Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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=S1679-78252015001001918 |
Resumo: | Abstract This paper is concerned with the nonlinear free vibration of a heated micro/nano beam modeled after the nonlocal continuum elasticity theory and Euler-Bernoulli beam theory. The governing partial differential equations are derived from the Hamilton variational principle and von Kármán geometric nonlinearity, in which the effects of the nonlocality and ambient temperature are inclusive. These equations are converted into ordinary forms by employing the Kantorovich method. The solutions of nonlinear free vibration are then sought through the use of shooting method in spatial domain. Numerical results show that the proposed treatment provides excellent accuracy and convergence characteristics. The influences of the aspect ratio, nonlocal parameter and temperature rise parameter on the dimensionless radian frequency are carefully investigated. It is concluded that the nonlocal and temperature rise parameters lead to reductions of the nonlinear vibration frequency, while the influence of the nonlocal effect decreases with an increase in the aspect ratio. |
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Latin American journal of solids and structures (Online) |
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Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theoryEuler-Bernoulli beamnonlocal elasticity theorynonlinear free vibrationKantorovich methodshooting methodAbstract This paper is concerned with the nonlinear free vibration of a heated micro/nano beam modeled after the nonlocal continuum elasticity theory and Euler-Bernoulli beam theory. The governing partial differential equations are derived from the Hamilton variational principle and von Kármán geometric nonlinearity, in which the effects of the nonlocality and ambient temperature are inclusive. These equations are converted into ordinary forms by employing the Kantorovich method. The solutions of nonlinear free vibration are then sought through the use of shooting method in spatial domain. Numerical results show that the proposed treatment provides excellent accuracy and convergence characteristics. The influences of the aspect ratio, nonlocal parameter and temperature rise parameter on the dimensionless radian frequency are carefully investigated. It is concluded that the nonlocal and temperature rise parameters lead to reductions of the nonlinear vibration frequency, while the influence of the nonlocal effect decreases with an increase in the aspect ratio.Associação Brasileira de Ciências Mecânicas2015-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001918Latin American Journal of Solids and Structures v.12 n.10 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251904info:eu-repo/semantics/openAccessWang,Yong-GangSong,Hui-FangLin,Wen-HuiWang,Jin-Keeng2015-11-19T00:00:00Zoai:scielo:S1679-78252015001001918Revistahttp://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:2015-11-19T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
title |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
spellingShingle |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory Wang,Yong-Gang Euler-Bernoulli beam nonlocal elasticity theory nonlinear free vibration Kantorovich method shooting method |
title_short |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
title_full |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
title_fullStr |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
title_full_unstemmed |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
title_sort |
Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory |
author |
Wang,Yong-Gang |
author_facet |
Wang,Yong-Gang Song,Hui-Fang Lin,Wen-Hui Wang,Jin-Ke |
author_role |
author |
author2 |
Song,Hui-Fang Lin,Wen-Hui Wang,Jin-Ke |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Wang,Yong-Gang Song,Hui-Fang Lin,Wen-Hui Wang,Jin-Ke |
dc.subject.por.fl_str_mv |
Euler-Bernoulli beam nonlocal elasticity theory nonlinear free vibration Kantorovich method shooting method |
topic |
Euler-Bernoulli beam nonlocal elasticity theory nonlinear free vibration Kantorovich method shooting method |
description |
Abstract This paper is concerned with the nonlinear free vibration of a heated micro/nano beam modeled after the nonlocal continuum elasticity theory and Euler-Bernoulli beam theory. The governing partial differential equations are derived from the Hamilton variational principle and von Kármán geometric nonlinearity, in which the effects of the nonlocality and ambient temperature are inclusive. These equations are converted into ordinary forms by employing the Kantorovich method. The solutions of nonlinear free vibration are then sought through the use of shooting method in spatial domain. Numerical results show that the proposed treatment provides excellent accuracy and convergence characteristics. The influences of the aspect ratio, nonlocal parameter and temperature rise parameter on the dimensionless radian frequency are carefully investigated. It is concluded that the nonlocal and temperature rise parameters lead to reductions of the nonlinear vibration frequency, while the influence of the nonlocal effect decreases with an increase in the aspect ratio. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-10-01 |
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=S1679-78252015001001918 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001918 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78251904 |
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.12 n.10 2015 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_ |
1754302888077688832 |