厚环壳的渐近求解方程和作用弯矩M<sub>0</sub>的解

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厚环壳的渐近求解方程和作用弯矩M₀的解

Shangghai Unirersity; Shanghai Institute of Applied Mathematfcs and Mechanics, Shanghai

摘要: 本文从三维弹性力学基本方程出发,利用几何小参数a=r₀/R₀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M₀作用的两级渐近解。
- 厚环壳 /
- 摄动 /
- 渐近方程 /
- 应力分析
Abstract: In this paper,from the fundamental equations of three dimensional elastic mechanics,I have found a sequence of asy m ptotic solution equations of thick ring shells (or body) applied arbitrary loads by the perturbation method based upon a geometric small parameter α=r_o/R_o,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_o are obtained.
- ring shell /
- perturbation /
- asymptotic equations /
- stress analysis

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