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On the Free Vibration of Thin Isotropic and Rectangularly Orthotropic Plates Involving Curved Boundaries

✍ Scribed by P.G. Young; S.M. Dickinson

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
524 KB
Volume
165
Category
Article
ISSN
0022-460X

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✦ Synopsis

The Rayleigh-Ritz method is used, with simple polynomials as the admissible functions, to obtain an eigenvalue equation for the free vibration of thin, flat plates which involve curved boundaries defined by polynomial expressions. The approach is used to determine the natural frequencies of several example plates including annular, circular, elliptical and hypocycloidal plates of isotropic and rectangularly orthotropic material. A plate with a more general curved boundary is also considered.

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