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Internal dissipation in the Dzhanibekov effect

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dc.contributor.authorTorre Rodríguez, Jaime Arturo de la
dc.contributor.authorEspañol Garrigos, José
dc.date.accessioned2025-06-27T13:18:14Z
dc.date.available2025-06-27T13:18:14Z
dc.date.issued0001-08-20
dc.descriptionThis is a Submitted Manuscript of an article published by Elsevier in "European Journal of Mechanics - A/Solids, Volume 106, 2024", available at: https://doi.org/10.1016/j.euromechsol.2024.105298
dc.description.abstractThe Dzhanibekov effect is the phenomenon by which triaxial objects like a spinning wing bolt may continuously flip their rotational axis when initially spinning around the intermediate axis of inertia. This effect is closely related to the Tennis Racket theorem that establishes that the intermediate axis of inertia is unstable. Over time, however, dissipation ensures that a torque free spinning body will eventually rotate around its major axis, in a process called precession relaxation, which counteracts the Dzhanibekov effect. Euler’s equations for a rigid body effectively describe the Dzhanibekov effect, but cannot account for the precession relaxation effect. A dissipative generalization of Euler’s equations displays two dissipative mechanisms: orientational diffusion and viscoelasticity. Here we show through numerical simulations of the dissipative Euler’s equations that orientational diffusion, rather than viscoelasticity, primarily drives precession relaxation and effectively suppresses the Dzhanibekov effect.en
dc.description.versionversión original
dc.identifier.citationJ. A. de la Torre, Pep Español, Internal dissipation in the Dzhanibekov effect, European Journal of Mechanics - A/Solids, Volume 106, 2024, article 105298, ISSN 0997-7538, https://doi.org/10.1016/j.euromechsol.2024.105298
dc.identifier.doihttps://doi.org/10.1016/j.euromechsol.2024.105298
dc.identifier.issn0997-7538
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26947
dc.journal.issue2025
dc.journal.titleEuropean Journal of Mechanics
dc.journal.volume106
dc.language.isoen
dc.page.final7
dc.page.initial1
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentFÍSICA FUNDAMENTAL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.uriAtribución-NoComercial 4.0 Internacional
dc.subject25 Ciencias de la Tierra y del Espacio
dc.subject25 Ciencias de la Tierra y del Espacio::2507 Geofísica
dc.subject24 Ciencias de la Vida
dc.subject12 Matemáticas
dc.subject.keywordsDzhanibekov efectoen
dc.subject.keywordsRelación de precesiónen
dc.subject.keywordsViscoelasticidaden
dc.subject.keywordsEcuaciones de Euleren
dc.subject.keywordsdisipativeen
dc.subject.keywordsCuerpo cuasirigidoen
dc.titleInternal dissipation in the Dzhanibekov effecten
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication488cdc69-4873-4328-9762-aa4d769eb267
relation.isAuthorOfPublicationc1a506e5-c37a-4d9c-a63a-5809431cb24c
relation.isAuthorOfPublication.latestForDiscovery488cdc69-4873-4328-9762-aa4d769eb267
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