General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅲ)- Calculation for C-Shaped Bellows

ZHU Wei-ping; HUANG Qian

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(10): 1025-1034

ZHU Wei-ping, HUANG Qian. General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅲ)- Calculation for C-Shaped Bellows[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1025-1034.

Citation:

PDF( 385 KB)

General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅲ)- Calculation for C-Shaped Bellows

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

Received Date: 2001-06-05
Rev Recd Date: 2002-04-11
Publish Date: 2002-10-15

Abstract

Abstract

This is one of the applications of Part(Ⅰ),in which the angular stiffness,the lateral stiffness and the corresponding stress distributions of C-shaped bellows were calculated. The bellows was divided into protruding sections and concave sections for the use of the general solution(Ⅰ),but the continuity of the stress resultants and the deformations at each joint of the sections were entirely satisfied. The present results were compared with those of the other theories and experiments,and are also tested by the numerically integral method. It is shown that the governing equation and the general solution(Ⅰ) are very effective.
- theory of flexible shell,
- circular ring shell,
- C-shaped bellows,
- overall bending,
- general solution

FullText(HTML)

References(11)

References

[1]	钱伟长,郑思梁. 轴对称圆环壳的复变量方程和轴对称细环壳的一般解[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. 半圆弧波纹管的计算--细环壳理论的应用[J]. 清华大学学报,1979,19(1):84-99.
[4]	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.
[5]	黄黔. 用数值积分的初参数法解波纹管[J]. 应用数学和力学,1982,3(1):101-112.
[6]	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.
[7]	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.
[8]	CHEN Shan-lin. General solution of the bending of ring shells with equations in complex[A]. In:YEH Kai-yuan Ed. Progress in Applied Mechanics[C]. Dordrecht:Martinus Nijhoff Publishers,1987,181-192.
[9]	朱卫平,黄黔,郭平. 柔性圆环壳在子午面内整体弯曲的复变量方程及细环壳的一般解[J]. 应用数学和力学,1999,20(9):889-895.
[10]	ZHU Wei-ping,HUANG Qian,GUO Ping,et al. General solution for C-shaped bellows overall-bending problems[A]. In:N E Shanmugam,Y J Richard Liew,V Thevendran Eds. Thin-Walled Structures-Research and Development,2nd ICTWS[C].1998,Singapore;Oxford,UK:Elsevier Science Ltd,1998,477-484.
[11]	朱卫平. 用初参数法解C型波纹管在子午面内整体弯曲[J]. 力学季刊,2000,21(3):311-315.