A New Element for Thin Plate of Bending with Curvilinear Boundary——Curvilinear Boundary Quadrilateral Element

Chien Wei-zang; Wang Gang

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(4): 295-300

Chien Wei-zang, Wang Gang. A New Element for Thin Plate of Bending with Curvilinear Boundary——Curvilinear Boundary Quadrilateral Element[J]. Applied Mathematics and Mechanics, 1990, 11(4): 295-300.

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A New Element for Thin Plate of Bending with Curvilinear Boundary——Curvilinear Boundary Quadrilateral Element

Chien Wei-zang¹,
Wang Gang²

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

Received Date: 1988-05-01
Publish Date: 1990-04-15

Abstract

Abstract

This paper presents a curvilinear boundary quadrilateral element for the problem of thin plate of bending with curvilinear boundary. A coordinate transformation of two dimensions is performed in the calculation of FEM. The introduction of an additional stiffness matrix based on the generalized variational principles results in high accuracy and less computation time. The numerical results agree with the analytical solution very well.

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References(4)

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 variational principles,Hybrid and Mixed Finite Element Method,Ed.by A.N.Atluri,R.H.Gallagher and O.C.Zienkienwicz(1983),381-404.
[3]	钱伟长、王刚,基于广义变分原理的矩形薄板单元,应用数学和力学,10,11 (1989), 947-954.
[4]	罗裕发,非正交边界薄板弯曲问题的、一种新单元,计算结构力学,2, 3 (1385).