Process planning for Floor machining of 2½D pockets based on a morphed spiral tool path pattern

Banerjee, Avisekh; Feng, Hsi-Yung; Bordatchev, Evgueni V.

doi:10.1016/j.cie.2012.06.008

Cited by 26 publications

(16 citation statements)

References 16 publications

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“…, r are corners of wavefront i − 1. Therefore, all parents are on the wavefront one step closer to the root n. In both IT n and PT n , we introduce fake wavefront corners at node n stored in the arrays IslWf[n][0] and BndWf[n][0], respectively, which are the parents of the corners in the arrays IslWf[n] [1] and BndWf[n] [1]. Thus, these fake corners are not corners on wavefront i for any i = 0, .…”

Section: Creating Wavefrontsmentioning

confidence: 99%

“…If i > r n + 1, we interpolate between BndWf[n][j − 1] and BndWf[n][j], where j = i − r n , using the values stored in WfLng[i]. A special case occurs when i = r n + 1, i.e., when we are interpolating between the first wavefront on each side of the root node n. In that case, let [1]. Otherwise, we interpolate on the other side of C, that is, between BndWf[n][0] and BndWf[n] [1].…”

Section: Interpolating Between Wavefrontsmentioning

confidence: 99%

“…For [1] to make parent dependencies across C. We want all the parent pointers to be towards the island I. Therefore, we reverse all the pointers between pairs of corners in each tree IT n .…”

Section: Interpolating Between Wavefrontsmentioning

confidence: 99%

“…Some work has been made on spiral toolpaths that morphs a point within the pocket to the boundary of the pocket [2,3,10,1,11,12]. The method described by Held and Spielberger [10] yields a toolpath that (i) starts at a user-specified point within the pocket, (ii) ends when the boundary is reached, (iii) makes the cutter remove all material in the pocket, (iv) has no self-intersections, (v) is G 1 continuous 2 , (vi) makes the width of material cut away at most δ at any time, where δ is a user-defined constant called the stepover.…”

Section: Introductionmentioning

confidence: 99%

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Spiral Toolpaths for High-Speed Machining of 2D Pockets With or Without Islands

Abrahamsen

2015

Volume 2B: 41st Design Automation Conference

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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 G 1 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 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.

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Section: Creating Wavefrontsmentioning

confidence: 99%

Section: Interpolating Between Wavefrontsmentioning

confidence: 99%

Section: Interpolating Between Wavefrontsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Spiral Toolpaths for High-Speed Machining of 2D Pockets With or Without Islands

Abrahamsen

2015

Volume 2B: 41st Design Automation Conference

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show abstract

“…The pocket might be an arbitrary simply-connected 2D and was not considered machining parameters, so it was not available for actual machining. Bieterman [16] and Banerjee [17] aimed at solving the boundary value problem with MATLAB TM PDE Toolbox and obtaining a series of contours, respectively. However, the spiral tool-path generation method based on solving ellipse PDEs has difficulty in controlling the distance between two adjacent contours.…”

Section: Related Workmentioning

confidence: 99%