回转对称结构应力分析新方法

唐国安; 丁俊; 徐小峰

回转对称结构应力分析新方法

复旦大学应用力学系, 上海 200433

详细信息

作者简介:
唐国安(1962~ ),男,教授.

中图分类号: O175.14
计量
- 文章访问数: 2349
- HTML全文浏览量: 168
- PDF下载量: 570
- 被引次数: 0
出版历程
- 收稿日期: 1998-01-14
- 修回日期: 1999-06-20
- 刊出日期: 2000-01-15

A New Method for Stress Analysis of a Cyclically Symmetric Structure

Department of Applied Mechanics, Fudan University, Shanghai 200433, P R China

摘要

摘要: 提出了回转对称结构在任意荷载作用下的应力分析新方法.先利用离散Fourier变换,将整个回转对称结构的分析等价地分解为一系列带有复数约束条件的单个扇区分析.然后又再构造了由两个完全相同扇区构成的虚拟结构,并证明了只要在虚拟结构上施加适当的外力和实数约束条件,那么虚拟结构的位移结果与原来单个扇区在复数约束条件的解答是完全一致的.虚拟结构在实数约束条件下的应力分析几乎所有的通用有限元程序都可以解决.因此采用该新方法,现成的有限元程序无需进行任何修改就能用于回转对称结构的应力分析.
- 回转对称结构 /
- 有限元 /
- 应力分析
Abstract: In this paper,a computational method for finite element stress analysis of a cyclically symmetric structure subjected to arbitrary loads is provided.At first,using discrete Fourier transformation technique,the complete structure is analyzed by considering only one sector with appropriate complex constraints on its boundary with the adjacent sectors.Next,an imaginary structure which is composed of two identically overlapping sectors is constructed,and that the complex constraints mentioned above can be equivalently replaced by a set of real constraints on this imaginary structure is proved.Therefore,the stress analysis of a cyclically symmetric structure can be solved conveniently by most of finite element programs.
- cyclically symmetric structure /
- finite element method /
- stress analysis

HTML全文

参考文献(7)

[1]	Thomas D L.Dynamics of rotationally periodic structures[J].Internat J fr Numer Methods Engrg,1979,14(1):81～102.
[2]	Ansys User's Manual Revision 5.0[CP].Swanson Analysis System,Inc.
[3]	Mechnik P.Consideration of constraints within the finite element method by means of matrix operators[J].Internat JNumer Methods Engrg,1991,31(5):909～926.
[4]	Lai.Application ofdiscrete Fourierseriesto thestress analysis of axisym metric solids[J].Internat J Numer Methods Engrg,1991,31(4):619～647.
[5]	Joseph Weaver.Theory of Discrete and Continuous Fourier Analysis[M].John Wiley & Sons Inc,1987,235～267.
[6]	Bathe J.ADINA-A Finite Element Program for Automatic Dynamic Incremental Nonlinear Analysis[R].Report AE81-1,MIT,September 1981.
[7]	Cook R D.Concepts and Applications of Finite Element Analysis[M].Second edition,John Wiley &Sons,1981.