Modal formulation of segmented Euler-Bernoulli beams
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/225816 |
Resumo: | We consider the obtention of modes and frequencies of segmented Euler-Bernoulli beams with internal damping and external viscous damping at the discontinuities of the sections. This is done by following a Newtonian approach in terms of a fundamental response of stationary beams subject to both types of damping. The use of a basis generated by the fundamental solution of a differential equation of fourth-order allows to formulate the eigenvalue problem and to write the modes shapes in a compact manner. For this, we consider a block matrix that carries the boundary conditions and intermediate conditions at the beams and values of the fundamental matrix at the ends and intermediate points of the beam. For each segment, the elements of the basis have the same shape since they are chosen as a convenient translation of the elements of the basis for the first segment. Our method avoids the use of the first-order state formulation also to rely on the Euler basis of a differential equation of fourth-order and it allows to envision how conditions will influence a chosen basis. |
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Copetti, Rosemaira DalcinRuiz Claeyssen, Julio CesarTsukazan, Teresa2021-08-18T04:35:19Z20071563-5147http://hdl.handle.net/10183/225816000684192We consider the obtention of modes and frequencies of segmented Euler-Bernoulli beams with internal damping and external viscous damping at the discontinuities of the sections. This is done by following a Newtonian approach in terms of a fundamental response of stationary beams subject to both types of damping. The use of a basis generated by the fundamental solution of a differential equation of fourth-order allows to formulate the eigenvalue problem and to write the modes shapes in a compact manner. For this, we consider a block matrix that carries the boundary conditions and intermediate conditions at the beams and values of the fundamental matrix at the ends and intermediate points of the beam. For each segment, the elements of the basis have the same shape since they are chosen as a convenient translation of the elements of the basis for the first segment. Our method avoids the use of the first-order state formulation also to rely on the Euler basis of a differential equation of fourth-order and it allows to envision how conditions will influence a chosen basis.application/pdfengMathematical problems in engineering. Newark, NJ. Vol. 2007 (2007), article ID 36261, 18 p.Modelagem de Euler-BernoulliModal formulation of segmented Euler-Bernoulli beamsEstrangeiroinfo: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:UFRGSTEXT000684192.pdf.txt000684192.pdf.txtExtracted Texttext/plain30497http://www.lume.ufrgs.br/bitstream/10183/225816/2/000684192.pdf.txt7dfe14a99da14906ba78b9862cb86e41MD52ORIGINAL000684192.pdfTexto completo (inglês)application/pdf2299278http://www.lume.ufrgs.br/bitstream/10183/225816/1/000684192.pdf7c3a38557788e484b5a1c8aae01335e3MD5110183/2258162021-08-18 05:20:53.979oai:www.lume.ufrgs.br:10183/225816Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-08-18T08:20:53Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Modal formulation of segmented Euler-Bernoulli beams |
title |
Modal formulation of segmented Euler-Bernoulli beams |
spellingShingle |
Modal formulation of segmented Euler-Bernoulli beams Copetti, Rosemaira Dalcin Modelagem de Euler-Bernoulli |
title_short |
Modal formulation of segmented Euler-Bernoulli beams |
title_full |
Modal formulation of segmented Euler-Bernoulli beams |
title_fullStr |
Modal formulation of segmented Euler-Bernoulli beams |
title_full_unstemmed |
Modal formulation of segmented Euler-Bernoulli beams |
title_sort |
Modal formulation of segmented Euler-Bernoulli beams |
author |
Copetti, Rosemaira Dalcin |
author_facet |
Copetti, Rosemaira Dalcin Ruiz Claeyssen, Julio Cesar Tsukazan, Teresa |
author_role |
author |
author2 |
Ruiz Claeyssen, Julio Cesar Tsukazan, Teresa |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Copetti, Rosemaira Dalcin Ruiz Claeyssen, Julio Cesar Tsukazan, Teresa |
dc.subject.por.fl_str_mv |
Modelagem de Euler-Bernoulli |
topic |
Modelagem de Euler-Bernoulli |
description |
We consider the obtention of modes and frequencies of segmented Euler-Bernoulli beams with internal damping and external viscous damping at the discontinuities of the sections. This is done by following a Newtonian approach in terms of a fundamental response of stationary beams subject to both types of damping. The use of a basis generated by the fundamental solution of a differential equation of fourth-order allows to formulate the eigenvalue problem and to write the modes shapes in a compact manner. For this, we consider a block matrix that carries the boundary conditions and intermediate conditions at the beams and values of the fundamental matrix at the ends and intermediate points of the beam. For each segment, the elements of the basis have the same shape since they are chosen as a convenient translation of the elements of the basis for the first segment. Our method avoids the use of the first-order state formulation also to rely on the Euler basis of a differential equation of fourth-order and it allows to envision how conditions will influence a chosen basis. |
publishDate |
2007 |
dc.date.issued.fl_str_mv |
2007 |
dc.date.accessioned.fl_str_mv |
2021-08-18T04:35:19Z |
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/10183/225816 |
dc.identifier.issn.pt_BR.fl_str_mv |
1563-5147 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000684192 |
identifier_str_mv |
1563-5147 000684192 |
url |
http://hdl.handle.net/10183/225816 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Mathematical problems in engineering. Newark, NJ. Vol. 2007 (2007), article ID 36261, 18 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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UFRGS |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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