Hamid R.A. Alani
Not Available
Issam B. Nasser
Not Available
ABSTRACT
Macro-elements play a big role in reducing number of equations to be solved in finite-element analysis. This is because a single macro-element will represents many finite elements. Two types of quadratic quadrilateral plate bending macro-elements were developed in this paper. These macro-elements are based on equivalent energy theory. Implementation of these macro-elements in the analysis showed reduction in number of equations and computer time and excellent results were achieved. These new developed macro-elements were tested and the results were compared with the result conventional plate bending finite element solutions and with closed form solutions if available.
PDF References Citation
How to cite this article
Hamid R.A. Alani and Issam B. Nasser, 2001. Developement of Quadratic Plate Bending Macro-Elements. Journal of Applied Sciences, 1: 417-425.
DOI: 10.3923/jas.2001.417.425
URL: https://scialert.net/abstract/?doi=jas.2001.417.425
DOI: 10.3923/jas.2001.417.425
URL: https://scialert.net/abstract/?doi=jas.2001.417.425
REFERENCES
- Armanios, E.A. and H.M. Negm, 1983. An improved rectangular element for plate bending analysis. Comput. Struct., 16: 677-686.
Direct Link - Hughes, T.J.R., R.L. Taylor and W. Kanolnululchai, 1977. A simple and efficient finite element for plate bending. Int. J. Numerical Method Eng., 11: 1529-1543.
CrossRefDirect Link - Pugh, E.D.L., E. Hinton and O.C. Zienkiewicz, 1978. A study of quadrilateral plate bending elements with reduced integration. Int. J. Num. Meth. Eng., 12: 1059-1079.
CrossRefDirect Link - Rock, T.A. and E. Hinton, 1976. A finite element methods for the free vibration of plates allowing for transverse shear deformation. Comput. Struct., 6: 37-44.
Direct Link - Timoshenko, S. and S. Woinowsky-Krieger, 1959. Theory of Plates and Shells. 2nd Edn., McGraw-Hill Book Co., New York, pp: 580.
Direct Link