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dc.contributor.authorDELOS, Vincent
dc.contributor.authorARROYAVE-TOBÓN, Santiago
dc.contributor.authorTEISSANDIER, Denis
dc.date.accessioned2021-05-14T09:48:23Z
dc.date.available2021-05-14T09:48:23Z
dc.date.issued2018-03-21
dc.identifier.issn0010-4485
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77123
dc.description.abstractEnThere are several models used in mechanical design to study the behavior of mechanical systems involving geometric variations. By simulating defects with sets of constraints it is possible to study simultaneously all the configurations of mechanisms, whether over-constrained or not. Using this method, the accumulation of defects is calculated by summing sets of constraints derived from features (toleranced surfaces and joints) in the tolerance chain. These sets are usually unbounded objects (R 6-polyhedra, 3 parameters for the small rotation, 3 for the small translation), due to the unbounded displacements associated with the degrees of freedom of features. For computational and algorithmic reasons, cap facets are introduced into the operand polyhedra to obtain bounded objects (R 6-polytopes) and facilitate computations. However, the consequence is an increase in the complexity of the models due to the multiplication of caps during the computations. In response to this situation, we formalized and tested a method for controlling the effects of cap facets. Based on the combinatorial properties of polytopes, we propose to trace the operand faces during the different operations. An industrial case is solved and discussed in order to show the significant gain in computational time when applying the new method. This example has been chosen to be as general as possible to illustrate the genericity of the method.
dc.language.isoen
dc.publisherElsevier
dc.subject.enMinkowski sum
dc.subject.enCap half-space
dc.subject.enTraceability
dc.subject.enTolerance analysis
dc.subject.enDegrees of freedom
dc.subject.enPolytopes
dc.title.enModel reduction in geometric tolerancing by polytopes
dc.typeArticle de revue
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.journalComputer-Aided Design
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-01741395
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01741395v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computer-Aided%20Design&rft.date=2018-03-21&rft.eissn=0010-4485&rft.issn=0010-4485&rft.au=DELOS,%20Vincent&ARROYAVE-TOB%C3%93N,%20Santiago&TEISSANDIER,%20Denis&rft.genre=article


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