A New Method for Stress Analysis of a Cyclically Symmetric Structure

Tang Guoan; Ding Jun; Xu Xiaofeng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2000 > (1): 80-86

Tang Guoan, Ding Jun, Xu Xiaofeng. A New Method for Stress Analysis of a Cyclically Symmetric Structure[J]. Applied Mathematics and Mechanics, 2000, (1): 80-86.

Citation:

Tang Guoan, Ding Jun, Xu Xiaofeng. A New Method for Stress Analysis of a Cyclically Symmetric Structure[J]. Applied Mathematics and Mechanics, 2000, (1): 80-86.

Citation:

Tang Guoan, Ding Jun, Xu Xiaofeng. A New Method for Stress Analysis of a Cyclically Symmetric Structure[J]. Applied Mathematics and Mechanics, 2000, (1): 80-86.

PDF( 294 KB)

A New Method for Stress Analysis of a Cyclically Symmetric Structure

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

Received Date: 1998-01-14
Rev Recd Date: 1999-06-20
Publish Date: 2000-01-15

Abstract

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

FullText(HTML)

References(7)

References

[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.