A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

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dc.contributor.authorKureš, Miroslavcs
dc.coverage.issue4cs
dc.coverage.volume23cs
dc.date.issued2019-12-31cs
dc.description.abstractMoving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.en
dc.description.abstractMoving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.en
dc.formattextcs
dc.format.extent396-401cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationProcedia Structural Integrity. 2019, vol. 23, issue 4, p. 396-401.en
dc.identifier.doi10.1016/j.prostr.2020.01.119cs
dc.identifier.issn2452-3216cs
dc.identifier.orcid0000-0001-6222-389Xcs
dc.identifier.other162360cs
dc.identifier.urihttp://hdl.handle.net/11012/184650
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofProcedia Structural Integritycs
dc.relation.urihttps://authors.elsevier.com/sd/article/S2452-3216(20)30185-2cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2452-3216/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectsliding vectoren
dc.subjectdual numberen
dc.subjectdual spaceen
dc.subjectcurves in dual spaceen
dc.subjectmotoren
dc.subjectscrewen
dc.subjectcurvatureen
dc.subjecttorsionen
dc.subjectsliding vector
dc.subjectdual number
dc.subjectdual space
dc.subjectcurves in dual space
dc.subjectmotor
dc.subjectscrew
dc.subjectcurvature
dc.subjecttorsion
dc.titleA characterization of sliding vectors by dual numbers, some dual curves and the screw calculusen
dc.title.alternativeA characterization of sliding vectors by dual numbers, some dual curves and the screw calculusen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-162360en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:06:49en
sync.item.modts2025.10.14 10:12:57en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs

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