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On the use of a coordinate transformation for analysis of axisymmetric vibration of polar orthotropic annular plates

Vijayakumar, K and Ramaiah, GK (1972) On the use of a coordinate transformation for analysis of axisymmetric vibration of polar orthotropic annular plates. In: Journal of Sound and Vibration, 24 (2). pp. 165-175.

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Official URL: http://dx.doi.org/10.1016/0022-460X(72)90946-7

Abstract

Estimates of natural frequencies corresponding to axisymmetric modes of flexural vibration of polar orthotropic annular plates have been obtained for various combinations of clamped, simply supported and free edge conditions. A coordinate transformation in the radial direction has been used to obtain effective solutions by the classical Rayleigh-Ritz method. The analysis with this transformation has been found to be advantageous in computations, particularly for large hole sizes, over direct analysis. Numerical results have been obtained for various values of hole sizes and rigidity ratio. The eigenvalue parameter has been found to vary more or less linearly with the rigidity ratio. A comparison with the results for isotropic plates has brought out some interesting features.

Item Type: Journal Article
Publication: Journal of Sound and Vibration
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 12 Jul 2010 09:35
Last Modified: 19 Sep 2010 06:10
URI: http://eprints.iisc.ac.in/id/eprint/29146

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