Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem
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/S0100-73862002000200005 http://hdl.handle.net/11449/212606 |
Resumo: | This paper presents a study on the dynamics of the rattling problem in gearboxes under non-ideal excitation. The subject has being analyzed by a number of authors such as Karagiannis and Pfeiffer (1991), for the ideal excitation case. An interesting model of the same problem by Moon (1992) has been recently used by Souza and Caldas (1999) to detect chaotic behavior. We consider two spur gears with different diameters and gaps between the teeth. Suppose the motion of one gear to be given while the motion of the other is governed by its dynamics. In the ideal case, the driving wheel is supposed to undergo a sinusoidal motion with given constant amplitude and frequency. In this paper, we consider the motion to be a function of the system response and a limited energy source is adopted. Thus an extra degree of freedom is introduced in the problem. The equations of motion are obtained via a Lagrangian approach with some assumed characteristic torque curves. Next, extensive numerical integration is used to detect some interesting geometrical aspects of regular and irregular motions of the system response. |
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Repositório Institucional da UNESP |
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Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling ProblemGear rattlingnon-linear dynamicsnon-ideal systemsThis paper presents a study on the dynamics of the rattling problem in gearboxes under non-ideal excitation. The subject has being analyzed by a number of authors such as Karagiannis and Pfeiffer (1991), for the ideal excitation case. An interesting model of the same problem by Moon (1992) has been recently used by Souza and Caldas (1999) to detect chaotic behavior. We consider two spur gears with different diameters and gaps between the teeth. Suppose the motion of one gear to be given while the motion of the other is governed by its dynamics. In the ideal case, the driving wheel is supposed to undergo a sinusoidal motion with given constant amplitude and frequency. In this paper, we consider the motion to be a function of the system response and a limited energy source is adopted. Thus an extra degree of freedom is introduced in the problem. The equations of motion are obtained via a Lagrangian approach with some assumed characteristic torque curves. Next, extensive numerical integration is used to detect some interesting geometrical aspects of regular and irregular motions of the system response.Universidade de São Paulo, Escola PolitécnicaUniversidade de São Paulo, Instituto de FísicaUniversidade Estadual Paulista, Departamento de Estatística, Matemática Aplicada e ComputaçãoUniversidade Estadual Paulista, Departamento de Estatística, Matemática Aplicada e ComputaçãoThe Brazilian Society of Mechanical SciencesUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Souza, S. L. T. DeCaldas, I. L.Balthazar, J. M. [UNESP]Brasil, R. M. L. R. F.2021-07-14T10:42:32Z2021-07-14T10:42:32Z2002-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article111-114http://dx.doi.org/10.1590/S0100-73862002000200005Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 2, p. 111-114, 2002.0100-7386http://hdl.handle.net/11449/21260610.1590/S0100-73862002000200005S0100-73862002000200005S0100-73862002000200005.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciencesinfo:eu-repo/semantics/openAccess2021-10-23T12:40:00Zoai:repositorio.unesp.br:11449/212606Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:05:03.800704Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
title |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
spellingShingle |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem Souza, S. L. T. De Gear rattling non-linear dynamics non-ideal systems |
title_short |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
title_full |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
title_fullStr |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
title_full_unstemmed |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
title_sort |
Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem |
author |
Souza, S. L. T. De |
author_facet |
Souza, S. L. T. De Caldas, I. L. Balthazar, J. M. [UNESP] Brasil, R. M. L. R. F. |
author_role |
author |
author2 |
Caldas, I. L. Balthazar, J. M. [UNESP] Brasil, R. M. L. R. F. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Souza, S. L. T. De Caldas, I. L. Balthazar, J. M. [UNESP] Brasil, R. M. L. R. F. |
dc.subject.por.fl_str_mv |
Gear rattling non-linear dynamics non-ideal systems |
topic |
Gear rattling non-linear dynamics non-ideal systems |
description |
This paper presents a study on the dynamics of the rattling problem in gearboxes under non-ideal excitation. The subject has being analyzed by a number of authors such as Karagiannis and Pfeiffer (1991), for the ideal excitation case. An interesting model of the same problem by Moon (1992) has been recently used by Souza and Caldas (1999) to detect chaotic behavior. We consider two spur gears with different diameters and gaps between the teeth. Suppose the motion of one gear to be given while the motion of the other is governed by its dynamics. In the ideal case, the driving wheel is supposed to undergo a sinusoidal motion with given constant amplitude and frequency. In this paper, we consider the motion to be a function of the system response and a limited energy source is adopted. Thus an extra degree of freedom is introduced in the problem. The equations of motion are obtained via a Lagrangian approach with some assumed characteristic torque curves. Next, extensive numerical integration is used to detect some interesting geometrical aspects of regular and irregular motions of the system response. |
publishDate |
2002 |
dc.date.none.fl_str_mv |
2002-05 2021-07-14T10:42:32Z 2021-07-14T10:42:32Z |
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/S0100-73862002000200005 Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 2, p. 111-114, 2002. 0100-7386 http://hdl.handle.net/11449/212606 10.1590/S0100-73862002000200005 S0100-73862002000200005 S0100-73862002000200005.pdf |
url |
http://dx.doi.org/10.1590/S0100-73862002000200005 http://hdl.handle.net/11449/212606 |
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. 2, p. 111-114, 2002. 0100-7386 10.1590/S0100-73862002000200005 S0100-73862002000200005 S0100-73862002000200005.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 |
111-114 |
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_ |
1808129281713242112 |