Spiral tool paths for high-speed machining of 2D pockets with or without islands

Research output: Contribution to journalJournal articlepeer-review

Standard

Spiral tool paths for high-speed machining of 2D pockets with or without islands. / Abrahamsen, Mikkel.

In: Journal of Computational Design and Engineering, Vol. 6, No. 1, 01.01.2019, p. 105-117.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Abrahamsen, M 2019, 'Spiral tool paths for high-speed machining of 2D pockets with or without islands', Journal of Computational Design and Engineering, vol. 6, no. 1, pp. 105-117. https://doi.org/10.1016/j.jcde.2018.01.003

APA

Abrahamsen, M. (2019). Spiral tool paths for high-speed machining of 2D pockets with or without islands. Journal of Computational Design and Engineering, 6(1), 105-117. https://doi.org/10.1016/j.jcde.2018.01.003

Vancouver

Abrahamsen M. Spiral tool paths for high-speed machining of 2D pockets with or without islands. Journal of Computational Design and Engineering. 2019 Jan 1;6(1):105-117. https://doi.org/10.1016/j.jcde.2018.01.003

Author

Abrahamsen, Mikkel. / Spiral tool paths for high-speed machining of 2D pockets with or without islands. In: Journal of Computational Design and Engineering. 2019 ; Vol. 6, No. 1. pp. 105-117.

Bibtex

@article{4bdf29d0e503466c8ec6cb679e742318,
title = "Spiral tool paths for high-speed machining of 2D pockets with or without islands",
abstract = "We describe new methods for the construction of spiral tool paths for high-speed machining. In the simplest case, our method takes a polygon as input and a number δ>0 and returns a spiral starting at a central point in the polygon, going around towards the boundary while morphing to the shape of the polygon. The spiral consists of linear segments and circular arcs, it is G1 continuous, it has no self-intersections, and the distance from each point on the spiral to each of the neighboring revolutions is at most δ. Our method has the advantage over previously described methods that it is easily adjustable to the case where there is an island in the polygon to be avoided by the spiral. In that case, the spiral starts at the island and morphs the island to the outer boundary of the polygon. It is shown how to apply that method to make significantly shorter spirals in some polygons with no islands than what is obtained by conventional spiral tool paths. Finally, we show how to make a spiral in a polygon with multiple islands by connecting the islands into one island.",
keywords = "High-speed machining, Medial axis, Smoothing, Spiral-like path",
author = "Mikkel Abrahamsen",
year = "2019",
month = jan,
day = "1",
doi = "10.1016/j.jcde.2018.01.003",
language = "English",
volume = "6",
pages = "105--117",
journal = "Journal of Computational Design and Engineering",
issn = "2288-4300",
publisher = "Society of CAD/CAM Engineers",
number = "1",

}

RIS

TY - JOUR

T1 - Spiral tool paths for high-speed machining of 2D pockets with or without islands

AU - Abrahamsen, Mikkel

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We describe new methods for the construction of spiral tool paths for high-speed machining. In the simplest case, our method takes a polygon as input and a number δ>0 and returns a spiral starting at a central point in the polygon, going around towards the boundary while morphing to the shape of the polygon. The spiral consists of linear segments and circular arcs, it is G1 continuous, it has no self-intersections, and the distance from each point on the spiral to each of the neighboring revolutions is at most δ. Our method has the advantage over previously described methods that it is easily adjustable to the case where there is an island in the polygon to be avoided by the spiral. In that case, the spiral starts at the island and morphs the island to the outer boundary of the polygon. It is shown how to apply that method to make significantly shorter spirals in some polygons with no islands than what is obtained by conventional spiral tool paths. Finally, we show how to make a spiral in a polygon with multiple islands by connecting the islands into one island.

AB - We describe new methods for the construction of spiral tool paths for high-speed machining. In the simplest case, our method takes a polygon as input and a number δ>0 and returns a spiral starting at a central point in the polygon, going around towards the boundary while morphing to the shape of the polygon. The spiral consists of linear segments and circular arcs, it is G1 continuous, it has no self-intersections, and the distance from each point on the spiral to each of the neighboring revolutions is at most δ. Our method has the advantage over previously described methods that it is easily adjustable to the case where there is an island in the polygon to be avoided by the spiral. In that case, the spiral starts at the island and morphs the island to the outer boundary of the polygon. It is shown how to apply that method to make significantly shorter spirals in some polygons with no islands than what is obtained by conventional spiral tool paths. Finally, we show how to make a spiral in a polygon with multiple islands by connecting the islands into one island.

KW - High-speed machining

KW - Medial axis

KW - Smoothing

KW - Spiral-like path

UR - http://www.scopus.com/inward/record.url?scp=85049734808&partnerID=8YFLogxK

U2 - 10.1016/j.jcde.2018.01.003

DO - 10.1016/j.jcde.2018.01.003

M3 - Journal article

AN - SCOPUS:85049734808

VL - 6

SP - 105

EP - 117

JO - Journal of Computational Design and Engineering

JF - Journal of Computational Design and Engineering

SN - 2288-4300

IS - 1

ER -

ID: 203777730