Free vibration of symmetric angle-ply laminated truncated conical shells using spline function

Free vibration of symmetric angle-ply laminated truncated conical shells using spline function technique is studied. The equations of motion for conical shells can be obtained by deriving and substituting the proper Lamé parameters of conical shells in the general shell equations. The displacements...

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Main Author:	Md. Khalid, Nur Aisyah
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/32106/5/NuraisyahMdKhalidMFS2013.pdf
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id	my-utm-ep.32106
record_format	uketd_dc
spelling	my-utm-ep.321062017-09-12T08:46:21Z Free vibration of symmetric angle-ply laminated truncated conical shells using spline function 2013-01 Md. Khalid, Nur Aisyah Q Science (General) Free vibration of symmetric angle-ply laminated truncated conical shells using spline function technique is studied. The equations of motion for conical shells can be obtained by deriving and substituting the proper Lamé parameters of conical shells in the general shell equations. The displacements are assumed in the separable form. Since no closed form solutions are generally possible, a numerical solution procedure is adopted in which the displacement functions are approximated by cubic and quintic splines. A generalized eigenvalue problem is obtained which is solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. Parametric studies are made to investigate the effect of circumferential mode number, length ratio and cone angle using different number of layers with different ply orientations on the frequency parameter under two different boundary conditions. 2013-01 Thesis http://eprints.utm.my/id/eprint/32106/ http://eprints.utm.my/id/eprint/32106/5/NuraisyahMdKhalidMFS2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Md. Khalid, Nur Aisyah Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
description	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function technique is studied. The equations of motion for conical shells can be obtained by deriving and substituting the proper Lamé parameters of conical shells in the general shell equations. The displacements are assumed in the separable form. Since no closed form solutions are generally possible, a numerical solution procedure is adopted in which the displacement functions are approximated by cubic and quintic splines. A generalized eigenvalue problem is obtained which is solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. Parametric studies are made to investigate the effect of circumferential mode number, length ratio and cone angle using different number of layers with different ply orientations on the frequency parameter under two different boundary conditions.
format	Thesis
qualification_level	Master's degree
author	Md. Khalid, Nur Aisyah
author_facet	Md. Khalid, Nur Aisyah
author_sort	Md. Khalid, Nur Aisyah
title	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
title_short	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
title_full	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
title_fullStr	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
title_full_unstemmed	Free vibration of symmetric angle-ply laminated truncated conical shells using spline function
title_sort	free vibration of symmetric angle-ply laminated truncated conical shells using spline function
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/32106/5/NuraisyahMdKhalidMFS2013.pdf
_version_	1747815922835390464

Free vibration of symmetric angle-ply laminated truncated conical shells using spline function

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