Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium
Autor(a) principal: | |
---|---|
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=S1679-78252014000300005 |
Resumo: | In this paper, the effect of the temperature change on the vibration frequency of mono-layer graphene sheet embedded in an elastic medium are studied. Using the nonlocal elasticity theory, the governing equations are derived for single-layered graphene sheets. Using Levy and Navier solutions, analytical frequency equations for single-layered graphene sheets are obtained. Using Levy solution, the frequency equation and mode shapes of orthotropic rectangular nanoplate are considered for three cases of boundary conditions. The obtained results are subsequently compared with valid result reported in the literature. The effects of the small scale, temperature change, different boundary conditions, Winkler and Pasternak foundations, material properties and aspect ratios on natural frequencies are investigated. It has been shown that the non-dimensional frequency decreases with increasing temperature change. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration properties of the nanoplates. |
id |
ABCM-1_e121be7a3d4f52437e884a50419776e7 |
---|---|
oai_identifier_str |
oai:scielo:S1679-78252014000300005 |
network_acronym_str |
ABCM-1 |
network_name_str |
Latin American journal of solids and structures (Online) |
repository_id_str |
|
spelling |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic mediumThermo-mechanical vibrationOrthotropic single-layered graphene sheetsElastic mediumAnalytical modelingIn this paper, the effect of the temperature change on the vibration frequency of mono-layer graphene sheet embedded in an elastic medium are studied. Using the nonlocal elasticity theory, the governing equations are derived for single-layered graphene sheets. Using Levy and Navier solutions, analytical frequency equations for single-layered graphene sheets are obtained. Using Levy solution, the frequency equation and mode shapes of orthotropic rectangular nanoplate are considered for three cases of boundary conditions. The obtained results are subsequently compared with valid result reported in the literature. The effects of the small scale, temperature change, different boundary conditions, Winkler and Pasternak foundations, material properties and aspect ratios on natural frequencies are investigated. It has been shown that the non-dimensional frequency decreases with increasing temperature change. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration properties of the nanoplates.Associação Brasileira de Ciências Mecânicas2014-05-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000300005Latin American Journal of Solids and Structures v.11 n.3 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000300005info:eu-repo/semantics/openAccessMohammadi,M.Moradi,A.Ghayour,M.Farajpour,A.eng2013-12-13T00:00:00Zoai:scielo:S1679-78252014000300005Revistahttp://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:2013-12-13T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
title |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
spellingShingle |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium Mohammadi,M. Thermo-mechanical vibration Orthotropic single-layered graphene sheets Elastic medium Analytical modeling |
title_short |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
title_full |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
title_fullStr |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
title_full_unstemmed |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
title_sort |
Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium |
author |
Mohammadi,M. |
author_facet |
Mohammadi,M. Moradi,A. Ghayour,M. Farajpour,A. |
author_role |
author |
author2 |
Moradi,A. Ghayour,M. Farajpour,A. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Mohammadi,M. Moradi,A. Ghayour,M. Farajpour,A. |
dc.subject.por.fl_str_mv |
Thermo-mechanical vibration Orthotropic single-layered graphene sheets Elastic medium Analytical modeling |
topic |
Thermo-mechanical vibration Orthotropic single-layered graphene sheets Elastic medium Analytical modeling |
description |
In this paper, the effect of the temperature change on the vibration frequency of mono-layer graphene sheet embedded in an elastic medium are studied. Using the nonlocal elasticity theory, the governing equations are derived for single-layered graphene sheets. Using Levy and Navier solutions, analytical frequency equations for single-layered graphene sheets are obtained. Using Levy solution, the frequency equation and mode shapes of orthotropic rectangular nanoplate are considered for three cases of boundary conditions. The obtained results are subsequently compared with valid result reported in the literature. The effects of the small scale, temperature change, different boundary conditions, Winkler and Pasternak foundations, material properties and aspect ratios on natural frequencies are investigated. It has been shown that the non-dimensional frequency decreases with increasing temperature change. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration properties of the nanoplates. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-05-01 |
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=S1679-78252014000300005 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000300005 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252014000300005 |
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.3 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_ |
1754302887306985472 |