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On quasi-degeneracies in plate vibration problems

Nair, PS and Durvasula, S (1973) On quasi-degeneracies in plate vibration problems. In: International Journal of Mechanical Sciences, 15 (12). pp. 975-986.

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In plotting the variation of frequencies with geometric parameters such as side ratio, skew angle, thickness taper, etc. in detailed studies of the vibration characteristics of plates, situations are encountered such as crossing of the frequency curves or the tendency of these curves to come close together and veer away from each other. These have been generally referred to as “frequency crossings” and “transitions” respectively. The latter may preferably be referred to as “quasi-degeneracies”. In the literature there appears to be some ambiguity in the analysis and interpretation of these features. In this paper, a clarification of some of these questions as regards rectangular and skew plates is presented by making use of concepts from physics dealing with molecular vibrations.

Item Type: Journal Article
Publication: International Journal of Mechanical Sciences
Publisher: Elsevier Science
Additional Information: Copy right of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 08 Jan 2010 06:42
Last Modified: 08 Jan 2010 06:42
URI: http://eprints.iisc.ac.in/id/eprint/23016

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