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On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates

✍ Scribed by S.M. Dickinson; A. Di Blasio

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 626 KB
Volume: 108
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(86)80310-8

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✦ Synopsis

Series composed of recently proposed, orthogonal polynomial functions are used in the Rayleigh-Ritz method to generate results for a number of flexural vibration and buckling problems for rectangular isotropic and orthotropic plates. It is demonstrated that the approach yields excellent results not only for natural frequencies and buckling loads but also for the more sensitive mode shape, bending moment and shear force distribution problem.

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