Tractrix-based tool orientation control for 5-axis CNC machining.
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| Title: | Tractrix-based tool orientation control for 5-axis CNC machining. |
|---|---|
| Authors: | Han, Chang Yong1 cyhan@khu.ac.kr |
| Source: | Applied Mathematics & Computation. Jan2016 Part 1, Vol. 272, p92-99. 8p. |
| Subjects: | Numerical control of machine tools, Machine tools -- Automatic control, Computer-control machine tool operators, Machinery, Cutting (Materials) |
| Abstract: | We consider the tool orientation problem of a 5-axis CNC machine that cuts along a curved toolpath on a smooth workpiece surface. While the tool axis is required to maintain a fixed angle against the surface normal to achieve a constant cutting speed, it is allowed to rotate about the surface normal in an arbitrary manner. We control the variation of this azimuthal angle so that the instantaneous speed of the tool axis motion is minimal, which is a judicious choice for the efficient and robust machine performance. The ensuing curve traced by the tool axis turns out to be a generalized tractrix on the unit sphere determined by the curve traced by the surface normal vector, which is characterized by the property that the great circle determined by the corresponding points on the two curves is always tangent to the tractrix. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 110702484 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Tractrix-based tool orientation control for 5-axis CNC machining. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Han%2C+Chang+Yong%22">Han, Chang Yong</searchLink><relatesTo>1</relatesTo><i> cyhan@khu.ac.kr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Computation%22">Applied Mathematics & Computation</searchLink>. Jan2016 Part 1, Vol. 272, p92-99. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+control+of+machine+tools%22">Numerical control of machine tools</searchLink><br /><searchLink fieldCode="DE" term="%22Machine+tools+--+Automatic+control%22">Machine tools -- Automatic control</searchLink><br /><searchLink fieldCode="DE" term="%22Computer-control+machine+tool+operators%22">Computer-control machine tool operators</searchLink><br /><searchLink fieldCode="DE" term="%22Machinery%22">Machinery</searchLink><br /><searchLink fieldCode="DE" term="%22Cutting+%28Materials%29%22">Cutting (Materials)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider the tool orientation problem of a 5-axis CNC machine that cuts along a curved toolpath on a smooth workpiece surface. While the tool axis is required to maintain a fixed angle against the surface normal to achieve a constant cutting speed, it is allowed to rotate about the surface normal in an arbitrary manner. We control the variation of this azimuthal angle so that the instantaneous speed of the tool axis motion is minimal, which is a judicious choice for the efficient and robust machine performance. The ensuing curve traced by the tool axis turns out to be a generalized tractrix on the unit sphere determined by the curve traced by the surface normal vector, which is characterized by the property that the great circle determined by the corresponding points on the two curves is always tangent to the tractrix. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.amc.2015.07.027 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 92 Subjects: – SubjectFull: Numerical control of machine tools Type: general – SubjectFull: Machine tools -- Automatic control Type: general – SubjectFull: Computer-control machine tool operators Type: general – SubjectFull: Machinery Type: general – SubjectFull: Cutting (Materials) Type: general Titles: – TitleFull: Tractrix-based tool orientation control for 5-axis CNC machining. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Han, Chang Yong IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2016 Part 1 Type: published Y: 2016 Identifiers: – Type: issn-print Value: 00963003 Numbering: – Type: volume Value: 272 Titles: – TitleFull: Applied Mathematics & Computation Type: main |
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