Nanobeams and AFM subject to piezoelectric and surface scale effects
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/225881 |
Resumo: | Vibration dynamics of elastic beams that are used in nanotechnology, such as atomic force microscope modeling and carbon nanotubes, are considered in terms of a fundamental response within a matrix framework. Te modeling equations with piezoelectric and surface scale efects are written as a matrix diferential equation subject to tip-sample general boundary conditions and to compatibility conditions for the case of multispan beams. We considered a quadratic and a cubic eigenvalue problem related to the inclusion of smart materials and surface efects. Simulations were performed for a two stepped beam with a piezoelectric patch subject to pulse forcing terms. Results with Timoshenko models that include surface efects are presented for micro- and nanoscale. It was observed that the efects are signifcant just in nanoscale. We also simulate the frequency efects of a doublespan beam in which one segment includes rotatory inertia and shear deformation and the other one neglects both phenomena. Te proposed analytical methodology can be useful in the design of micro- and nanoresonator structures that involve deformable fexural models for detecting and imaging of physical and biochemical quantities. |
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Claeyssen, Julio Cesar RuizCopetti, Rosemaira DalcinTonetto, LeticiaCarvalho, Joao Batista da Paz2021-08-18T04:51:36Z20181687-9139http://hdl.handle.net/10183/225881001080355Vibration dynamics of elastic beams that are used in nanotechnology, such as atomic force microscope modeling and carbon nanotubes, are considered in terms of a fundamental response within a matrix framework. Te modeling equations with piezoelectric and surface scale efects are written as a matrix diferential equation subject to tip-sample general boundary conditions and to compatibility conditions for the case of multispan beams. We considered a quadratic and a cubic eigenvalue problem related to the inclusion of smart materials and surface efects. Simulations were performed for a two stepped beam with a piezoelectric patch subject to pulse forcing terms. Results with Timoshenko models that include surface efects are presented for micro- and nanoscale. It was observed that the efects are signifcant just in nanoscale. We also simulate the frequency efects of a doublespan beam in which one segment includes rotatory inertia and shear deformation and the other one neglects both phenomena. Te proposed analytical methodology can be useful in the design of micro- and nanoresonator structures that involve deformable fexural models for detecting and imaging of physical and biochemical quantities.application/pdfengAdvances in mathematical physics (Online). New York: Hindawi, 2018. Vol. 2018, (2018), Article ID 9268973, 24 p.Vigas elásticasVibração de estruturasNanotecnologiaNanobeams and AFM subject to piezoelectric and surface scale effectsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001080355.pdf.txt001080355.pdf.txtExtracted Texttext/plain94912http://www.lume.ufrgs.br/bitstream/10183/225881/2/001080355.pdf.txt28c552ebe21957262f0969e62b955c14MD52ORIGINAL001080355.pdfTexto completo (inglês)application/pdf2912395http://www.lume.ufrgs.br/bitstream/10183/225881/1/001080355.pdf3e88b114644cdeb62b215823eedff95bMD5110183/2258812021-08-18 05:21:48.551oai:www.lume.ufrgs.br:10183/225881Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-08-18T08:21:48Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
title |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
spellingShingle |
Nanobeams and AFM subject to piezoelectric and surface scale effects Claeyssen, Julio Cesar Ruiz Vigas elásticas Vibração de estruturas Nanotecnologia |
title_short |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
title_full |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
title_fullStr |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
title_full_unstemmed |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
title_sort |
Nanobeams and AFM subject to piezoelectric and surface scale effects |
author |
Claeyssen, Julio Cesar Ruiz |
author_facet |
Claeyssen, Julio Cesar Ruiz Copetti, Rosemaira Dalcin Tonetto, Leticia Carvalho, Joao Batista da Paz |
author_role |
author |
author2 |
Copetti, Rosemaira Dalcin Tonetto, Leticia Carvalho, Joao Batista da Paz |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Claeyssen, Julio Cesar Ruiz Copetti, Rosemaira Dalcin Tonetto, Leticia Carvalho, Joao Batista da Paz |
dc.subject.por.fl_str_mv |
Vigas elásticas Vibração de estruturas Nanotecnologia |
topic |
Vigas elásticas Vibração de estruturas Nanotecnologia |
description |
Vibration dynamics of elastic beams that are used in nanotechnology, such as atomic force microscope modeling and carbon nanotubes, are considered in terms of a fundamental response within a matrix framework. Te modeling equations with piezoelectric and surface scale efects are written as a matrix diferential equation subject to tip-sample general boundary conditions and to compatibility conditions for the case of multispan beams. We considered a quadratic and a cubic eigenvalue problem related to the inclusion of smart materials and surface efects. Simulations were performed for a two stepped beam with a piezoelectric patch subject to pulse forcing terms. Results with Timoshenko models that include surface efects are presented for micro- and nanoscale. It was observed that the efects are signifcant just in nanoscale. We also simulate the frequency efects of a doublespan beam in which one segment includes rotatory inertia and shear deformation and the other one neglects both phenomena. Te proposed analytical methodology can be useful in the design of micro- and nanoresonator structures that involve deformable fexural models for detecting and imaging of physical and biochemical quantities. |
publishDate |
2018 |
dc.date.issued.fl_str_mv |
2018 |
dc.date.accessioned.fl_str_mv |
2021-08-18T04:51:36Z |
dc.type.driver.fl_str_mv |
Estrangeiro 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://hdl.handle.net/10183/225881 |
dc.identifier.issn.pt_BR.fl_str_mv |
1687-9139 |
dc.identifier.nrb.pt_BR.fl_str_mv |
001080355 |
identifier_str_mv |
1687-9139 001080355 |
url |
http://hdl.handle.net/10183/225881 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Advances in mathematical physics (Online). New York: Hindawi, 2018. Vol. 2018, (2018), Article ID 9268973, 24 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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