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Vibration of circular and annular plates using finite elements

✍ Scribed by J. Kirkhope; G. J. Wilson

Publisher: John Wiley and Sons
Year: 1972
Tongue: English
Weight: 505 KB
Volume: 4
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620040205

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Three-dimensional vibrations of thick circular and annular plates are analyzed by a "nite element method which, with a properly assumed set of displacement "eld, is di!erent from the traditional 3-D "nite element analysis and is reduced to a sequence of 2-D analyses one for each circumferential wave

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The Ritz method is applied in a three-dimensional (3-D) analysis to obtain accurate frequencies for thick circular and annular plates. The method is formulated in a manner which allows one to have any combination of free or fixed plate boundaries. Admissible functions for the three displacement comp

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This paper deals with the free vibrations of circular and annular plates in contact with a finite fluid domain on one side; the plates are placed in an annular (or circular) aperture of an infinite rigid wall and the fluid is assumed to be incompressible and inviscid. The cases of a fluid domain lim

CLASSICAL SOLUTION SHAPE FUNCTIONS IN TH

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The objective of this work is to present a new method for the dynamic and static analysis of thin, elastic, isotropic, non-uniform circular and annular plates. The method is a combination of plate theory and finite element analysis. The plate is divided into one circular and many annular finite elem