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Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory

A general approach for free vibration of functionally graded materials (FGMs) plates based on second-order shear deformation theory (SSDT) is presented. Material properties are assumed to be graded in the thickness direction by power law distribution in term of the volume fractions of the constituen...

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Main Authors: Shahrjerdi, Ali, Bayat, Mehdi, Mustapha, Faizal, Salit, Mohd Sapuan, Zahari, Rizal
Format: Article
Language:English
Published: American-Eurasian Network for Scientific Information 2010
Online Access:http://psasir.upm.edu.my/id/eprint/9477/1/Free%20vibration%20analysis%20of%20functionally%20graded%20quadrangle%20plates%20using%20second%20order%20shear%20deformation%20theory.pdf
http://psasir.upm.edu.my/id/eprint/9477/
http://ajbasweb.com/old/ajbas_may_2010.html
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spelling my.upm.eprints.94772018-09-21T02:54:16Z http://psasir.upm.edu.my/id/eprint/9477/ Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory Shahrjerdi, Ali Bayat, Mehdi Mustapha, Faizal Salit, Mohd Sapuan Zahari, Rizal A general approach for free vibration of functionally graded materials (FGMs) plates based on second-order shear deformation theory (SSDT) is presented. Material properties are assumed to be graded in the thickness direction by power law distribution in term of the volume fractions of the constituents. The equilibrium equations are derived by energy method and then solved analytically by applying Navier's method for a plate with simply supported boundary conditions. It is found that the fundamental frequencies versus side-to-side ratio for FG quadrangular plates are between full-ceramic plate and full-metal plate. It is shown that for the grading index smaller than two (p<2) the decreasing slope of the frequency is greater than that in other parts for all values of side-to-thickness ratio in square FG plate. Natural frequencies for different mode shape are compared and verified with the known results in the literature. It is seen that the results of the second-order theory are very close to the third-order reported in the literature. American-Eurasian Network for Scientific Information 2010 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/9477/1/Free%20vibration%20analysis%20of%20functionally%20graded%20quadrangle%20plates%20using%20second%20order%20shear%20deformation%20theory.pdf Shahrjerdi, Ali and Bayat, Mehdi and Mustapha, Faizal and Salit, Mohd Sapuan and Zahari, Rizal (2010) Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory. Australian Journal of Basic and Applied Sciences, 4 (5). pp. 893-905. ISSN 1991-8178 http://ajbasweb.com/old/ajbas_may_2010.html
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A general approach for free vibration of functionally graded materials (FGMs) plates based on second-order shear deformation theory (SSDT) is presented. Material properties are assumed to be graded in the thickness direction by power law distribution in term of the volume fractions of the constituents. The equilibrium equations are derived by energy method and then solved analytically by applying Navier's method for a plate with simply supported boundary conditions. It is found that the fundamental frequencies versus side-to-side ratio for FG quadrangular plates are between full-ceramic plate and full-metal plate. It is shown that for the grading index smaller than two (p<2) the decreasing slope of the frequency is greater than that in other parts for all values of side-to-thickness ratio in square FG plate. Natural frequencies for different mode shape are compared and verified with the known results in the literature. It is seen that the results of the second-order theory are very close to the third-order reported in the literature.
format Article
author Shahrjerdi, Ali
Bayat, Mehdi
Mustapha, Faizal
Salit, Mohd Sapuan
Zahari, Rizal
spellingShingle Shahrjerdi, Ali
Bayat, Mehdi
Mustapha, Faizal
Salit, Mohd Sapuan
Zahari, Rizal
Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
author_facet Shahrjerdi, Ali
Bayat, Mehdi
Mustapha, Faizal
Salit, Mohd Sapuan
Zahari, Rizal
author_sort Shahrjerdi, Ali
title Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
title_short Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
title_full Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
title_fullStr Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
title_full_unstemmed Free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
title_sort free vibration analysis of functionally graded quadrangle plates using second order shear deformation theory
publisher American-Eurasian Network for Scientific Information
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/9477/1/Free%20vibration%20analysis%20of%20functionally%20graded%20quadrangle%20plates%20using%20second%20order%20shear%20deformation%20theory.pdf
http://psasir.upm.edu.my/id/eprint/9477/
http://ajbasweb.com/old/ajbas_may_2010.html
_version_ 1643824325112889344
score 13.222552

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