MATHSM: medial axis transform toward high speed machining of pockets

Elber, Gershon; Cohen, Elaine; Drake, Sam

doi:10.1016/j.cad.2004.05.008

Cited by 55 publications

(31 citation statements)

References 14 publications

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“…Additionally, although the residual area is not big enough, the entry space for tool is not considered in their method. In references [4] and [25], trochoidal tool path (the continuous arcs) based on a MAT is adopted to machine elongated narrow regions and sharp corners. Trochoidal tool path is also a promising approach for high-speed machining of pockets due to its good continuity, high feed rate, and being smooth [25,26].…”

Section: Residual Area Identificationmentioning

confidence: 99%

Identification and looping tool path generation for removing residual areas left by pocket roughing

Zhou

Zheng

Chen

2016

Int J Adv Manuf Technol

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For pocket with complex geometry shape, lots of residuals will be left after pocket roughing. These uncut regions always are around sharp corners, bottlenecks, and sidewalls with small areas and soft edges. Additionally, as most of the stock material has been removed, the thin wall between two adjacent pockets tends to deform when machining the residuals. Thus, certain technological requirements such as starting from the soft edge, retaining down-milling, and keeping constant feed rate are needed to machine the unmachined materials. However, little research has been carried out on this problem. In this paper, to remove the various uncut areas left by the pocket roughing, residual regions are identified first by the rolling disk motion method. Then, looping tool paths are designed and computed for corner, bottleneck, and sidewall residuals respectively. The proposed tool path satisfies downmilling, G1 continuous, and progressive radial depth of cut with consideration of the soft edge. Finally, an example is rendered to validate that the advised algorithm can identify the remained areas correctly, and the generated tool path meets the special requirements of clean-up regions machining.

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Section: Residual Area Identificationmentioning

confidence: 99%

Identification and looping tool path generation for removing residual areas left by pocket roughing

Zhou

Zheng

Chen

2016

Int J Adv Manuf Technol

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“…Existing practical methods, e.g. in [14,10], are confined to polygonal inputs; curved objects, if accepted, are converted to polygonal ones, blowing up the data volume in a non-linear manner. 1 1 We recently learned that the VRONI Voronoi code [14] for points and line segments has been extended to include circular arcs as sites [15].…”

Section: Introductionmentioning

confidence: 99%

Divide-and-conquer for Voronoi diagrams revisited

Aichholzer

Aigner

Aurenhammer

et al. 2009

Proceedings of the Twenty-Fifth Annual Symposium on Computational Geometry

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We show how to divide the edge graph of a Voronoi diagram into a tree that corresponds to the medial axis of an (augmented) planar domain. Division into base cases is then possible, which, in the bottom-up phase, can be merged by trivial concatenation. The resulting construction algorithm-similar to Delaunay triangulation methods-is not bisector-based and merely computes dual links between the sites, its atomic steps being inclusion tests for sites in circles. This guarantees computational simplicity and numerical stability. Moreover, no part of the Voronoi diagram, once constructed, has to be discarded again. The algorithm works for polygonal and curved objects as sites and, in particular, for circular arcs which allows its extension to general free-form objects by Voronoi diagram preserving and data saving biarc approximations. The algorithm is randomized, with expected runtime O(n log n) under certain assumptions on the input data. Experiments substantiate an efficient behavior even when these assumptions are not met. Applications to offset computations and motion planning for general objects are described.

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“…This procedure automatically generated toolpaths that are especially suited for narrow and elongated pocket regions that are difficult to machine even using traditional toolpath generation schemes. Further, the constructed toolpath is guaranteed to be C 1 continuous, maximizing the benefits that can be drawn from the high speed machining schemes In [8], a scheme to support toolpaths formed out of arcs of as-large-as-possible circular arc was presented over flat bottom pockets. This work extends [8] to support arbitrary C 1 continuous freeform surface pockets.…”

Section: Introductionmentioning

confidence: 99%

C¹Continuous Toolpath Generation Toward 5-axis High Speed Machining

Elber

Cohen

Drake

2006

Computer-Aided Design and Applications

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We present a scheme to construct C 1 continuous toolpath for 5-axis pocketing of high speed machining. A continuous toolpath synthesis is proposed, that forms out circular segments of maximally inscribed sizes and linear segments connecting these circular segments. Extending earlier work that employed the Medial Axis Transform to compute these maximally inscribed circles for 2D planar pockets, this work examines general pockets in ℜ 3 represented as NURBS surfaces, and in 5-axis machining setup. Results are demonstrated by employing t he proposed scheme toward the machining of impellers. Possible extensions toward a C 2 continuous toolpath is discussed as well.

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MATHSM: medial axis transform toward high speed machining of pockets

Cited by 55 publications

References 14 publications

Identification and looping tool path generation for removing residual areas left by pocket roughing

Identification and looping tool path generation for removing residual areas left by pocket roughing

Divide-and-conquer for Voronoi diagrams revisited

C¹Continuous Toolpath Generation Toward 5-axis High Speed Machining

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MATHSM: medial axis transform toward high speed machining of pockets

Cited by 55 publications

References 14 publications

Identification and looping tool path generation for removing residual areas left by pocket roughing

Identification and looping tool path generation for removing residual areas left by pocket roughing

Divide-and-conquer for Voronoi diagrams revisited

C1Continuous Toolpath Generation Toward 5-axis High Speed Machining

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Product

Resources

About

C¹Continuous Toolpath Generation Toward 5-axis High Speed Machining