复杂边界条件圆柱壳自由振动特性分析  

Free vibration characteristics analysis of circular cylindrical shell under complex boundary conditions

作　　者：李海超[1] 庞福振[1] 李玉慧 缪旭弘 LI Hai-chao;PANG Fu-zhen;LI Yu-hui;MIAO Xu-hong(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;Naval Research Academy,Beijing 100161,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001 [2]中国人民解放军92578部队,北京100161

出　　处：《振动工程学报》2020年第1期56-63,共8页Journal of Vibration Engineering

基　　金：国家重点研发计划课题(2016YFC0303406);总装预研基金资助项目(6140210020105);国家自然科学基金资助项目(51209052,51679053);中央高校基本科研业务费资助项目(HEUCFD1515,HEUCFM170113);中国博士后基金(2014M552661);海军预研基金

摘　　要：提出一种半解析法来分析圆柱壳结构自由振动特性。将圆柱壳壳结构在轴向方向分解为若干壳段,用沿轴向的Jacobi多项式和沿周向的Fourie r级数来表示各个壳段的位移函数,并采用罚参数法对圆柱壳结构的边界条件和壳段间的连续性条件进行模拟;最后,基于Rayleigh-Ritz法求得圆柱壳结构的自由振动频率。研究表明,该方法具有较好的收敛性,与公开发表文献一致性较高,研究成果可为复杂边界条件下圆柱壳结构自由振动特性分析提供数据积累和方法依据。A semi-analytical method for free vibration characteristics analysis of circular cylindrical shell is proposed.The circular cylindrical shell is divided into several shell segments along the axial direction.The displacement functions of each shell segment are expressed by the Jacobi polynomials and the Fourier series along the axial direction,and the continuity conditions and boundary conditions are simulated by different spring stiffness;Finally,the natural frequencies of circular cylindrical shell are obtained based on Rayleigh-Ritz method.The results show that the presented method has good convergence and high consistency with the published literature.The results of this paper can provide a judging method and data accumulation for free vibration characteristics of circular cylindrical shell with arbitrary boundary conditions.

关 键 词：自由振动 圆柱壳结构 弹簧参数 半解析法 

分 类 号：O326[理学—一般力学与力学基础] TB123[理学—力学]