Free vibrations of simply supported nonhomogeneous isotropic rectangular plates of bilinearly varying thickness and elastically restrained edges against rotation using Rayleigh-Ritz method |
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Authors: | Yajuvindra Kumar |
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Institution: | Department of Mathematics, M. K. Govt. Degree College Ninowa, Farrukhabad-209 602, Uttar Pradesh, India |
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Abstract: | This paper addresses the free transverse vibrations of thin simply supported nonhomogeneous isotropic rectangular plates of bilinearly varying thickness with elastically restrained edges against rotation. The Gram-Schmidt process has been used to generate two-dimensional boundary characteristic orthogonal polynomials, which have been used in the Rayleigh-Ritz method to study the problem. The lowest three frequencies have been computed for various values of nonhomogeneous parameters, thickness parameters, aspect ratio and flexibility parameters. A comparison of the results with those available in the literature has been made. Three-dimensional mode shapes for the specified plate have been presented. |
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Keywords: | nonhomogeneous rectangular bilinearly varying thickness elastically restrained |
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