的固有频率和重力波频率之和的一个窄频带范围时,液面以高频为主的振动会转化为以低频为主的大幅重力波运动,这是一种组合共振现象。Taking a cylindrical elastic fluid-shell coupled system, a set of multiple-degree-of-freedom nonlinear vibration equations are constructed. The analytical solution is obtained by averaging method. According to the first order approximate steady-state solution, when the exciting force is enough large and the exciting frequency is in the narrow band range of the sum of the natural frequency of elastic shell and the frequency of gravity waves, the liquid level vibration relying mainly on high frequency often is transferred to low frequency and large amplitude gravity waves to demonstrate the coupled resonance phenomenon.

关 键 词：弹性壳液耦合 重力波 平均法 非线性振动 

分 类 号：O322[理学—一般力学与力学基础]