Spiral toolpaths for high-speed machining of 2d pockets with or without islands

TY - GEN

T1 - Spiral toolpaths for high-speed machining of 2d pockets with or without islands

AU - Abrahamsen, Mikkel

PY - 2015

Y1 - 2015

N2 - We describe new methods for the construction of spiral toolpaths 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 d. 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 polygons with no islands than what is obtained by conventional spiral toolpaths. 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 toolpaths 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 d. 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 polygons with no islands than what is obtained by conventional spiral toolpaths. Finally, we show how to make a spiral in a polygon with multiple islands by connecting the islands into one island.

U2 - 10.1115/DETC2015-46255

DO - 10.1115/DETC2015-46255

M3 - Article in proceedings

SN - 978-0-7918-5708-3

VL - 2B

BT - Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2015

PB - American Society of Mechanical Engineers

T2 - The ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference

Y2 - 2 August 2015 through 5 August 2015

ER -