复杂边界条件下半球壳受迫振动响应分析  

Forced vibration response analysis of hemispherical shell undercomplex boundary conditions

作　　者：庞福振[1] 张明[1] 高聪 郑嘉俊 李海超[1] PANG Fu-zhen;ZHANG Ming;GAO Cong;ZHENG Jia-jun;LI Hai-chao(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,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

出　　处：《振动工程学报》2024年第3期374-383,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(U2006229,52101351)。

摘　　要：基于半解析法求解得到中厚半球壳的稳态振动与瞬态振动响应。基于一阶剪切变形理论推导球壳结构能量表达式,引入Jacobi多项式和傅里叶级数表示半球壳结构的轴向和径向位移,利用Ritz法得到半球壳的稳态振动响应,与有限元法结果对比验证了本文方法的有可行性。在此基础上,对半球壳在不同边界条件、截顶角和壳体厚度下稳态振动与瞬态振动特性规律进行了分析总结。The steady-state and transient vibration responses of a medium thick hemispherical shell are obtained based on semi-ana-lytical method.According to the first-order shear deformation theory,the energy expression of the spherical shell structure is de-duced.The Jacobi orthogonal polynomials and Fourier series are introduced to represent the axial and circumferential displacements of the hemispherical shell structure.The steady vibration response of the hemispherical shell is obtained by Ritz method.The re-sults are compared with the finite element method to verify the feasibility of the presented method in this paper.On this basis,the characteristics of steady and transient vibration of the hemispherical shell under different boundary conditions,truncated angle and shell thickness are summarized and analyzed.

关 键 词：半球壳 稳态振动 半解析法 瞬态振动 

分 类 号：O327[理学—一般力学与力学基础]