Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory

Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory

Abstract In this paper a new eight-unknown higher order shear deformation theory is proposed to study the buckling and free vibration of functionally graded (FG) material plates. The theory bases on full twelve-unknown higher order shear deformation theory, simultaneously satisfies zero transverse shear stress at the top and bottom surfaces of FG plates. Equations of motion are derived from Hamilton's principle. The critical buckling load and the vibration natural frequency are analyzed. The accuracy of present analytical solution is confirmed by comparing the present results with those available in existing literature. The effect of power law index of functionally graded material, side-to-thickness ratio on buckling and free vibration responses of FG plates is investigated.

Saved in:
Bibliographic Details
Main Authors: Thinh,Tran Ich, Tu,Tran Minh, Quoc,Tran Huu, Long,Nguyen Van
Format: Digital revista
Language:English
Published: Associação Brasileira de Ciências Mecânicas 2016
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300456
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:scielo:S1679-78252016000300456
record_format ojs
spelling oai:scielo:S1679-782520160003004562016-04-06Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation TheoryThinh,Tran IchTu,Tran MinhQuoc,Tran HuuLong,Nguyen Van Buckling vibration analysis functionally graded materials higher order shear deformation theory closed-form solution Abstract In this paper a new eight-unknown higher order shear deformation theory is proposed to study the buckling and free vibration of functionally graded (FG) material plates. The theory bases on full twelve-unknown higher order shear deformation theory, simultaneously satisfies zero transverse shear stress at the top and bottom surfaces of FG plates. Equations of motion are derived from Hamilton's principle. The critical buckling load and the vibration natural frequency are analyzed. The accuracy of present analytical solution is confirmed by comparing the present results with those available in existing literature. The effect of power law index of functionally graded material, side-to-thickness ratio on buckling and free vibration responses of FG plates is investigated.info:eu-repo/semantics/openAccessAssociação Brasileira de Ciências MecânicasLatin American Journal of Solids and Structures v.13 n.3 20162016-03-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300456en10.1590/1679-78252522
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Thinh,Tran Ich
Tu,Tran Minh
Quoc,Tran Huu
Long,Nguyen Van
spellingShingle Thinh,Tran Ich
Tu,Tran Minh
Quoc,Tran Huu
Long,Nguyen Van
Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
author_facet Thinh,Tran Ich
Tu,Tran Minh
Quoc,Tran Huu
Long,Nguyen Van
author_sort Thinh,Tran Ich
title Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
title_short Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
title_full Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
title_fullStr Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
title_full_unstemmed Vibration and Buckling Analysis of Functionally Graded Plates Using New Eight-Unknown Higher Order Shear Deformation Theory
title_sort vibration and buckling analysis of functionally graded plates using new eight-unknown higher order shear deformation theory
description Abstract In this paper a new eight-unknown higher order shear deformation theory is proposed to study the buckling and free vibration of functionally graded (FG) material plates. The theory bases on full twelve-unknown higher order shear deformation theory, simultaneously satisfies zero transverse shear stress at the top and bottom surfaces of FG plates. Equations of motion are derived from Hamilton's principle. The critical buckling load and the vibration natural frequency are analyzed. The accuracy of present analytical solution is confirmed by comparing the present results with those available in existing literature. The effect of power law index of functionally graded material, side-to-thickness ratio on buckling and free vibration responses of FG plates is investigated.
publisher Associação Brasileira de Ciências Mecânicas
publishDate 2016
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300456
work_keys_str_mv AT thinhtranich vibrationandbucklinganalysisoffunctionallygradedplatesusingneweightunknownhigherordersheardeformationtheory
AT tutranminh vibrationandbucklinganalysisoffunctionallygradedplatesusingneweightunknownhigherordersheardeformationtheory
AT quoctranhuu vibrationandbucklinganalysisoffunctionallygradedplatesusingneweightunknownhigherordersheardeformationtheory
AT longnguyenvan vibrationandbucklinganalysisoffunctionallygradedplatesusingneweightunknownhigherordersheardeformationtheory
_version_ 1756430287802204160

Similar Items