FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY

FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY

Two-dimensional boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method to study the title problem. In general, it is found that this method gives better results than the other traditional method such as boundary integral equation methods, Spline methods, Chebyshev collo...

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Main Authors: A.P Gupta, N. Bhardwaj, K.K. Choong
Format: Article
Language:English
Published: IIUM Press, International Islamic University Malaysia 2010-09-01
Series:International Islamic University Malaysia Engineering Journal
Online Access:http://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/79
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spelling doaj-93987fa223bb432c9af109f30c9a68e62020-11-25T03:50:16ZengIIUM Press, International Islamic University MalaysiaInternational Islamic University Malaysia Engineering Journal1511-788X2289-78602010-09-017210.31436/iiumej.v7i2.79FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARYA.P GuptaN. BhardwajK.K. ChoongTwo-dimensional boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method to study the title problem. In general, it is found that this method gives better results than the other traditional method such as boundary integral equation methods, Spline methods, Chebyshev collocation method, Frobenius method etc. The thickness is taken to be linearly varying in two orthogonal directions. Comparisons in particular cases have been made with the existing results in the literature. Convergence of frequencies of at least up to five significant figures is obtained. Results showing the variation in frequencies with taper parameters and aspect ratios are presented in tabular form. Mode shapes are shown using three-dimensional graphs of plates in displaced configurations.http://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/79
collection DOAJ
language English
format Article
sources DOAJ
author A.P Gupta
N. Bhardwaj
K.K. Choong
spellingShingle A.P Gupta
N. Bhardwaj
K.K. Choong
FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
International Islamic University Malaysia Engineering Journal
author_facet A.P Gupta
N. Bhardwaj
K.K. Choong
author_sort A.P Gupta
title FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
title_short FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
title_full FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
title_fullStr FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
title_full_unstemmed FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY
title_sort free vibration of isotropic half-elliptic plates of linearly varying thickness with clamped curved boundary
publisher IIUM Press, International Islamic University Malaysia
series International Islamic University Malaysia Engineering Journal
issn 1511-788X
2289-7860
publishDate 2010-09-01
description Two-dimensional boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method to study the title problem. In general, it is found that this method gives better results than the other traditional method such as boundary integral equation methods, Spline methods, Chebyshev collocation method, Frobenius method etc. The thickness is taken to be linearly varying in two orthogonal directions. Comparisons in particular cases have been made with the existing results in the literature. Convergence of frequencies of at least up to five significant figures is obtained. Results showing the variation in frequencies with taper parameters and aspect ratios are presented in tabular form. Mode shapes are shown using three-dimensional graphs of plates in displaced configurations.
url http://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/79
work_keys_str_mv AT apgupta freevibrationofisotropichalfellipticplatesoflinearlyvaryingthicknesswithclampedcurvedboundary
AT nbhardwaj freevibrationofisotropichalfellipticplatesoflinearlyvaryingthicknesswithclampedcurvedboundary
AT kkchoong freevibrationofisotropichalfellipticplatesoflinearlyvaryingthicknesswithclampedcurvedboundary
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