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Tolerance analysis with polytopes in HV-description

hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorARROYAVE-TOBÓN, Santiago
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorTEISSANDIER, Denis
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorDELOS, Vincent
dc.date.accessioned2021-05-14T09:50:59Z
dc.date.available2021-05-14T09:50:59Z
dc.date.issued2017
dc.identifier.issn1530-9827
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77341
dc.description.abstractEnThis article proposes the use of polytopes in HV-description to solve tolerance analysis problems. Polytopes are defined by a finite set of half-spaces representing geometric, contact or functional specifications. However, the list of the vertices of the polytopes are useful for computing other operations as Minkowski sums. Then, this paper proposes a truncation algorithm to obtain the V-description of polytopes in R^n from its H-description. It is detailed how intersections of polytopes can be calculated by means of the truncation algorithm. Minkowski sums as well can be computed using this algorithm making use of the duality property of polytopes. Therefore, a Minkowski sum can be calculated intersecting some half-spaces in the dual space. Finally, the approach based on HV-polytopes is illustrated by the tolerance analysis of a real industrial case using the open source software PolitoCAT and politopix.
dc.language.isoen
dc.publisherAmerican Society of Mechanical Engineers
dc.title.enTolerance analysis with polytopes in HV-description
dc.typeArticle de revue
dc.identifier.doi10.1115/1.4036558
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Génie mécanique [physics.class-ph]
dc.subject.halInformatique [cs]/Logiciel mathématique [cs.MS]
bordeaux.journalJournal of Computing and Information Science in Engineering
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01518530
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01518530v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computing%20and%20Information%20Science%20in%20Engineering&rft.date=2017&rft.eissn=1530-9827&rft.issn=1530-9827&rft.au=ARROYAVE-TOB%C3%93N,%20Santiago&TEISSANDIER,%20Denis&DELOS,%20Vincent&rft.genre=article


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