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contributor authorJ. R. Hutchinson
date accessioned2017-05-08T23:17:00Z
date available2017-05-08T23:17:00Z
date copyrightSeptember, 1984
date issued1984
identifier issn0021-8936
identifier otherJAMCAV-26240#581_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97983
description abstractAn exact solution for the natural frequencies of a thick free circular plate is compared to approximate solutions. The exact solution is a series solution of the general linear elasticity equations that converges to the correct natural frequencies. The approximate solutions to which this exact solution is compared are the Mindlin plate theory and a modification of a solution method proposed by Pickett. The comparisons clearly show the range of applicability of the approximate solutions as well as their accuracy. The choice of a best shear coefficient for use in the Mindlin plate theory is considered by evaluating the shear coefficient that would make the exact and modified Pickett method match the Mindlin plate solution.
publisherThe American Society of Mechanical Engineers (ASME)
titleVibrations of Thick Free Circular Plates, Exact Versus Approximate Solutions
typeJournal Paper
journal volume51
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3167677
journal fristpage581
journal lastpage585
identifier eissn1528-9036
keywordsPlates (structures)
keywordsVibration
keywordsShear (Mechanics)
keywordsFrequency
keywordsElasticity AND Equations
treeJournal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003
contenttypeFulltext


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