绕径旋转横观各向同性圆球壳的变形和应力分析  

DEFORMATION AND STRESS ANALYSIS OF A ROTATING SPHERICAL SHELL OF TRANSVERSE ISOTROPY

作　　者：侯宇[1] 何福保[2] 

机构地区：[1]中国计量学院 [2]上海工业大学

出　　处：《上海力学》1995年第2期102-108,共7页Chinese Quarterly Mechanics

基　　金：国家自然科学基金

摘　　要：本文用三维弹性力学理论研究绕径旋转横观各向同性圆球壳的变形和应力分布,给出任意厚度圆球壳的位移和应力的封闭形式解以及数值结果。研究表明球壳上的位移和应力大小与旋转角速度的平方成正比,球面内的正应力远大于径向正应力和剪应力。In this paper, the deformation an.d the stress distribution of a transversely isotropic spherical shell rotating about a diameteral axis is investigated on the basis of three-dimensional elasticity. A closed-form solution and numerical results regarding the displacements and stresses in a spherical shell of arbitray thickness are presented. It is shown that the absolute values of displacements and stresses in the spherical shell are directly proportional to the square of the rotating angular velocity, and the normal stresses on the spherical surface are larger than the normal stress in the radial direction and the shearing stress.

关 键 词：各向同性 圆球壳 应力 弹性力学 三维问题 变形 

分 类 号：O343.2[理学—固体力学]