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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient
Composites Part B: Engineering, Volume 42, No. 6, Year 2011
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Description
The novelty of this paper is the use of four variable refined plate theory for free vibration analysis of plates made of functionally graded materials with an arbitrary gradient. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory takes account of transverse shear effects and parabolic distribution of the transverse shear strains through the thickness of the plate, hence it is unnecessary to use shear correction factors. Material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents with an arbitrary gradient. The equation of motion for FG rectangular plates is obtained through Hamilton's principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. In the case of FG clamped plates, the free vibration frequencies are obtained by applying the Ritz method where the four displacement components are assumed as the series of simple algebraic polynomials. The validity of the present theory is investigated by comparing some of the present results with those of the first-order and the other higher-order theories reported in the literature. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behavior of FG plates. Illustrative examples are given also to show the effects of varying gradients, aspect ratios, and thickness to length ratios on the free vibration of the FG plates. © 2011 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Benachour, Abdelkader
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Daouadji, Tahar Hassaine
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Algeria, Tiaret
Université Ibn-khaldoun Tiaret
Ait Atmane, Hassen
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Algeria, Chlef
University Hassiba Benbouali - Chlef
Tounsi, Abdelouahed
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Ahmed, Meftah Sid
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Statistics
Citations: 203
Authors: 5
Affiliations: 3
Identifiers
Doi:
10.1016/j.compositesb.2011.05.032
ISSN:
13598368