Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness

Free vibration of antisymmetric angle-ply laminated plates with variable thickness is studied. Higher-order shear deformation plate theory (HSDT) is introduced in the present method to remove the shear correction factors and improve the accuracy of transverse shear stresses. The thickness variations...

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Main Authors: Hafizah, A. K. N., Lee, J. H., Aziz, Z. A., Viswanathan, K. K.
Format: Article
Published: Hindawi Limited 2018
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Online Access:http://eprints.utm.my/id/eprint/79940/
http://dx.doi.org/ 10.1155/2018/7323628
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spelling my.utm.799402019-01-28T07:02:15Z http://eprints.utm.my/id/eprint/79940/ Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness Hafizah, A. K. N. Lee, J. H. Aziz, Z. A. Viswanathan, K. K. Q Science (General) Free vibration of antisymmetric angle-ply laminated plates with variable thickness is studied. Higher-order shear deformation plate theory (HSDT) is introduced in the present method to remove the shear correction factors and improve the accuracy of transverse shear stresses. The thickness variations are assumed to be linear, exponential, and sinusoidal. The coupled differential equations are obtained in terms of displacement and rotational functions and approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically by employing the eigensolution techniques with eigenvectors as spline coefficients to obtain the required frequencies. The results of numerical calculations are presented for laminated plates with simply supported boundary conditions. Comparisons of the current solutions and those reported in literature are provided to verify the accuracy of the proposed method. The effects of aspect ratio, number of layers, ply-angles, side-to-thickness ratio, and materials on the free vibration of cylindrical plates are discussed in detail. Hindawi Limited 2018 Article PeerReviewed Hafizah, A. K. N. and Lee, J. H. and Aziz, Z. A. and Viswanathan, K. K. (2018) Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness. Mathematical Problems in Engineering, 2018 . ISSN 1024-123X http://dx.doi.org/ 10.1155/2018/7323628 DOI: 10.1155/2018/7323628
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle Q Science (General)
Hafizah, A. K. N.
Lee, J. H.
Aziz, Z. A.
Viswanathan, K. K.
Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
description Free vibration of antisymmetric angle-ply laminated plates with variable thickness is studied. Higher-order shear deformation plate theory (HSDT) is introduced in the present method to remove the shear correction factors and improve the accuracy of transverse shear stresses. The thickness variations are assumed to be linear, exponential, and sinusoidal. The coupled differential equations are obtained in terms of displacement and rotational functions and approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically by employing the eigensolution techniques with eigenvectors as spline coefficients to obtain the required frequencies. The results of numerical calculations are presented for laminated plates with simply supported boundary conditions. Comparisons of the current solutions and those reported in literature are provided to verify the accuracy of the proposed method. The effects of aspect ratio, number of layers, ply-angles, side-to-thickness ratio, and materials on the free vibration of cylindrical plates are discussed in detail.
format Article
author Hafizah, A. K. N.
Lee, J. H.
Aziz, Z. A.
Viswanathan, K. K.
author_facet Hafizah, A. K. N.
Lee, J. H.
Aziz, Z. A.
Viswanathan, K. K.
author_sort Hafizah, A. K. N.
title Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
title_short Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
title_full Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
title_fullStr Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
title_full_unstemmed Vibration of Antisymmetric Angle-Ply Laminated Plates of Higher-Order Theory with Variable Thickness
title_sort vibration of antisymmetric angle-ply laminated plates of higher-order theory with variable thickness
publisher Hindawi Limited
publishDate 2018
url http://eprints.utm.my/id/eprint/79940/
http://dx.doi.org/ 10.1155/2018/7323628
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score 13.211869