矩形弹性壳液耦合系统的非线性振动分析  

ANALYSIS OF NONLINEAR VIBRATION OF RECTANGULAR LIQUID-ELASTIC SHELL COUPLED SYSTEM

作　　者：刘习军[1] 高媛媛[1] 张素侠[1] 郭季平[1] 

机构地区：[1]天津大学机械工程学院,天津300072

出　　处：《机械强度》2011年第5期660-665,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金(10572101);天津市重点项目(09JCZDJC26800);863项目(2007AA04Z209)资助~~

摘　　要：从流体运动微分方程组和边界条件出发,利用拉格朗日方程,建立矩形弹性壳液耦合系统的非线性振动方程组,并进行数学仿真计算,得到产生稳定的低频大幅重力波的条件及重力波和壳的幅频曲线,数值计算结果与实验现象吻合较好。According to fluid movement differential equations and boundary conditions,using Lagrange equation,nonlinear vibration equations of the rectangular shell fluid coupled system are established.By mathematical simulation,the conditions of appearing stable low-frequency and large magnitude gravity wave and rate frequency curves of gravity wave and shell are got.The numerical results and experimental phenomena are in good agreement.

关 键 词：壳液耦合系统 重力波 非线性振动 拉格朗日方程 

分 类 号：O322[理学—一般力学与力学基础] O351.2[理学—力学]