Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory

Detalhes bibliográficos
Autor(a) principal: Shooshtari,Alireza
Data de Publicação: 2016
Outros Autores: Razavi,Soheil
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=S1679-78252016000300554
Resumo: Abstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.
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spelling Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation TheoryFree vibrationmagnetoelectroelastic smart plateelastic foundationReddy's third order shear deformation theoryAbstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.Associação Brasileira de Ciências Mecânicas2016-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300554Latin American Journal of Solids and Structures v.13 n.3 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251831info:eu-repo/semantics/openAccessShooshtari,AlirezaRazavi,Soheileng2016-04-06T00:00:00Zoai:scielo:S1679-78252016000300554Revistahttp://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:2016-04-06T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
title Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
spellingShingle Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
Shooshtari,Alireza
Free vibration
magnetoelectroelastic smart plate
elastic foundation
Reddy's third order shear deformation theory
title_short Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
title_full Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
title_fullStr Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
title_full_unstemmed Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
title_sort Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
author Shooshtari,Alireza
author_facet Shooshtari,Alireza
Razavi,Soheil
author_role author
author2 Razavi,Soheil
author2_role author
dc.contributor.author.fl_str_mv Shooshtari,Alireza
Razavi,Soheil
dc.subject.por.fl_str_mv Free vibration
magnetoelectroelastic smart plate
elastic foundation
Reddy's third order shear deformation theory
topic Free vibration
magnetoelectroelastic smart plate
elastic foundation
Reddy's third order shear deformation theory
description Abstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.
publishDate 2016
dc.date.none.fl_str_mv 2016-03-01
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=S1679-78252016000300554
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300554
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78251831
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.13 n.3 2016
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
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