浸没的球面各向同性球壳自由振动的中厚壳理论  

MODERATELY THICK SHELL THEORY ANALYSIS OF FREE VIBRATIONS OF SUBMERGED SPHERICALLY ISOTROPIC SPHERICAL SHELL

作　　者：丁皓江[1] 陈伟球[1] 

机构地区：[1]浙江大学

出　　处：《上海力学》1995年第1期1-12,共12页Chinese Quarterly Mechanics

基　　金：国家自然科学基金

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个辅助变量可以得到两类振动及其频率方程。对频率方程作了简化并就算例进行了相应的探讨。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.

关 键 词：球面各向同性 自由振动 频率方程 圆球壳 

分 类 号：O325[理学—一般力学与力学基础]