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浸没的球面各向同性球壳自由振动的中厚壳理论
引用本文:丁皓江,陈伟球.浸没的球面各向同性球壳自由振动的中厚壳理论[J].上海力学,1995,16(1):1-12.
作者姓名:丁皓江  陈伟球
作者单位:浙江大学 (丁皓江),浙江大学(陈伟球)
摘    要:采用六模态的中厚壳理论研究了可压缩流体中球面各向同性球壳的自由振动,即在分析中考虑了剪切变形,旋转惯量和横向正应变的影响,引入5个辅助变量可以理到两类振动及其频率方程,对频率方程作了简化并算例进行了相应的探讨。

关 键 词:球面各向同性  自由振动  频率方程  圆球壳

MODERATELY THICK SHELL THEORY ANALYSIS OF FREE VIBRATIONS OF SUBMERGED SPHERICALLY ISOTROPIC SPHERICAL SHELL
Ding Haojiang Chen Weiqiu.MODERATELY THICK SHELL THEORY ANALYSIS OF FREE VIBRATIONS OF SUBMERGED SPHERICALLY ISOTROPIC SPHERICAL SHELL[J].Chinese Quarterly Mechanics,1995,16(1):1-12.
Authors:Ding Haojiang Chen Weiqiu
Affiliation:Zhejiang University
Abstract:In this paper, an improved shell theory is employed to analyze the free vibrations of a spherically isotropic spherical shell submerged in a compressible fluid medium. The effects of shear deformation, rotary inertia and transverse normal strain are included. Two classes of vibrations are obtained by the introduction of five auxiliary variables. The frequency equations are simplified and numerical results are given and discussed in the end.
Keywords:Spherical isotropy  Spherical shell  Free vibration  Compressible fluid  Fre- quency equaion  
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