Spinning rigid bodies driven by orbital forcing: the role of dry friction
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11071-021-07175-8 http://hdl.handle.net/11449/230192 |
Resumo: | A “circular orbital forcing” makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of a body subject to dry friction. We focus on the effect called reverse rotation (RR), where spinning and orbital rotations are antiparallel. Similar reverse dynamics include the rotations of Venus and Uranus, journal machinery bearings, tissue production reactors, and chiral active particles. Due to dissipation, RRs are possible only as a transient. Here, the transient or flip time tf depends on the circular driving frequency ω, unlike the viscous case previously studied. We find tf∼ ωγ-1μ-γ/2, where μ is the friction coefficient and γ= 0 (γ= 2) for low (high) ω. Whether RRs really occur depends on the initial conditions as well as on μ and H, a geometrical parameter. The critical Hc(μ) where RRs become possible follows a q-exponential with q≃ 1.9 , a more restrictive RR scenario than in the wet case. We use animations to visualize the different dynamical regimes that emerge from the highly nonlinear dissipation mechanism of dry friction. Our results are valid across multiple investigated rigid body shapes. |
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Repositório Institucional da UNESP |
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spelling |
Spinning rigid bodies driven by orbital forcing: the role of dry frictionCircular orbital forcingDry frictionReverse rotationsRigid-body dynamicsA “circular orbital forcing” makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of a body subject to dry friction. We focus on the effect called reverse rotation (RR), where spinning and orbital rotations are antiparallel. Similar reverse dynamics include the rotations of Venus and Uranus, journal machinery bearings, tissue production reactors, and chiral active particles. Due to dissipation, RRs are possible only as a transient. Here, the transient or flip time tf depends on the circular driving frequency ω, unlike the viscous case previously studied. We find tf∼ ωγ-1μ-γ/2, where μ is the friction coefficient and γ= 0 (γ= 2) for low (high) ω. Whether RRs really occur depends on the initial conditions as well as on μ and H, a geometrical parameter. The critical Hc(μ) where RRs become possible follows a q-exponential with q≃ 1.9 , a more restrictive RR scenario than in the wet case. We use animations to visualize the different dynamical regimes that emerge from the highly nonlinear dissipation mechanism of dry friction. Our results are valid across multiple investigated rigid body shapes.ICTP South American Institute for Fundamental Research & Instituto de Física Teórica - UNESPSer Educacional S.A., PernambucoDepartamento de Física Universidade Federal de Pernambuco, PernambucoICTP South American Institute for Fundamental Research & Instituto de Física Teórica - UNESPUniversidade Estadual Paulista (UNESP)Ser Educacional S.A.Universidade Federal de Pernambuco (UFPE)de Castro, Pablo [UNESP]Lima, Tiago AraújoParisio, Fernando2022-04-29T08:38:19Z2022-04-29T08:38:19Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s11071-021-07175-8Nonlinear Dynamics.1573-269X0924-090Xhttp://hdl.handle.net/11449/23019210.1007/s11071-021-07175-82-s2.0-85122540660Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2022-04-29T08:38:20Zoai:repositorio.unesp.br:11449/230192Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:01:26.790946Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
title |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
spellingShingle |
Spinning rigid bodies driven by orbital forcing: the role of dry friction de Castro, Pablo [UNESP] Circular orbital forcing Dry friction Reverse rotations Rigid-body dynamics |
title_short |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
title_full |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
title_fullStr |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
title_full_unstemmed |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
title_sort |
Spinning rigid bodies driven by orbital forcing: the role of dry friction |
author |
de Castro, Pablo [UNESP] |
author_facet |
de Castro, Pablo [UNESP] Lima, Tiago Araújo Parisio, Fernando |
author_role |
author |
author2 |
Lima, Tiago Araújo Parisio, Fernando |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Ser Educacional S.A. Universidade Federal de Pernambuco (UFPE) |
dc.contributor.author.fl_str_mv |
de Castro, Pablo [UNESP] Lima, Tiago Araújo Parisio, Fernando |
dc.subject.por.fl_str_mv |
Circular orbital forcing Dry friction Reverse rotations Rigid-body dynamics |
topic |
Circular orbital forcing Dry friction Reverse rotations Rigid-body dynamics |
description |
A “circular orbital forcing” makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of a body subject to dry friction. We focus on the effect called reverse rotation (RR), where spinning and orbital rotations are antiparallel. Similar reverse dynamics include the rotations of Venus and Uranus, journal machinery bearings, tissue production reactors, and chiral active particles. Due to dissipation, RRs are possible only as a transient. Here, the transient or flip time tf depends on the circular driving frequency ω, unlike the viscous case previously studied. We find tf∼ ωγ-1μ-γ/2, where μ is the friction coefficient and γ= 0 (γ= 2) for low (high) ω. Whether RRs really occur depends on the initial conditions as well as on μ and H, a geometrical parameter. The critical Hc(μ) where RRs become possible follows a q-exponential with q≃ 1.9 , a more restrictive RR scenario than in the wet case. We use animations to visualize the different dynamical regimes that emerge from the highly nonlinear dissipation mechanism of dry friction. Our results are valid across multiple investigated rigid body shapes. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-29T08:38:19Z 2022-04-29T08:38:19Z 2022-01-01 |
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/10.1007/s11071-021-07175-8 Nonlinear Dynamics. 1573-269X 0924-090X http://hdl.handle.net/11449/230192 10.1007/s11071-021-07175-8 2-s2.0-85122540660 |
url |
http://dx.doi.org/10.1007/s11071-021-07175-8 http://hdl.handle.net/11449/230192 |
identifier_str_mv |
Nonlinear Dynamics. 1573-269X 0924-090X 10.1007/s11071-021-07175-8 2-s2.0-85122540660 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nonlinear Dynamics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128886107537408 |