Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0100-73862002000300014 http://hdl.handle.net/11449/212607 |
Resumo: | In this paper is Analyzed the local dynamical behavior of a slewing flexible structure considering nonlinear curvature. The dynamics of the original (nonlinear) governing equations of motion are reduced to the center manifold in the neighborhood of an equilibrium solution with the purpose of locally study the stability of the system. In this critical point, a Hopf bifurcation occurs. In this region, one can find values for the control parameter (structural damping coefficient) where the system is unstable and values where the system stability is assured (periodic motion). This local analysis of the system reduced to the center manifold assures the stable / unstable behavior of the original system around a known solution. |
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Repositório Institucional da UNESP |
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Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case studyCenter manifoldequilibrium solutionNon-ideal dynamical systemsIn this paper is Analyzed the local dynamical behavior of a slewing flexible structure considering nonlinear curvature. The dynamics of the original (nonlinear) governing equations of motion are reduced to the center manifold in the neighborhood of an equilibrium solution with the purpose of locally study the stability of the system. In this critical point, a Hopf bifurcation occurs. In this region, one can find values for the control parameter (structural damping coefficient) where the system is unstable and values where the system stability is assured (periodic motion). This local analysis of the system reduced to the center manifold assures the stable / unstable behavior of the original system around a known solution.Instituto Nacional de Pesquisas Espaciais, Centro Técnico AeroespacialVirginia Polytechnic Institute and State UniversityUniversidade Estadual PaulistaPontifícia Universidade Católica do Rio de Janeiro, Departamento de Engenharia MecânicaUniversidade Estadual PaulistaThe Brazilian Society of Mechanical SciencesInstituto Nacional de Pesquisas EspaciaisVirginia Polytechnic Institute and State UniversityUniversidade Estadual Paulista (Unesp)Pontifícia Universidade Católica do Rio de JaneiroFenili, A.Balthazar, J. M. [UNESP]Mook, D. T.Weber, H. I.2021-07-14T10:42:33Z2021-07-14T10:42:33Z2002-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article239-250http://dx.doi.org/10.1590/S0100-73862002000300014Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 3, p. 239-250, 2002.0100-7386http://hdl.handle.net/11449/21260710.1590/S0100-73862002000300014S0100-73862002000300014S0100-73862002000300014.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciencesinfo:eu-repo/semantics/openAccess2021-10-23T12:40:01Zoai:repositorio.unesp.br:11449/212607Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:23:52.499390Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
title |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
spellingShingle |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study Fenili, A. Center manifold equilibrium solution Non-ideal dynamical systems |
title_short |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
title_full |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
title_fullStr |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
title_full_unstemmed |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
title_sort |
Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study |
author |
Fenili, A. |
author_facet |
Fenili, A. Balthazar, J. M. [UNESP] Mook, D. T. Weber, H. I. |
author_role |
author |
author2 |
Balthazar, J. M. [UNESP] Mook, D. T. Weber, H. I. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Instituto Nacional de Pesquisas Espaciais Virginia Polytechnic Institute and State University Universidade Estadual Paulista (Unesp) Pontifícia Universidade Católica do Rio de Janeiro |
dc.contributor.author.fl_str_mv |
Fenili, A. Balthazar, J. M. [UNESP] Mook, D. T. Weber, H. I. |
dc.subject.por.fl_str_mv |
Center manifold equilibrium solution Non-ideal dynamical systems |
topic |
Center manifold equilibrium solution Non-ideal dynamical systems |
description |
In this paper is Analyzed the local dynamical behavior of a slewing flexible structure considering nonlinear curvature. The dynamics of the original (nonlinear) governing equations of motion are reduced to the center manifold in the neighborhood of an equilibrium solution with the purpose of locally study the stability of the system. In this critical point, a Hopf bifurcation occurs. In this region, one can find values for the control parameter (structural damping coefficient) where the system is unstable and values where the system stability is assured (periodic motion). This local analysis of the system reduced to the center manifold assures the stable / unstable behavior of the original system around a known solution. |
publishDate |
2002 |
dc.date.none.fl_str_mv |
2002-07 2021-07-14T10:42:33Z 2021-07-14T10:42:33Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S0100-73862002000300014 Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 3, p. 239-250, 2002. 0100-7386 http://hdl.handle.net/11449/212607 10.1590/S0100-73862002000300014 S0100-73862002000300014 S0100-73862002000300014.pdf |
url |
http://dx.doi.org/10.1590/S0100-73862002000300014 http://hdl.handle.net/11449/212607 |
identifier_str_mv |
Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 3, p. 239-250, 2002. 0100-7386 10.1590/S0100-73862002000300014 S0100-73862002000300014 S0100-73862002000300014.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of the Brazilian Society of Mechanical Sciences |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
239-250 |
dc.publisher.none.fl_str_mv |
The Brazilian Society of Mechanical Sciences |
publisher.none.fl_str_mv |
The Brazilian Society of Mechanical Sciences |
dc.source.none.fl_str_mv |
SciELO 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_ |
1808129516586926080 |