A New Quadrilateral Thin Plate Element Based on the Membrane-Plate Similarity Theory

HUANG Ruo-yu; ZHENG Chang-liang; ZHONG Wan-xie; YAO Wei-an

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(3): 239-248

HUANG Ruo-yu, ZHENG Chang-liang, ZHONG Wan-xie, YAO Wei-an. A New Quadrilateral Thin Plate Element Based on the Membrane-Plate Similarity Theory[J]. Applied Mathematics and Mechanics, 2002, 23(3): 239-248.

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A New Quadrilateral Thin Plate Element Based on the Membrane-Plate Similarity Theory

State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P R China

Received Date: 2000-12-12
Rev Recd Date: 2001-08-26
Publish Date: 2002-03-15

Abstract

Abstract

A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending.Because of avoiding the difficulty of c¹ continuity,the construction of thin plate elements becomes easier.The similarity theory and its applications were discussed more deeply,and a new four nodes,sixteen D.O.F(degree of freedom)thin plate element was presented on the base of the similarity theory.Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.
- plate bending,
- membrane-plate similarity,
- convergence,
- finite element

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References(7)

References

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