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Vibration of simply-supported trapezoidal plates II. Unsymmetric trapezoids

Chopra, I and Durvasula, S (1972) Vibration of simply-supported trapezoidal plates II. Unsymmetric trapezoids. In: Journal of Sound and Vibration, 20 (2). pp. 125-134.

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Official URL: http://dx.doi.org/10.1016/0022-460X(72)90416-6


This paper deals with the investigation of the vibration characteristics of simply-supported unsymmetric trapezoidal plates. For numerical calculations, the relationship between the eigenvalue problems of a polygonal simply-supported plate and polygonal membrane is again effectively utilized. The Galerkin method is applied, with the deflection surface expressed in terms of a Fourier sine series in transformed coordinates. Numerical values for the first seven to eight frequencies for different geometries of the unsymmetric trapezoid are presented in the form of tables. Also the nodal patterns for a few representative configurations are presented.

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: 24 Jun 2010 09:34
Last Modified: 19 Sep 2010 06:09
URI: http://eprints.iisc.ac.in/id/eprint/28606

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