Vibration of antisymmetric angle-ply laminated plates under higher order shear theory
This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply suppor...
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2016
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my.utm.714992017-11-15T03:43:45Z http://eprints.utm.my/id/eprint/71499/ Vibration of antisymmetric angle-ply laminated plates under higher order shear theory Javed, S. Viswanathan, K. K. Aziz, Z. A. Karthik, K. Lee, J. H. Q Science (General) QA Mathematics This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply supported edges of plates. The coupled differential equations are obtained in terms displacement and rotational functions. These displacement and rotational functions are approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The antisymmetric angle-ply fiber orientation are taken as design variables. Numerical results enable us to examine the frequencies for various geometric and material parameters and accuracy and effectiveness of the proposed method is also verified by comparative study. Techno Press 2016 Article PeerReviewed Javed, S. and Viswanathan, K. K. and Aziz, Z. A. and Karthik, K. and Lee, J. H. (2016) Vibration of antisymmetric angle-ply laminated plates under higher order shear theory. Steel and Composite Structures, 22 (6). pp. 1281-1299. ISSN 1229-9367 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008608295&doi=10.12989%2fscs.2016.22.6.1281&partnerID=40&md5=064b3db7985780a4f33ba71769c26f49 |
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Q Science (General) QA Mathematics Javed, S. Viswanathan, K. K. Aziz, Z. A. Karthik, K. Lee, J. H. Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
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This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply supported edges of plates. The coupled differential equations are obtained in terms displacement and rotational functions. These displacement and rotational functions are approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The antisymmetric angle-ply fiber orientation are taken as design variables. Numerical results enable us to examine the frequencies for various geometric and material parameters and accuracy and effectiveness of the proposed method is also verified by comparative study. |
format |
Article |
author |
Javed, S. Viswanathan, K. K. Aziz, Z. A. Karthik, K. Lee, J. H. |
author_facet |
Javed, S. Viswanathan, K. K. Aziz, Z. A. Karthik, K. Lee, J. H. |
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Javed, S. |
title |
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
title_short |
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
title_full |
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
title_fullStr |
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
title_full_unstemmed |
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
title_sort |
vibration of antisymmetric angle-ply laminated plates under higher order shear theory |
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Techno Press |
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2016 |
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http://eprints.utm.my/id/eprint/71499/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008608295&doi=10.12989%2fscs.2016.22.6.1281&partnerID=40&md5=064b3db7985780a4f33ba71769c26f49 |
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