The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M<sub>0</sub>

Zhao Xing-hua

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(11): 951-962

Zhao Xing-hua. The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M0[J]. Applied Mathematics and Mechanics, 1994, 15(11): 951-962.

Citation:

Zhao Xing-hua. The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M₀[J]. Applied Mathematics and Mechanics, 1994, 15(11): 951-962.

Zhao Xing-hua. The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M0[J]. Applied Mathematics and Mechanics, 1994, 15(11): 951-962.

Citation:

Zhao Xing-hua. The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M₀[J]. Applied Mathematics and Mechanics, 1994, 15(11): 951-962.

PDF( 580 KB)

The Asymptotic Solving Equations of Thick Ring Shell and it’s Solution under Moment M₀

Zhao Xing-hua

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

Received Date: 1993-12-15
Publish Date: 1994-11-15

Abstract

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

FullText(HTML)

References(6)

References

[1]	F111gge,W.,Stresses in Shells,(1980).
[2]	钱伟长、郑思梁,轴对称圆环壳的一般解,应用数学和力学,1(3)(1980).
[3]	钱伟长、吴明德.U型波纹管的华线性特性摄动法计算,应用数学和力学,4(5)(1983).
[4]	Timoshenko,S,and J. N. Goodier,Theorg of Elosticity,(1951).
[5]	赵兴华、蒋智翔、景士都,弹性波形厚壳的应力和变形分析,清华大学研究报告,(1986).
[6]	Chien Wei-zang sad Ho Shui-tsiag,Asymptotic method on the problems of thin elastic ring shell with rotational symmetrical load,The Engineering Reportr of TriKghua University,3(2) (1948).