A contribution for nonlinear structural dynamics characterization of cantilever beams
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://business.highbeam.com/437750/article-1G1-152997220/contribution-nonlinear-structural-dynamics-characterization http://hdl.handle.net/11449/68501 |
Resumo: | Successful experiments in nonlinear vibrations have been carried out with cantilever beams under harmonic base excitation. A flexible slender cantilever has been chosen as a convenient structure to exhibit modal interactions, subharmonic, superharmonic and chaotic motions, and others interesting nonlinear phenomena. The tools employed to analyze the dynamics of the beam generally include frequency- and force-response curves. To produce force-response curves, one keeps the excitation frequency constant and slowly varies the excitation amplitude, on the other hand, to produce frequency-response curves, one keeps the excitation amplitude fixed and slowly varies the excitation frequency. However, keeping the excitation amplitude constant while varying the excitation frequency is a difficult task with an open-loop measurement system. In this paper, it is proposed a closed-loop monitor vibration system available with the electromagnetic shaker in order to keep the harmonic base excitation amplitude constant. This experimental setup constitutes a significant improvement to produce frequency-response curves and the advantages of this setup are evaluated in a case study. The beam is excited with a periodic base motion transverse to the axis of the beam near the third natural frequency. Modal interactions and two-period quasi-periodic motion are observed involving the first and the third modes. Frequency-response curves, phase space and Poincaré map are used to characterize the dynamics of the beam. |
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A contribution for nonlinear structural dynamics characterization of cantilever beamsBase excitationBase motionChaotic motionsClosed-loopElectromagnetic shakersExcitation amplitudesExcitation frequencyFrequency-response curvesMeasurement systemModal interactionsNon-linear phenomenaNon-linear vibrationsNonlinear structural dynamicsPhase spacesPoincareQuasi-periodic motionSubharmonicsSuper-harmonicVibration systemsDynamicsPhase space methodsStructural dynamicsCantilever beamsSuccessful experiments in nonlinear vibrations have been carried out with cantilever beams under harmonic base excitation. A flexible slender cantilever has been chosen as a convenient structure to exhibit modal interactions, subharmonic, superharmonic and chaotic motions, and others interesting nonlinear phenomena. The tools employed to analyze the dynamics of the beam generally include frequency- and force-response curves. To produce force-response curves, one keeps the excitation frequency constant and slowly varies the excitation amplitude, on the other hand, to produce frequency-response curves, one keeps the excitation amplitude fixed and slowly varies the excitation frequency. However, keeping the excitation amplitude constant while varying the excitation frequency is a difficult task with an open-loop measurement system. In this paper, it is proposed a closed-loop monitor vibration system available with the electromagnetic shaker in order to keep the harmonic base excitation amplitude constant. This experimental setup constitutes a significant improvement to produce frequency-response curves and the advantages of this setup are evaluated in a case study. The beam is excited with a periodic base motion transverse to the axis of the beam near the third natural frequency. Modal interactions and two-period quasi-periodic motion are observed involving the first and the third modes. Frequency-response curves, phase space and Poincaré map are used to characterize the dynamics of the beam.Centro Técnico Aeroespacial Instituto de Aeronáutica e Espaço Divisão de Integração e Ensaios, Praça Eduardo Gomes, 50, 12.228-904 São José dos Campos, SPUNESP - Universidade Estadual Paulista Faculdade de Engenharia Departamento de Mecânica, C.P. 205, 12.516-410 Guaratinguetá, SPUNESP - Universidade Estadual Paulista Faculdade de Engenharia Departamento de Mecânica, C.P. 205, 12.516-410 Guaratinguetá, SPInstituto de Aeronáutica e Espaço (IAE)Universidade Estadual Paulista (Unesp)Barros, Everaldo deMathias, Mauro Hugo [UNESP]2014-05-27T11:21:40Z2014-05-27T11:21:40Z2005-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1950-1959http://business.highbeam.com/437750/article-1G1-152997220/contribution-nonlinear-structural-dynamics-characterizationInternational Congress on Noise Control Engineering 2005, INTERNOISE 2005, v. 3, p. 1950-1959.http://hdl.handle.net/11449/685012-s2.0-848738602199074899537066812Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Congress on Noise Control Engineering 2005, INTERNOISE 2005info:eu-repo/semantics/openAccess2024-07-01T20:32:39Zoai:repositorio.unesp.br:11449/68501Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-07-01T20:32:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
title |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
spellingShingle |
A contribution for nonlinear structural dynamics characterization of cantilever beams Barros, Everaldo de Base excitation Base motion Chaotic motions Closed-loop Electromagnetic shakers Excitation amplitudes Excitation frequency Frequency-response curves Measurement system Modal interactions Non-linear phenomena Non-linear vibrations Nonlinear structural dynamics Phase spaces Poincare Quasi-periodic motion Subharmonics Super-harmonic Vibration systems Dynamics Phase space methods Structural dynamics Cantilever beams |
title_short |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
title_full |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
title_fullStr |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
title_full_unstemmed |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
title_sort |
A contribution for nonlinear structural dynamics characterization of cantilever beams |
author |
Barros, Everaldo de |
author_facet |
Barros, Everaldo de Mathias, Mauro Hugo [UNESP] |
author_role |
author |
author2 |
Mathias, Mauro Hugo [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Instituto de Aeronáutica e Espaço (IAE) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Barros, Everaldo de Mathias, Mauro Hugo [UNESP] |
dc.subject.por.fl_str_mv |
Base excitation Base motion Chaotic motions Closed-loop Electromagnetic shakers Excitation amplitudes Excitation frequency Frequency-response curves Measurement system Modal interactions Non-linear phenomena Non-linear vibrations Nonlinear structural dynamics Phase spaces Poincare Quasi-periodic motion Subharmonics Super-harmonic Vibration systems Dynamics Phase space methods Structural dynamics Cantilever beams |
topic |
Base excitation Base motion Chaotic motions Closed-loop Electromagnetic shakers Excitation amplitudes Excitation frequency Frequency-response curves Measurement system Modal interactions Non-linear phenomena Non-linear vibrations Nonlinear structural dynamics Phase spaces Poincare Quasi-periodic motion Subharmonics Super-harmonic Vibration systems Dynamics Phase space methods Structural dynamics Cantilever beams |
description |
Successful experiments in nonlinear vibrations have been carried out with cantilever beams under harmonic base excitation. A flexible slender cantilever has been chosen as a convenient structure to exhibit modal interactions, subharmonic, superharmonic and chaotic motions, and others interesting nonlinear phenomena. The tools employed to analyze the dynamics of the beam generally include frequency- and force-response curves. To produce force-response curves, one keeps the excitation frequency constant and slowly varies the excitation amplitude, on the other hand, to produce frequency-response curves, one keeps the excitation amplitude fixed and slowly varies the excitation frequency. However, keeping the excitation amplitude constant while varying the excitation frequency is a difficult task with an open-loop measurement system. In this paper, it is proposed a closed-loop monitor vibration system available with the electromagnetic shaker in order to keep the harmonic base excitation amplitude constant. This experimental setup constitutes a significant improvement to produce frequency-response curves and the advantages of this setup are evaluated in a case study. The beam is excited with a periodic base motion transverse to the axis of the beam near the third natural frequency. Modal interactions and two-period quasi-periodic motion are observed involving the first and the third modes. Frequency-response curves, phase space and Poincaré map are used to characterize the dynamics of the beam. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-12-01 2014-05-27T11:21:40Z 2014-05-27T11:21:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://business.highbeam.com/437750/article-1G1-152997220/contribution-nonlinear-structural-dynamics-characterization International Congress on Noise Control Engineering 2005, INTERNOISE 2005, v. 3, p. 1950-1959. http://hdl.handle.net/11449/68501 2-s2.0-84873860219 9074899537066812 |
url |
http://business.highbeam.com/437750/article-1G1-152997220/contribution-nonlinear-structural-dynamics-characterization http://hdl.handle.net/11449/68501 |
identifier_str_mv |
International Congress on Noise Control Engineering 2005, INTERNOISE 2005, v. 3, p. 1950-1959. 2-s2.0-84873860219 9074899537066812 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Congress on Noise Control Engineering 2005, INTERNOISE 2005 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1950-1959 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649620563197952 |