Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000800001 |
Resumo: | In the present paper, an exponential shear deformation theory is used to determine the natural frequencies and critical buckling loads of orthotropic plates. The theory accounts for a parabolic distribution of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The in-plane displacement field uses an exponential function in terms of thickness coordinate to include the effect of shear deformation and rotary inertia. Governing equations and boundary conditions are derived from the dynamic version of principle of virtual work. The Navier type solution is employed for solving the governing equations of simply supported square orthotropic plates. The results obtained using present higher order shear deformation theory are found to be agree well with those obtained by other several existing higher order theories for analyzing the buckling and free vibration behaviour of orthotropic plates. |
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Latin American journal of solids and structures (Online) |
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Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theoryorthotropic platesshear correction factorshear deformationnatural frequenciesuniaxialbiaxialcritical buckling loadIn the present paper, an exponential shear deformation theory is used to determine the natural frequencies and critical buckling loads of orthotropic plates. The theory accounts for a parabolic distribution of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The in-plane displacement field uses an exponential function in terms of thickness coordinate to include the effect of shear deformation and rotary inertia. Governing equations and boundary conditions are derived from the dynamic version of principle of virtual work. The Navier type solution is employed for solving the governing equations of simply supported square orthotropic plates. The results obtained using present higher order shear deformation theory are found to be agree well with those obtained by other several existing higher order theories for analyzing the buckling and free vibration behaviour of orthotropic plates.Associação Brasileira de Ciências Mecânicas2014-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000800001Latin American Journal of Solids and Structures v.11 n.8 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000800001info:eu-repo/semantics/openAccessSayyad,A. S.Ghugal,Y. M.eng2015-11-17T00:00:00Zoai:scielo:S1679-78252014000800001Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2015-11-17T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
title |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
spellingShingle |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory Sayyad,A. S. orthotropic plates shear correction factor shear deformation natural frequencies uniaxial biaxial critical buckling load |
title_short |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
title_full |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
title_fullStr |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
title_full_unstemmed |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
title_sort |
Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory |
author |
Sayyad,A. S. |
author_facet |
Sayyad,A. S. Ghugal,Y. M. |
author_role |
author |
author2 |
Ghugal,Y. M. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Sayyad,A. S. Ghugal,Y. M. |
dc.subject.por.fl_str_mv |
orthotropic plates shear correction factor shear deformation natural frequencies uniaxial biaxial critical buckling load |
topic |
orthotropic plates shear correction factor shear deformation natural frequencies uniaxial biaxial critical buckling load |
description |
In the present paper, an exponential shear deformation theory is used to determine the natural frequencies and critical buckling loads of orthotropic plates. The theory accounts for a parabolic distribution of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The in-plane displacement field uses an exponential function in terms of thickness coordinate to include the effect of shear deformation and rotary inertia. Governing equations and boundary conditions are derived from the dynamic version of principle of virtual work. The Navier type solution is employed for solving the governing equations of simply supported square orthotropic plates. The results obtained using present higher order shear deformation theory are found to be agree well with those obtained by other several existing higher order theories for analyzing the buckling and free vibration behaviour of orthotropic plates. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000800001 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000800001 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252014000800001 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.11 n.8 2014 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302887630995456 |