Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe
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=S1679-78252014000300002 |
Resumo: | Nonlinear vibration response of nanomechanical cantilever (NMC) active probes in atomic force microscope (AFM) application has been studied in the amplitude mode. Piezoelectric layer is placed piecewise and as an actuator on NMC. Continuous beam model has been chosen for analysis with regard to the geometric discontinuities of piezoelectric layer attachment and NMC's cross section. The force between the tip and the sample surface is modeled using Leonard-Jones potential. Assuming that cantilever is inclined to the sample surface, the effect of nonlinear force on NMC is considered as a shearing force and the concentrated bending moment is regarded at the end. Nonlinear frequency response of NMC is obtained close to the sample surface using the dynamic modeling. It is then become clear that the distance and angle of NMC, the probe length, and the geometric dimensions of piezoelectric layer can affect frequency response bending of the curve. |
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Latin American journal of solids and structures (Online) |
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Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probeNonlinear vibrationNanomechanical cantileverMultiple time scaleNonlinear frequency responseNonlinear vibration response of nanomechanical cantilever (NMC) active probes in atomic force microscope (AFM) application has been studied in the amplitude mode. Piezoelectric layer is placed piecewise and as an actuator on NMC. Continuous beam model has been chosen for analysis with regard to the geometric discontinuities of piezoelectric layer attachment and NMC's cross section. The force between the tip and the sample surface is modeled using Leonard-Jones potential. Assuming that cantilever is inclined to the sample surface, the effect of nonlinear force on NMC is considered as a shearing force and the concentrated bending moment is regarded at the end. Nonlinear frequency response of NMC is obtained close to the sample surface using the dynamic modeling. It is then become clear that the distance and angle of NMC, the probe length, and the geometric dimensions of piezoelectric layer can affect frequency response bending of the curve.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=S1679-78252014000300002Latin 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/S1679-78252014000300002info:eu-repo/semantics/openAccessGhaderi,RezaNejat,Azineng2013-12-13T00:00:00Zoai:scielo:S1679-78252014000300002Revistahttp://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 |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
title |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
spellingShingle |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe Ghaderi,Reza Nonlinear vibration Nanomechanical cantilever Multiple time scale Nonlinear frequency response |
title_short |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
title_full |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
title_fullStr |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
title_full_unstemmed |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
title_sort |
Nonlinear mathematical modeling of vibrating motion of nanomechanical cantilever active probe |
author |
Ghaderi,Reza |
author_facet |
Ghaderi,Reza Nejat,Azin |
author_role |
author |
author2 |
Nejat,Azin |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Ghaderi,Reza Nejat,Azin |
dc.subject.por.fl_str_mv |
Nonlinear vibration Nanomechanical cantilever Multiple time scale Nonlinear frequency response |
topic |
Nonlinear vibration Nanomechanical cantilever Multiple time scale Nonlinear frequency response |
description |
Nonlinear vibration response of nanomechanical cantilever (NMC) active probes in atomic force microscope (AFM) application has been studied in the amplitude mode. Piezoelectric layer is placed piecewise and as an actuator on NMC. Continuous beam model has been chosen for analysis with regard to the geometric discontinuities of piezoelectric layer attachment and NMC's cross section. The force between the tip and the sample surface is modeled using Leonard-Jones potential. Assuming that cantilever is inclined to the sample surface, the effect of nonlinear force on NMC is considered as a shearing force and the concentrated bending moment is regarded at the end. Nonlinear frequency response of NMC is obtained close to the sample surface using the dynamic modeling. It is then become clear that the distance and angle of NMC, the probe length, and the geometric dimensions of piezoelectric layer can affect frequency response bending of the curve. |
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=S1679-78252014000300002 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000300002 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252014000300002 |
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_ |
1754302887301742592 |