Free vibration of laminated composite plate and shell structures for constant and variable thickness

This study is conducted to analyse the free vibration of rectangular plates, circular plates and conical shells of anti-symmetric angle-ply laminated composite using classical theory, first order shear deformation theory and third order shear deformation theory of constant and variable thickness. Th...

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Main Author:	Ahmad Kailani, Nor Hafizah
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/101798/1/NorHafizahZainalPFS2019.pdf.pdf
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id	my-utm-ep.101798
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spelling	my-utm-ep.1017982023-07-09T02:27:00Z Free vibration of laminated composite plate and shell structures for constant and variable thickness 2019 Ahmad Kailani, Nor Hafizah QA Mathematics This study is conducted to analyse the free vibration of rectangular plates, circular plates and conical shells of anti-symmetric angle-ply laminated composite using classical theory, first order shear deformation theory and third order shear deformation theory of constant and variable thickness. The variations of thickness used are in the form of linear, exponential and sinusoidal. Free vibration of conical shells with constant thickness is investigated under classical theory. An extended study has been done by using developed shell theories where shear deformation is included. Free vibration of circular plates of variable thickness is analysed under first order shear deformation theory. Using the same theory, the free vibration analysis of conical shells for variable thickness is conducted. Third order shear deformation theory is adopted to the study of free vibration of rectangular plates for variable thickness. In this study, stress resultants and strain-displacement relations are substituted into the governing equation of structures. The solution is assumed to be separable in the form of displacement and rotational functions to obtain ordinary differential. The displacement and rotational functions are approximated using spline method. The obtained equations together with equations of boundary conditions are reduced to eigenvalue problem. The solutions of the eigenvalue problems are the frequencies of the plates and shells. The effects of boundary conditions, aspect ratio, side-to-thickness ratio, ply angle, number of layers, circumferential node number, variable thickness, cone angle, length ratio and radii ratio on the vibration of structures are investigated. The results show that the frequencies are higher for clamped-clamped boundary conditions than simply-supported and clamped-free boundary conditions. Also, it is found that the geometric parameters affect the vibration of structures. 2019 Thesis http://eprints.utm.my/id/eprint/101798/ http://eprints.utm.my/id/eprint/101798/1/NorHafizahZainalPFS2019.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145987 phd doctoral Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ahmad Kailani, Nor Hafizah Free vibration of laminated composite plate and shell structures for constant and variable thickness
description	This study is conducted to analyse the free vibration of rectangular plates, circular plates and conical shells of anti-symmetric angle-ply laminated composite using classical theory, first order shear deformation theory and third order shear deformation theory of constant and variable thickness. The variations of thickness used are in the form of linear, exponential and sinusoidal. Free vibration of conical shells with constant thickness is investigated under classical theory. An extended study has been done by using developed shell theories where shear deformation is included. Free vibration of circular plates of variable thickness is analysed under first order shear deformation theory. Using the same theory, the free vibration analysis of conical shells for variable thickness is conducted. Third order shear deformation theory is adopted to the study of free vibration of rectangular plates for variable thickness. In this study, stress resultants and strain-displacement relations are substituted into the governing equation of structures. The solution is assumed to be separable in the form of displacement and rotational functions to obtain ordinary differential. The displacement and rotational functions are approximated using spline method. The obtained equations together with equations of boundary conditions are reduced to eigenvalue problem. The solutions of the eigenvalue problems are the frequencies of the plates and shells. The effects of boundary conditions, aspect ratio, side-to-thickness ratio, ply angle, number of layers, circumferential node number, variable thickness, cone angle, length ratio and radii ratio on the vibration of structures are investigated. The results show that the frequencies are higher for clamped-clamped boundary conditions than simply-supported and clamped-free boundary conditions. Also, it is found that the geometric parameters affect the vibration of structures.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Ahmad Kailani, Nor Hafizah
author_facet	Ahmad Kailani, Nor Hafizah
author_sort	Ahmad Kailani, Nor Hafizah
title	Free vibration of laminated composite plate and shell structures for constant and variable thickness
title_short	Free vibration of laminated composite plate and shell structures for constant and variable thickness
title_full	Free vibration of laminated composite plate and shell structures for constant and variable thickness
title_fullStr	Free vibration of laminated composite plate and shell structures for constant and variable thickness
title_full_unstemmed	Free vibration of laminated composite plate and shell structures for constant and variable thickness
title_sort	free vibration of laminated composite plate and shell structures for constant and variable thickness
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2019
url	http://eprints.utm.my/id/eprint/101798/1/NorHafizahZainalPFS2019.pdf.pdf
_version_	1776100774119473152

Free vibration of laminated composite plate and shell structures for constant and variable thickness

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