Mostrar el registro sencillo del ítem

Tolerance Analysis by Polytopes: Taking into account degrees of freedom with cap half-spaces

hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorHOMRI, Lazhar
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.authorBALLU, Alex
IDREF: 106013637
dc.date.accessioned2021-05-14T09:55:41Z
dc.date.available2021-05-14T09:55:41Z
dc.date.issued2015
dc.identifier.issn0010-4485
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77720
dc.description.abstractEnTo determine the relative position of any two surfaces in a system, one approach is to useoperations (Minkowski sum and intersection) on sets of constraints. These constraints aremade compliant with half-spaces of R^n where each set of half-spaces defines an operandpolyhedron. These operands are generally unbounded due to the inclusion of degrees ofinvariance for surfaces and degrees of freedom for joints defining theoretically unlimiteddisplacements. To solve operations on operands, Minkowski sums in particular, "cap" halfspacesare added to each polyhedron to make it compliant with a polytope which is bydefinition a bounded polyhedron. The difficulty of this method lies in controlling the influenceof these additional half-spaces on the topology of polytopes calculated by sum or intersection.This is necessary to validate the geometric tolerances that ensure the compliance of amechanical system in terms of functional requirements.
dc.language.isoen
dc.publisherElsevier
dc.subject.enPolytope
dc.subject.enPolyhedron
dc.subject.enMinkowski sum
dc.subject.enDegree of freedom
dc.subject.enCap half-spaces
dc.subject.enTolerance analysis
dc.title.enTolerance Analysis by Polytopes: Taking into account degrees of freedom with cap half-spaces
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cad.2014.11.005
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]
dc.subject.halInformatique [cs]/Logiciel mathématique [cs.MS]
dc.identifier.arxiv1509.08763
bordeaux.journalComputer-Aided Design
bordeaux.page112--130
bordeaux.volume62
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issueC
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01202482
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01202482v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computer-Aided%20Design&rft.date=2015&rft.volume=62&rft.issue=C&rft.spage=112--130&rft.epage=112--130&rft.eissn=0010-4485&rft.issn=0010-4485&rft.au=HOMRI,%20Lazhar&TEISSANDIER,%20Denis&BALLU,%20Alex&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem