Three-axes error modeling based on second order dual numbers

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dc.contributor.authorHolub, Michalcs
dc.contributor.authorHrdina, Jaroslavcs
dc.contributor.authorVašík, Petrcs
dc.contributor.authorVetiška, Jancs
dc.coverage.issue2cs
dc.coverage.volume5cs
dc.date.issued2015-11-17cs
dc.description.abstractThe aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.en
dc.description.abstractThe aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.en
dc.formattextcs
dc.format.extent1-11cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationJournal of Mathematics in Industry. 2015, vol. 5, issue 2, p. 1-11.en
dc.identifier.doi10.1186/s13362-015-0016-ycs
dc.identifier.issn2190-5983cs
dc.identifier.orcid0000-0002-3101-9068cs
dc.identifier.orcid0000-0003-2460-7571cs
dc.identifier.orcid0000-0001-6725-7378cs
dc.identifier.orcid0000-0002-4285-1378cs
dc.identifier.other118337cs
dc.identifier.researcheridD-5710-2018cs
dc.identifier.researcheridK-7147-2019cs
dc.identifier.researcheridM-4620-2016cs
dc.identifier.researcheridCDX-2258-2022cs
dc.identifier.scopus55643022000cs
dc.identifier.scopus14044864000cs
dc.identifier.scopus36761783000cs
dc.identifier.scopus36247772700cs
dc.identifier.urihttp://hdl.handle.net/11012/51841
dc.language.isoencs
dc.publisherSpringer-Verlagcs
dc.relation.ispartofJournal of Mathematics in Industrycs
dc.relation.urihttp://www.mathematicsinindustry.com/content/5/1/2cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2190-5983/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectmatricesen
dc.subjectdual numbersen
dc.subjectkinematicsen
dc.subjecterror modelingen
dc.subjectmatrices
dc.subjectdual numbers
dc.subjectkinematics
dc.subjecterror modeling
dc.titleThree-axes error modeling based on second order dual numbersen
dc.title.alternativeThree-axes error modeling based on second order dual numbersen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-118337en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:07:01en
sync.item.modts2025.10.14 09:47:09en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav výrobních strojů, systémů a robotikycs
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