Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells
-
摘要: 在З.Л.Аксельрад(E.L.Axelrad)非轴对称载荷下柔性旋转壳线性方程的基础上,导出了圆环壳在子午面内整体弯曲的复变量方程和相应的细环壳方程.该方程可与钱伟长给出了一般解的В.В.Новожилов(V.V.Novozhilov)轴对称环壳方程相类比.通过类比,给出了细环壳在子午面内整体弯曲的一般解.所给出的解可以用来计算波纹管整弯曲的应力和端面位移.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.
-
Key words:
- flexible shells /
- shells of revolution /
- circular ring shells /
- curved-tubes /
- bellows
-
[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.
计量
- 文章访问数: 2445
- HTML全文浏览量: 130
- PDF下载量: 704
- 被引次数: 0