Vibrating modes for simply supported polar-orthotropic sector plates
- 1 October 1975
- journal article
- research article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 58 (4) , 841-845
- https://doi.org/10.1121/1.380731
Abstract
A method is shown which will provide natural frequencies and mode shapes for the free vibrations of a simply supported polar orthotropic sectorial plate. The special case of a wedge‐shaped plate is also treated. The solution applies to any sectorial plate with radial edges simply supported and arbitrary boundary conditions along the circular edges. A series solution which converges rapidly for many natural frequencies is obtained for radial, circular, and mixed modes. An evaluation of the affect of plate orthotropy on the modes is presented. The solution is easily reduced to the isotropic case. Subject Classification: 40.24.Keywords
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