Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/23438 |
Resumo: | The main purpose of this paper is to present and discuss a methodology for a dynamic modeling and analysis of rigid multibody systems with translational clearance joints. The methodology is based on the nonsmooth dynamics approach, in which the interaction of the elements that constitute a translational clearance joint is modeled with multiple frictional unilateral constraints. In the following, the most fundamental issues of the nonsmooth dynam-ics theory are revised. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini’s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb’s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau time-stepping method. Finally, the classical slider-crank mechanism is considered as a demonstrative ap-plication example and numerical results are presented. The results obtained show that the existence of clearance joints in the modeling of multibody systems influences their dynamics response. |
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Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approachNonsmooth dynamicsClearance jointsContact-impact mechanicsLinear complementarity problemMoreau time-stepping methodRigid multibody systemsScience & TechnologyThe main purpose of this paper is to present and discuss a methodology for a dynamic modeling and analysis of rigid multibody systems with translational clearance joints. The methodology is based on the nonsmooth dynamics approach, in which the interaction of the elements that constitute a translational clearance joint is modeled with multiple frictional unilateral constraints. In the following, the most fundamental issues of the nonsmooth dynam-ics theory are revised. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini’s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb’s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau time-stepping method. Finally, the classical slider-crank mechanism is considered as a demonstrative ap-plication example and numerical results are presented. The results obtained show that the existence of clearance joints in the modeling of multibody systems influences their dynamics response.Fundação para a Ciência e a Tecnologia (FCT)SpringerUniversidade do MinhoFlores, PauloLeine, RemcoGlocker, Christoph20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/23438eng1384-564010.1007/s11044-009-9178-ywww.springerlink.cominfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:53:53Zoai:repositorium.sdum.uminho.pt:1822/23438Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:53:22.915997Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
title |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
spellingShingle |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach Flores, Paulo Nonsmooth dynamics Clearance joints Contact-impact mechanics Linear complementarity problem Moreau time-stepping method Rigid multibody systems Science & Technology |
title_short |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
title_full |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
title_fullStr |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
title_full_unstemmed |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
title_sort |
Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach |
author |
Flores, Paulo |
author_facet |
Flores, Paulo Leine, Remco Glocker, Christoph |
author_role |
author |
author2 |
Leine, Remco Glocker, Christoph |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Flores, Paulo Leine, Remco Glocker, Christoph |
dc.subject.por.fl_str_mv |
Nonsmooth dynamics Clearance joints Contact-impact mechanics Linear complementarity problem Moreau time-stepping method Rigid multibody systems Science & Technology |
topic |
Nonsmooth dynamics Clearance joints Contact-impact mechanics Linear complementarity problem Moreau time-stepping method Rigid multibody systems Science & Technology |
description |
The main purpose of this paper is to present and discuss a methodology for a dynamic modeling and analysis of rigid multibody systems with translational clearance joints. The methodology is based on the nonsmooth dynamics approach, in which the interaction of the elements that constitute a translational clearance joint is modeled with multiple frictional unilateral constraints. In the following, the most fundamental issues of the nonsmooth dynam-ics theory are revised. The dynamics of rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini’s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb’s law for dry friction. The resulting contact-impact problem is formulated and solved as a linear complementarity problem, which is embedded in the Moreau time-stepping method. Finally, the classical slider-crank mechanism is considered as a demonstrative ap-plication example and numerical results are presented. The results obtained show that the existence of clearance joints in the modeling of multibody systems influences their dynamics response. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010 2010-01-01T00:00:00Z |
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://hdl.handle.net/1822/23438 |
url |
http://hdl.handle.net/1822/23438 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1384-5640 10.1007/s11044-009-9178-y www.springerlink.com |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133129354510336 |