Free vibration of laminated composite shell structures filled with fluid

Free vibration of layered truncated conical and circular cylindrical shells filled with fluid based on Love’s first approximation theory are analysed in this research. In addition, investigation regarding the free vibration of laminated composite circular cylindrical shells filled with fluid using t...

Full description

Saved in:

Bibliographic Details
Main Author:	Mat Daud, Nurul Izyan
Format:	Thesis
Language:	English
Published:	2018
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/81456/1/NurulIzyanMatPFS2018.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-utm-ep.81456
record_format	uketd_dc
spelling	my-utm-ep.814562019-08-23T05:18:50Z Free vibration of laminated composite shell structures filled with fluid 2018 Mat Daud, Nurul Izyan QA Mathematics Free vibration of layered truncated conical and circular cylindrical shells filled with fluid based on Love’s first approximation theory are analysed in this research. In addition, investigation regarding the free vibration of laminated composite circular cylindrical shells filled with fluid using the first order shear deformation theory also presented. In this study, the shell is filled with quiescent fluid and analysed using the spline method. The shell equations are assumed to be in a separable form, which hence a set of coupled ordinary differential equations in the term of displacement functions is obtained for the case of the Love’s first approximation theory. For the case under first order of shear deformation theory, the rotational functions are included. These functions are approximated using the spline function, bringing into a set of field equations together with boundary conditions, that reduce to a system of homogeneous simultaneous algebraic equations on the assumed spline coefficients. The resulting generalised eigenvalue problem is solved to get as many eigen frequencies as required by starting from the least. From the eigenvectors on the spline coefficients, the mode shapes can be constructed. In the first case, the effects of the relative layer thickness, cone angle, length ratio, and boundary conditions on the frequencies of truncated conical shell filled with fluid are presented. Through the application of the same theory, the effect of the relative layer thickness, length-to-radius ratio, thickness-to-radius ratio, circumferential node number, and boundary conditions on the frequencies of circular cylindrical shell filled with fluid are investigated. In the case of first order shear deformation theory; a cross-ply, anti-symmetric angle-ply, and symmetric angle-ply laminated composite circular cylindrical shell filled with fluid are analysed. Parametric studies have been conducted with respect to the length-to-radius ratio, thickness-to-radius ratio, material properties, ply orientations, number of layers, and boundary conditions on the frequencies. The contribution of this research is to provide solutions for free vibration of laminated composite conical and cylindrical shells filled with fluid using spline method. The frequency of the shell filled with fluid is found to be lower than the frequency of the shell without fluid due to the effect of fluid in the shell that acts as the added mass to it. Material properties, ply orientations, number of layers, boundary conditions, relative layer thickness, length-to-radius ratio, thickness-to-radius ratio, circumferential node number, cone angle, and length ratio significantly affect the frequencies of the shell. Furthermore, simply supported boundary conditions are found to have the lowest frequency followed by clamped-free and clamped-clamped boundary conditions. 2018 Thesis http://eprints.utm.my/id/eprint/81456/ http://eprints.utm.my/id/eprint/81456/1/NurulIzyanMatPFS2018.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:125006 phd doctoral Universiti Teknologi Malaysia Mathematics
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mat Daud, Nurul Izyan Free vibration of laminated composite shell structures filled with fluid
description	Free vibration of layered truncated conical and circular cylindrical shells filled with fluid based on Love’s first approximation theory are analysed in this research. In addition, investigation regarding the free vibration of laminated composite circular cylindrical shells filled with fluid using the first order shear deformation theory also presented. In this study, the shell is filled with quiescent fluid and analysed using the spline method. The shell equations are assumed to be in a separable form, which hence a set of coupled ordinary differential equations in the term of displacement functions is obtained for the case of the Love’s first approximation theory. For the case under first order of shear deformation theory, the rotational functions are included. These functions are approximated using the spline function, bringing into a set of field equations together with boundary conditions, that reduce to a system of homogeneous simultaneous algebraic equations on the assumed spline coefficients. The resulting generalised eigenvalue problem is solved to get as many eigen frequencies as required by starting from the least. From the eigenvectors on the spline coefficients, the mode shapes can be constructed. In the first case, the effects of the relative layer thickness, cone angle, length ratio, and boundary conditions on the frequencies of truncated conical shell filled with fluid are presented. Through the application of the same theory, the effect of the relative layer thickness, length-to-radius ratio, thickness-to-radius ratio, circumferential node number, and boundary conditions on the frequencies of circular cylindrical shell filled with fluid are investigated. In the case of first order shear deformation theory; a cross-ply, anti-symmetric angle-ply, and symmetric angle-ply laminated composite circular cylindrical shell filled with fluid are analysed. Parametric studies have been conducted with respect to the length-to-radius ratio, thickness-to-radius ratio, material properties, ply orientations, number of layers, and boundary conditions on the frequencies. The contribution of this research is to provide solutions for free vibration of laminated composite conical and cylindrical shells filled with fluid using spline method. The frequency of the shell filled with fluid is found to be lower than the frequency of the shell without fluid due to the effect of fluid in the shell that acts as the added mass to it. Material properties, ply orientations, number of layers, boundary conditions, relative layer thickness, length-to-radius ratio, thickness-to-radius ratio, circumferential node number, cone angle, and length ratio significantly affect the frequencies of the shell. Furthermore, simply supported boundary conditions are found to have the lowest frequency followed by clamped-free and clamped-clamped boundary conditions.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Mat Daud, Nurul Izyan
author_facet	Mat Daud, Nurul Izyan
author_sort	Mat Daud, Nurul Izyan
title	Free vibration of laminated composite shell structures filled with fluid
title_short	Free vibration of laminated composite shell structures filled with fluid
title_full	Free vibration of laminated composite shell structures filled with fluid
title_fullStr	Free vibration of laminated composite shell structures filled with fluid
title_full_unstemmed	Free vibration of laminated composite shell structures filled with fluid
title_sort	free vibration of laminated composite shell structures filled with fluid
granting_institution	Universiti Teknologi Malaysia
granting_department	Mathematics
publishDate	2018
url	http://eprints.utm.my/id/eprint/81456/1/NurulIzyanMatPFS2018.pdf
_version_	1747818336266223616

Free vibration of laminated composite shell structures filled with fluid

Similar Items