On Assumed Displacements for the Rectangular Plate Bending Element-Reference-Cited by-同舟云学术

On Assumed Displacements for the Rectangular Plate Bending Element

Published:1967-10 Issue:682 Volume:71 Page:722-724
ISSN:0368-3931
Container-title:The Journal of the Royal Aeronautical Society
language:en
Short-container-title:J. R. Aeronaut. Soc.

Author:

Dawe D. J.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Reference9 articles.

1. The Finite Element Method for Analysis of Elastic Isotropic and Orthotropic Slabs;Zienkiewicz;Proc Inst Civ Engrs,1964

2. BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD

3. 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).

4. 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.

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