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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*
Affiliation:
Structures Department, Royal Aircraft Establishment, Farnborough

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
Copyright
Copyright © Royal Aeronautical Society 1967

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