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On Assumed Displacements for the Rectangular Plate Bending Element

Published online by Cambridge University Press:  04 July 2016

D. J. Dawe
D. J. Dawe*
Affiliation:
Structures Department, Royal Aircraft Establishment, Farnborough
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Summary:—

A family of alternative expressions is presented suitable for the representation of the lateral deflection of rectangular plate elements in bending. Such expressions are extensions of a simple polynomial representation assumed in earlier work. The new expressions are such that not all displacement continuity conditions are met completely but, nonetheless, a criterion ensuring convergence of numerical results to true stiffness levels is satisfied. Deflection and natural frequency estimates based on one expression of the proposed family demonstrate rapid convergence and high numerical accuracy.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 71 , Issue 682 , October 1967 , pp. 722 - 724
Copyright
Copyright © Royal Aeronautical Society 1967

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References

1.Bazeley, G. P., Cheung, Y. K., Irons, B. M. R. and Zienkiewicz, O. C. Triangular Plate Elements in Bending: Conforming and Non-Conforming Solutions. Conf Matrix Methods in Struct Mechs, Wright-Patterson Air Base, Ohio, October 1965.Google Scholar
2.Melosh, R. J.Basis for Derivation of Matrices for the Direct Stiffness Method. J AIAA, Vol 1, No 7, pp 1631-7, 1963.Google Scholar
3.Zienkiewicz, O. C. and Cheung, Y. K.The Finite Element Method for Analysis of Elastic Isotropic and Orthotropic Slabs. Proc Inst Civ Engrs, Vol 28, pp 471–488, 1964.Google Scholar
4.Dawe, D. J.A Finite Element Approach to Plate Vibration Problems. J Mech Eng Sci, Vol 7, No 1, pp 28–32, 1965.Google Scholar
5.Clough, R. W. and Tocher, J. L. Finite Element Stiffness Matrices for Analysis of Plate Bending. Conf Matrix Methods in Struct Mechs, Wright-Patterson Air Base, Ohio, October 1965.Google Scholar
6.Argyris, J. H.Matrix Displacement Analysis of Plates and Shells, Ing Archiv, Vol XXXV, No 2, pp 102–142, 1966.CrossRefGoogle Scholar
7.Timoshenko, S. and Woinosky-Krieger, S.Theory of Plates and Shells, 2nd edition. McGraw-Hill, New York, 1959.Google Scholar
8.Timoshenko, S.Vibration Problems in Engineering, 2nd edition. Van Nostrand Co Inc, New York, 1937.Google Scholar
9.Claassen, R. W. and Thorne, C. J. Transverse Vibrations of Thin Rectangular Isotropic Plates. NAVWEPS Rep 7016, NOTS TP 2379, 1960 (US Naval Ordnance Test Station, China Lake, California).Google Scholar