Axisymmetrical Elements of Thin Shell of Revolution Corresponding to Different Types of Variational Principles

Zhang She-guang; Chen Wan-ji

Volume 7 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(7): 605-616

Zhang She-guang, Chen Wan-ji. Axisymmetrical Elements of Thin Shell of Revolution Corresponding to Different Types of Variational Principles[J]. Applied Mathematics and Mechanics, 1986, 7(7): 605-616.

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Axisymmetrical Elements of Thin Shell of Revolution Corresponding to Different Types of Variational Principles

Zhang She-guang¹,
Chen Wan-ji²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Institute of Engineering Mechanics, D. I. T., Dalian

Received Date: 1985-03-20
Publish Date: 1986-07-15

Abstract

Abstract

The purpose of this paper is to investigate, to some extent, the influnce of variational constraints on the finite element properties, which are based on different types of variational principles. Taking axisymmetrical elements of thin shell of revolution(abbreviated as TSR element) as comparative elements, and with the same geometrical description, we derive seven kinds of TSR hybrid elements and two kinds of TSR conforming elements corresponding to three types of hybrid variational principles and potential energy principle respectively. By analysing the element stiffness formulations and comparing the numerical calculations, such as corrugated shell, we discuss the differences in properties of different models, and the adaptability, limitation as well as relationship between two types of models. We also point out a divergence case of TSR hybrid displacement element, and suggest two kinds of more acceptable TSR elements.

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References(15)

References

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