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矩形弹性壳液耦合系统的非线性振动分析
引用本文:刘习军,高媛媛,张素侠,郭季平.矩形弹性壳液耦合系统的非线性振动分析[J].机械强度,2011,33(5):660-665.
作者姓名:刘习军  高媛媛  张素侠  郭季平
作者单位:天津大学机械工程学院,天津,300072
基金项目: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.

关 键 词:壳液耦合系统  重力波  非线性振动  拉格朗日方程

ANALYSIS OF NONLINEAR VIBRATION OF RECTANGULAR LIQUID-ELASTIC SHELL COUPLED SYSTEM
LIU XiJun,GAO YuanYuan,ZHANG SuXia,GUO JiPing.ANALYSIS OF NONLINEAR VIBRATION OF RECTANGULAR LIQUID-ELASTIC SHELL COUPLED SYSTEM[J].Journal of Mechanical Strength,2011,33(5):660-665.
Authors:LIU XiJun  GAO YuanYuan  ZHANG SuXia  GUO JiPing
Affiliation:LIU XiJun GAO YuanYuan ZHANG SuXia GUO JiPing(School of Mechanical Engineering,Tianjin University,Tianjin 300072,China)
Abstract: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.
Keywords:Shell-fluid coupled system  Gravity wave  Nonlinear vibration  Lagrange equation  
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