Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells

Zhu Weiping; Huang Qian; Guo Ping

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 889-895

Zhu Weiping, Huang Qian, Guo Ping. Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells[J]. Applied Mathematics and Mechanics, 1999, 20(9): 889-895.

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Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

Received Date: 1998-09-07
Rev Recd Date: 1999-04-08
Publish Date: 1999-09-15

Abstract

Abstract

Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E.L.Axelrad's equations of flexible shells of revolution under asymmetrical loading.It turns out that the equations are analogous to Novozhilov's equations of symmetrical ring shells,where general solutions have been given by W.Z.Chien.Therefore,by analogy with Chien's solution,a general solution for equations of the slender ring shells is put forward,which can be used to solve bellows overall-bending problems.
- flexible shells,
- shells of revolution,
- circular ring shells,
- curved-tubes,
- bellows

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References(9)

References

[1]	钱伟长,郑思梁.轴对称圆环壳的复变量方程和轴对称环壳的一般解[J].清华大学学报,1979,19(1):27~47.
[2]	钱伟长,郑思梁.轴对称圆环壳的一般解[J].应用数学和力学,1980,1(3):287~299.
[3]	钱伟长,郑思梁.半圆弧波纹管的计算——环壳一般解的应用[J].应用数学和力学,1981,2(1):97~111.
[4]	黄黔.轴对称载荷下旋转壳弹性小应变的轴向任意大挠度问题[J].应用数学和力学,1986,7(2):115~125.
[5]	黄黔.摄动初参数法解轴对称壳几何非线性问题.[J].应用数学和力学,1986,7(6):533~543.
[6]	Axelrad E L.Flexible Shells,Moscow:Science,1976.(in Russian)
[7]	Axelrad E L.Theory of Flexible Shells[M].New York:Elsevier Science Publishing Company,Inc,1987.
[8]	Blazej Skoczen,Jacek Skrzypek.Application of the equivalent column concept to thestability of axially compressed bellows[J].Int J Mech Sci,1992,34(11):901~916.
[9]	Zhu Weiping,Huang Qian,Guo Ping,Chien Weizang.General solution for C-shapedbellows overall-bending problems[A].Proc 2nd I CIW S1998,Singapore[C].Oxford England:Elsevier Science Ltd,1998,477~484.