Free vibration analysis of two-dimensional functionally graded cylindrical shells

In this paper, the free vibration of a two-dimensional functionally graded circular cylindrical shell is analyzed. The equations of motion are based on the Love’s first approximation classical shell theory. The spatial derivatives of the equations of motion and boundary conditions are discretized by...

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Bibliographic Details
Published in:	Applied mathematical modelling Vol. 38; no. 1; pp. 308 - 324
Main Authors:	Ebrahimi, M.J., Najafizadeh, M.M.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-01-2014
Subjects:	2-D functionally graded material Cylindrical shell Cylindrical shells Differential equations Equations of motion Free vibration Functionally gradient materials Generalized differential integral quadrature Mathematical models Quadratures Two dimensional Cylindrical shell Free vibration 2-D functionally graded material Generalized differential integral quadrature
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Summary:	In this paper, the free vibration of a two-dimensional functionally graded circular cylindrical shell is analyzed. The equations of motion are based on the Love’s first approximation classical shell theory. The spatial derivatives of the equations of motion and boundary conditions are discretized by the methods of generalized differential quadrature (GDQ) and generalized integral quadrature (GIQ). Two kinds of micromechanics models, viz. Voigt and Mori–Tanaka models are used to describe the material properties. To validate the results, comparisons are made with the solutions for FG cylindrical shells available in the literature. The results of this study show that the natural frequency of the material can be modified in order to meet the expected results through manipulation of the constituent volume fractions. A comprehensive comparison is then drawn between ordinary and 2-D FG cylindrical shells.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2
ISSN:	0307-904X
DOI:	10.1016/j.apm.2013.06.015