Free vibration of rectangular plates of arbitrary thickness with one or more edges clamped

Iyengar, Sundara Raja KT and Raman, PV (1980) Free vibration of rectangular plates of arbitrary thickness with one or more edges clamped. In: Journal of Sound and Vibration, 71 (4). pp. 463-472.

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Abstract

Frequencies of free vibration of rectangular plates of arbitrary thickness, with different support conditions, are calculated by using the Method of Initial Functions (MIF), proposed by Vlasov. Sixth and fourth order MIF theories are used for the solution. Numerical results are presented for three square plates for three thickness ratios. The support conditions considered are (i) three sides simply supported and one side clamped, (ii) two opposite sides simply supported and the other two sides clamped and (iii) all sides clamped. It is found that the results produced by the MIF method are in fair agreement with those obtained by using other methods. The classical theory gives overestimates of the frequencies and the departures from the MIF results increase for higher modes and larger thickness ratios.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Ltd.
Additional Information:	Copyright of this article belongs to Elsevier Ltd., 1980
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	29 Dec 2009 11:54
Last Modified:	19 Sep 2010 05:52
URI:	http://eprints.iisc.ac.in/id/eprint/24867

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