A Rectangular Element of Thin Plates Based upon the Generalized Variational Principles

Chien Wei-zhang; Wang Gang

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Chien Wei-zhang, Wang Gang. A Rectangular Element of Thin Plates Based upon the Generalized Variational Principles[J]. Applied Mathematics and Mechanics, 1989, 10(11): 947-953.

Citation:

Chien Wei-zhang, Wang Gang. A Rectangular Element of Thin Plates Based upon the Generalized Variational Principles[J]. Applied Mathematics and Mechanics, 1989, 10(11): 947-953.

Citation:

Chien Wei-zhang, Wang Gang. A Rectangular Element of Thin Plates Based upon the Generalized Variational Principles[J]. Applied Mathematics and Mechanics, 1989, 10(11): 947-953.

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A Rectangular Element of Thin Plates Based upon the Generalized Variational Principles

Chien Wei-zhang¹,
Wang Gang²

1.
Shanghai University of Technology, Shanghai;
2.
Shanghai Institute of Railway Technology; Shanghai Institute of Appl. Math, and Mech., Shanghai

Received Date: 1988-05-01
Publish Date: 1989-11-15

Abstract

Abstract

Based on generalized variational principles, an element called MR-12 was constructed for the static and dynamic analysis of thin plates with orthogonal anisotropy. Numerical results showed that this incompatible element converges very rapidly and has good accuracy. It was demonstrated that generalized varialional principles arc useful and effective in founding incompatible clement.Moreover, element MR-12 is easy for implementation since it does not differ very much from the common rectangular element R-12 of thin plate.

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References(3)

References

[1]	钱伟长.《广义变分原理》.知识出版社(1985).
[2]	Chien Wei-zang,Incompatible plate elements based upon generalized varitional principles,Hybrid and Mixed Finite Element Method,eds.A.N.Atluri,R.H.Gallagher and O.C.Zienkienwiez(1983),381-404.
[3]	谢贻权、何福保,《弹性和塑性力学中的有限单元法》.机械工业出版社(1981).