厚环壳的渐近求解方程和作用弯矩M＿0的解

The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M_0

本文从三维弹性力学基本方程出发，利用几何小参数ａ＝ｒ＿０／Ｒ＿摄动展开，得到了任意载荷下，厚环壳的各级渐近求解方程。它可以分成两组类似平面应变问题和扭转问题的独立方程组。用此方程求得了厚环壳受弯矩Ｍ＿０作用的两级渐近解。

In this paper,from the fundamental equations of three dimensional elastic mechanics,I have found a sequence of asymptotic solution equations of thick ring shells(or body)applied arbitrary loads by the perturbation method based upon a geometric small parameter a=r_0/R_0,which may be divided into two indepondent equation groups which are similar to the equation groups for plane strain and torsional problems.Using these equations.I have aslo found the first order and second order approximate solutions of thick ring shell applied moment M_0 are obtained.