中细柔性圆环壳整体弯曲的一般解及在波纹管计算中的应用(Ⅲ)——C型波纹管的计算

朱卫平; 黄黔

中细柔性圆环壳整体弯曲的一般解及在波纹管计算中的应用(Ⅲ)——C型波纹管的计算

朱卫平,
黄黔

上海大学上海市应用数学和力学研究所, 上海 200072

详细信息

作者简介:
朱卫平(1962- ),男,江苏南通人,博士,已发表论文20多篇(E-mail:wpzhu@mail.shu.edu.cn).

中图分类号: O343.2
计量
- 文章访问数: 2376
- HTML全文浏览量: 172
- PDF下载量: 505
- 被引次数: 0
出版历程
- 收稿日期: 2001-06-05
- 修回日期: 2002-04-11
- 刊出日期: 2002-10-15

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

摘要

摘要: (Ⅲ)是(Ⅰ)的具体应用.计算了C型波纹管的角向刚度、横向刚度和相应的应力分布.将波纹管的凸面和凹面分开处理,分别应用一般解(Ⅰ),使连接点满足内力和变形连续性条件.所得结果与相应的数值积分解、其它理论解及实验进行了比较.结果表明,中细柔性圆环壳的方程和一般解(Ⅰ)准确可信.
- 柔性壳理论 /
- 中细圆环壳 /
- C型波纹管 /
- 整体弯曲 /
- 一般解
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

HTML全文

参考文献(11)

[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.