Academic Journal
Lamé Curve-based Spiral Tool Path Generation for Rough Milling.
| Τίτλος: | Lamé Curve-based Spiral Tool Path Generation for Rough Milling. |
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| Συγγραφείς: | Tancsa, Viktor, Jacso, Adam, Poka, Gyorgy |
| Πηγή: | Periodica Polytechnica: Mechanical Engineering; 2025, Vol. 69 Issue 3, p259-273, 15p |
| Θεματικοί όροι: | Machining, Algorithms, Constraint satisfaction, Milling-machines, Parametric equations |
| Περίληψη: | Automatic tool path generation for milling has been a subject of research for decades. The primary challenge in this area lies in simultaneously satisfying both geometric and technological constraints. Although various methods have been developed for spiral trajectory generation to meet these strict criteria, the potential of Lamé curves (also known as superellipses) has remained unexplored. This paper aims to address this gap by introducing a new algorithm that parametrises Lamé curves and transforms them into spirals using polar coordinate functions. The novel method generates a continuous tool path that smoothly fills the region between two closed boundaries without interrupting the cutting process. The algorithm was validated through case studies involving various pocket-like and island-like geometries. For the comparative analysis, two widely used strategies were selected as benchmarks: the traditional contourparallel strategy and the advanced adaptive milling strategy. The simulation and cutting experiments conducted to analyse cutter engagement, tool load, and machining time demonstrated that the Lamé-based spiral paths achieved 1-44% improvements in machining time and 3-17% reductions in peak cutting force. These improvements are attributed to the smooth path curvature and the stable cutter engagement along the path, which enables effective tool load control. Although the strategy has certain geometric limitations, the results indicate that Lamé-based spirals offer a promising alternative for improving productivity and tool life in rough milling. [ABSTRACT FROM AUTHOR] |
| Copyright of Periodica Polytechnica: Mechanical Engineering is the property of Periodica Polytechnica 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.) | |
| Βάση Δεδομένων: | Complementary Index |
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| Items | – Name: Title Label: Title Group: Ti Data: Lamé Curve-based Spiral Tool Path Generation for Rough Milling. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tancsa%2C+Viktor%22">Tancsa, Viktor</searchLink><br /><searchLink fieldCode="AR" term="%22Jacso%2C+Adam%22">Jacso, Adam</searchLink><br /><searchLink fieldCode="AR" term="%22Poka%2C+Gyorgy%22">Poka, Gyorgy</searchLink> – Name: TitleSource Label: Source Group: Src Data: Periodica Polytechnica: Mechanical Engineering; 2025, Vol. 69 Issue 3, p259-273, 15p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Machining%22">Machining</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Constraint+satisfaction%22">Constraint satisfaction</searchLink><br /><searchLink fieldCode="DE" term="%22Milling-machines%22">Milling-machines</searchLink><br /><searchLink fieldCode="DE" term="%22Parametric+equations%22">Parametric equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Automatic tool path generation for milling has been a subject of research for decades. The primary challenge in this area lies in simultaneously satisfying both geometric and technological constraints. Although various methods have been developed for spiral trajectory generation to meet these strict criteria, the potential of Lamé curves (also known as superellipses) has remained unexplored. This paper aims to address this gap by introducing a new algorithm that parametrises Lamé curves and transforms them into spirals using polar coordinate functions. The novel method generates a continuous tool path that smoothly fills the region between two closed boundaries without interrupting the cutting process. The algorithm was validated through case studies involving various pocket-like and island-like geometries. For the comparative analysis, two widely used strategies were selected as benchmarks: the traditional contourparallel strategy and the advanced adaptive milling strategy. The simulation and cutting experiments conducted to analyse cutter engagement, tool load, and machining time demonstrated that the Lamé-based spiral paths achieved 1-44% improvements in machining time and 3-17% reductions in peak cutting force. These improvements are attributed to the smooth path curvature and the stable cutter engagement along the path, which enables effective tool load control. Although the strategy has certain geometric limitations, the results indicate that Lamé-based spirals offer a promising alternative for improving productivity and tool life in rough milling. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Periodica Polytechnica: Mechanical Engineering is the property of Periodica Polytechnica 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: 10.3311/PPme.41247 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 259 Subjects: – SubjectFull: Machining Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Constraint satisfaction Type: general – SubjectFull: Milling-machines Type: general – SubjectFull: Parametric equations Type: general Titles: – TitleFull: Lamé Curve-based Spiral Tool Path Generation for Rough Milling. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tancsa, Viktor – PersonEntity: Name: NameFull: Jacso, Adam – PersonEntity: Name: NameFull: Poka, Gyorgy IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 03246051 Numbering: – Type: volume Value: 69 – Type: issue Value: 3 Titles: – TitleFull: Periodica Polytechnica: Mechanical Engineering Type: main |
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