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Research Article
 

Cubic Macro-Element for Plates under Bending



Hamid R.A. Alani
 
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ABSTRACT

Macro-elements are one of the powerful means in reducing number of equations to be solved in the finite element analyses. Especially when high order finite elements are used. This is because one Macro-element will represent many finite elements. In this paper a cubic macro-element for the analysis of plates under bending is developed. Implementations of the macro-elements in the analyses showed reduction in number of equations and excellent results were achieved. This new developed macro-element was tested and the results were compared with the results of conventional plate bending finite element solutions and with closed form solution if available.

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  How to cite this article:

Hamid R.A. Alani , 2002. Cubic Macro-Element for Plates under Bending. Journal of Applied Sciences, 2: 1084-1091.

DOI: 10.3923/jas.2002.1084.1091

URL: https://scialert.net/abstract/?doi=jas.2002.1084.1091

REFERENCES
1:  Al-Ani, H.R.A., 1983. Dynamic and static analysis of large structures using energy equivalent macro-elements. Ph.D. Thesis, University of Colorado, Boulder.

2:  Alani, H.R. and I.B. Nasser, 2001. Development of quadratic plate bending macro-elements. Pak. J. Applied Sci., 1: 417-425.

3:  Hrabok, M.M. and T.M. Hrudey, 1984. A review and catalogue of plate bending finite elements. Comput. Struct., 19: 479-495.
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4:  Reddy, J.N., 1985. An Introduction to Finite Element Method. McGraw-Hill, New York.

5:  Timoshenko, S. and S. Woinowsky-Krieger, 1959. Theory of Plates and Shills. 2nd Edn., McGraw-Hill Inc., Tokyo, Japan.

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