Geometry and tool motion planning for curvature adapted CNC machining

dc.contributor.authorBartoň, Michael
dc.contributor.authorBizzarri, Michal
dc.contributor.authorRist, Florian
dc.contributor.authorSliusarenko, Oleksii
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2021-10-25T10:00:26Z
dc.date.available2021-10-25T10:00:26Z
dc.date.issued2021
dc.description.abstract-translatedCNC machining is the leading subtractive manufacturing technology. Although it is in use since decades, it is far from fully solved and still a rich source for challenging problems in geometric computing. We demonstrate this at hand of 5-axis machining of freeform surfaces, where the degrees of freedom in selecting and moving the cutting tool allow one to adapt the tool motion optimally to the surface to be produced. We aim at a high-quality surface finish, thereby reducing the need for hard-to-control post-machining processes such as grinding and polishing. Our work is based on a careful geometric analysis of curvature-adapted machining via so-called second order line contact between tool and target surface. On the geometric side, this leads to a new continuous transition between “dual” classical results in surface theory concerning osculating circles of surface curves and osculating cones of tangentially circumscribed developable surfaces. Practically, it serves as an effective basis for tool motion planning. Unlike previous approaches to curvature-adapted machining, we solve locally optimal tool positioning and motion planning within a single optimization framework and achieve curvature adaptation even for convex surfaces. This is possible with a toroidal cutter that contains a negatively curved cutting area. The effectiveness of our approach is verified at hand of digital models, simulations and machined parts, including a comparison to results generated with commercial software.en
dc.format16 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationBARTOŇ, M. BIZZARRI, M. RIST, F. SLIUSARENKO, O. POTTMANN, H. Geometry and tool motion planning for curvature adapted CNC machining. ACM TRANSACTIONS ON GRAPHICS, 2021, roč. 40, č. 4, s. nestránkováno. ISSN: 0730-0301cs
dc.identifier.document-number674930900144
dc.identifier.doi10.1145/3450626.3459837
dc.identifier.issn0730-0301
dc.identifier.obd43933467
dc.identifier.uri2-s2.0-85111325811
dc.identifier.urihttp://hdl.handle.net/11025/45534
dc.language.isoenen
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.publisherAssociation for Computing Machineryen
dc.relation.ispartofseriesAcm Transactions On Graphicsen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© Association for Computing Machineryen
dc.rights.accessrestrictedAccessen
dc.subject.translatedComputer-Aided Manufacturingen
dc.subject.translatedCNC machiningen
dc.subject.translatedcurvature adapted machiningen
dc.subject.translatedcomputational fabricationen
dc.subject.translatedpath planning, motion planningen
dc.titleGeometry and tool motion planning for curvature adapted CNC machiningen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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