An overview on a nonideal system with three and a half degrees of freedom
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://dx.doi.org/10.1115/DETC2005-85426 http://hdl.handle.net/11449/68553 |
Resumo: | The present paper studies a system comprised of two blocks connected by springs and dampers, and a DC motor with limited power supply fixed on a block, characterizing a non-ideal problem. This DC motor exciting the system causes interactions between the motor and the structure supporting it. Because of that, the non-ideal mathematical formulation of the problem has one and a half extra degree of freedom than the ideal one. A suitable choice of physical parameters leads to internal resonance conditions, that is, its natural frequencies are multiple of each other, by a known integer quantity. The purpose here is to study the dynamic behavior of the system using an analytical method based on perturbation techniques. The literature shows that the averaging method is the more flexible method concerning non-ideal problems. Summarizing, an steady state solution in amplitude and phase coordinates was obtained with averaging method showing the dependence of the structure amplitudes with the rotation frequency of the motor. Moreover, this solution shows that on of the amplitude coordinates has influence in the determination of the stationary rotation frequency. The analytical solution obtained shows the presence of the rotation frequency in expressions representing the oscillations of the structure, and the presence of amplitude coordinates in expressions describing the dynamic motion of the DC motor. These characteristics show the influence not only of the motor on structure but also of the response of the structure on dynamical behavior of the motor. Copyright © 2005 by ASME. |
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An overview on a nonideal system with three and a half degrees of freedomDegrees of freedom (mechanics)MotorsNatural frequenciesPerturbation techniquesSprings (components)Physical parametersRotation frequencyStructure amplitudesNonlinear systemsThe present paper studies a system comprised of two blocks connected by springs and dampers, and a DC motor with limited power supply fixed on a block, characterizing a non-ideal problem. This DC motor exciting the system causes interactions between the motor and the structure supporting it. Because of that, the non-ideal mathematical formulation of the problem has one and a half extra degree of freedom than the ideal one. A suitable choice of physical parameters leads to internal resonance conditions, that is, its natural frequencies are multiple of each other, by a known integer quantity. The purpose here is to study the dynamic behavior of the system using an analytical method based on perturbation techniques. The literature shows that the averaging method is the more flexible method concerning non-ideal problems. Summarizing, an steady state solution in amplitude and phase coordinates was obtained with averaging method showing the dependence of the structure amplitudes with the rotation frequency of the motor. Moreover, this solution shows that on of the amplitude coordinates has influence in the determination of the stationary rotation frequency. The analytical solution obtained shows the presence of the rotation frequency in expressions representing the oscillations of the structure, and the presence of amplitude coordinates in expressions describing the dynamic motion of the DC motor. These characteristics show the influence not only of the motor on structure but also of the response of the structure on dynamical behavior of the motor. Copyright © 2005 by ASME.Department of Mechanical Design Mechanical Engineering Faculty University of Campinas, C.P.6122, CEP 13083-970, Campinas, SPDepartment of Statistics Applied Mathematics and Computer University of the Whole State of São Paulo, C.P. 178, CEP 13500-230, Rio Claro, SPUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Guilherme, Karen de LoloBalthazar, José Manoel [UNESP]Kurka, Paulo Roberta GardelTsuchida, Masayoshi2014-05-27T11:21:42Z2014-05-27T11:21:42Z2005-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1683-1690http://dx.doi.org/10.1115/DETC2005-85426Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 1 B, p. 1683-1690.http://hdl.handle.net/11449/6855310.1115/DETC2005-854262-s2.0-33244465437Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005info:eu-repo/semantics/openAccess2021-10-23T21:37:56Zoai:repositorio.unesp.br:11449/68553Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:51:15.631350Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
An overview on a nonideal system with three and a half degrees of freedom |
title |
An overview on a nonideal system with three and a half degrees of freedom |
spellingShingle |
An overview on a nonideal system with three and a half degrees of freedom Guilherme, Karen de Lolo Degrees of freedom (mechanics) Motors Natural frequencies Perturbation techniques Springs (components) Physical parameters Rotation frequency Structure amplitudes Nonlinear systems |
title_short |
An overview on a nonideal system with three and a half degrees of freedom |
title_full |
An overview on a nonideal system with three and a half degrees of freedom |
title_fullStr |
An overview on a nonideal system with three and a half degrees of freedom |
title_full_unstemmed |
An overview on a nonideal system with three and a half degrees of freedom |
title_sort |
An overview on a nonideal system with three and a half degrees of freedom |
author |
Guilherme, Karen de Lolo |
author_facet |
Guilherme, Karen de Lolo Balthazar, José Manoel [UNESP] Kurka, Paulo Roberta Gardel Tsuchida, Masayoshi |
author_role |
author |
author2 |
Balthazar, José Manoel [UNESP] Kurka, Paulo Roberta Gardel Tsuchida, Masayoshi |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Campinas (UNICAMP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Guilherme, Karen de Lolo Balthazar, José Manoel [UNESP] Kurka, Paulo Roberta Gardel Tsuchida, Masayoshi |
dc.subject.por.fl_str_mv |
Degrees of freedom (mechanics) Motors Natural frequencies Perturbation techniques Springs (components) Physical parameters Rotation frequency Structure amplitudes Nonlinear systems |
topic |
Degrees of freedom (mechanics) Motors Natural frequencies Perturbation techniques Springs (components) Physical parameters Rotation frequency Structure amplitudes Nonlinear systems |
description |
The present paper studies a system comprised of two blocks connected by springs and dampers, and a DC motor with limited power supply fixed on a block, characterizing a non-ideal problem. This DC motor exciting the system causes interactions between the motor and the structure supporting it. Because of that, the non-ideal mathematical formulation of the problem has one and a half extra degree of freedom than the ideal one. A suitable choice of physical parameters leads to internal resonance conditions, that is, its natural frequencies are multiple of each other, by a known integer quantity. The purpose here is to study the dynamic behavior of the system using an analytical method based on perturbation techniques. The literature shows that the averaging method is the more flexible method concerning non-ideal problems. Summarizing, an steady state solution in amplitude and phase coordinates was obtained with averaging method showing the dependence of the structure amplitudes with the rotation frequency of the motor. Moreover, this solution shows that on of the amplitude coordinates has influence in the determination of the stationary rotation frequency. The analytical solution obtained shows the presence of the rotation frequency in expressions representing the oscillations of the structure, and the presence of amplitude coordinates in expressions describing the dynamic motion of the DC motor. These characteristics show the influence not only of the motor on structure but also of the response of the structure on dynamical behavior of the motor. Copyright © 2005 by ASME. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-12-01 2014-05-27T11:21:42Z 2014-05-27T11:21:42Z |
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://dx.doi.org/10.1115/DETC2005-85426 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 1 B, p. 1683-1690. http://hdl.handle.net/11449/68553 10.1115/DETC2005-85426 2-s2.0-33244465437 |
url |
http://dx.doi.org/10.1115/DETC2005-85426 http://hdl.handle.net/11449/68553 |
identifier_str_mv |
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 1 B, p. 1683-1690. 10.1115/DETC2005-85426 2-s2.0-33244465437 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1683-1690 |
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_ |
1808129366635315200 |