Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress 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=S1679-78252014000500005 |
Resumo: | This paper investigates the dynamic pull-in instability of vibrating micro-beams undergoing large deflection under electrosatically actuation. The governing equation of motion is derived based on the modified couple stress theory. Homotopy Perturbation Method is employed to produce the high accuracy approximate solution as well as the second-order frequency- amplitude relationship. The nonlinear governing equation of micro beam vibrations predeformed by an electric field includes both even and odd nonlinearities. The influences of basic non-dimensional parameters on the pull-in instability as well as the natural frequency are studied. It is demonstrated that two terms in series expansions are sufficient to produce high accuracy solution of the micro-structure. The accuracy of proposed asymptotic approach is validated via numerical results. The phase portrait of the system exhibits periodic and homoclinic orbits. |
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Latin American journal of solids and structures (Online) |
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|
spelling |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theoryDynamic pull-in instabilityModified couple stress theoryHomotopy Perturbation MethodFrequency - amplitude relationshipHomoclinic orbitThis paper investigates the dynamic pull-in instability of vibrating micro-beams undergoing large deflection under electrosatically actuation. The governing equation of motion is derived based on the modified couple stress theory. Homotopy Perturbation Method is employed to produce the high accuracy approximate solution as well as the second-order frequency- amplitude relationship. The nonlinear governing equation of micro beam vibrations predeformed by an electric field includes both even and odd nonlinearities. The influences of basic non-dimensional parameters on the pull-in instability as well as the natural frequency are studied. It is demonstrated that two terms in series expansions are sufficient to produce high accuracy solution of the micro-structure. The accuracy of proposed asymptotic approach is validated via numerical results. The phase portrait of the system exhibits periodic and homoclinic orbits.Associação Brasileira de Ciências Mecânicas2014-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500005Latin American Journal of Solids and Structures v.11 n.5 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000500005info:eu-repo/semantics/openAccessSedighi,Hamid M.Chan-Gizian,MaziarNoghreha-Badi,Aminrezaeng2014-02-03T00:00:00Zoai:scielo:S1679-78252014000500005Revistahttp://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:2014-02-03T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
title |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
spellingShingle |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory Sedighi,Hamid M. Dynamic pull-in instability Modified couple stress theory Homotopy Perturbation Method Frequency - amplitude relationship Homoclinic orbit |
title_short |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
title_full |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
title_fullStr |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
title_full_unstemmed |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
title_sort |
Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory |
author |
Sedighi,Hamid M. |
author_facet |
Sedighi,Hamid M. Chan-Gizian,Maziar Noghreha-Badi,Aminreza |
author_role |
author |
author2 |
Chan-Gizian,Maziar Noghreha-Badi,Aminreza |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Sedighi,Hamid M. Chan-Gizian,Maziar Noghreha-Badi,Aminreza |
dc.subject.por.fl_str_mv |
Dynamic pull-in instability Modified couple stress theory Homotopy Perturbation Method Frequency - amplitude relationship Homoclinic orbit |
topic |
Dynamic pull-in instability Modified couple stress theory Homotopy Perturbation Method Frequency - amplitude relationship Homoclinic orbit |
description |
This paper investigates the dynamic pull-in instability of vibrating micro-beams undergoing large deflection under electrosatically actuation. The governing equation of motion is derived based on the modified couple stress theory. Homotopy Perturbation Method is employed to produce the high accuracy approximate solution as well as the second-order frequency- amplitude relationship. The nonlinear governing equation of micro beam vibrations predeformed by an electric field includes both even and odd nonlinearities. The influences of basic non-dimensional parameters on the pull-in instability as well as the natural frequency are studied. It is demonstrated that two terms in series expansions are sufficient to produce high accuracy solution of the micro-structure. The accuracy of proposed asymptotic approach is validated via numerical results. The phase portrait of the system exhibits periodic and homoclinic orbits. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-10-01 |
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=S1679-78252014000500005 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500005 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252014000500005 |
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.5 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_ |
1754302887366754304 |