Study on the 2-axis NC machining of a toroid-shaped cutter with a constant angle between the cutting edge and the cutter axis

Lin, Shen-Wang

doi:10.1016/s0924-0136(01)00994-3

Cited by 11 publications

(9 citation statements)

References 2 publications

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“…Lin proposed a geometrical model of the cutting edge on TEMC with a constant angle between the cutting edge and the cutter axis [10] . Hsieh derived a mathematical model of the ideal conical helix edge which formed a constant angle to the longitudinal line at the toroid surface [11] .…”

Section: Introductionmentioning

confidence: 99%

“…10 Chen et al 11 presented a design model of TEMC, where the cutting edge forms an approximately constant angle with the cutter axis. Lin 12 proposed a geometrical model of the cutting edge on TEMC with a constant angle between the cutting edge and the cutter axis. Hsieh and Tsai 13 derived a mathematical model of the ideal conical helix edge which formed a constant angle to the longitudinal line at the toroid surface.…”

Section: Introductionmentioning

confidence: 99%

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Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end-milling cutter

Han

Cheng

Jiang

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end milling cutter AbstractFor a toroid-shaped end milling cutter to have multi-structure features of tooth offset center and introversion of bottom edge, this paper proposes a generalized parametric modeling method of the bottom edge, including a straight edge segment and a circular arc edge segment. And based on the parametric model this paper also deduces the corresponding tool path for grinding of the bottom edge's rake and flank faces. The parametric modeling method is based on the geometric analytic equations while the grinding method is driven by the proposed parametric model and the parameters of rake and flank faces. The two methods can be applied to a bottom edge of a cutter with multi-structure features to guarantee G 1 continuity at the two joints for connecting a circular arc edge with a straight edge and a conical helix edge respectively. In order to verify the accuracy of proposed methods, experiments were carried out. The modeling and grinding experimental results verified the accuracy and utility of the methods.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end-milling cutter

Han

Cheng

Jiang

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Specifically, the direct method [1][2][3][4][5][6] is to model the flute shape generated in the 21/2-and 5-axis CNC grinding, based on the machining parameters of a given wheel. The inverse method [7][8][9][10][11][12][13] is to calculate the curved axial profile of a nonstandard wheel based on the prespecified flute cross section of a cutter, which will be ground with this wheel in the 21/2-axis grinding. Ehmann and DeVries [2] and Kang et al [3,4] proposed a direct method of modeling the flute shape of a twist drill generated with an adopted wheel in the 2'/2-axis grinding.…”

Section: Introductionmentioning

confidence: 99%

“…The principle of these methods is that, at any point of the contact curve between the wheel and the flute, the flute surface normal passes through the wheel axis. The research works [8][9][10][11][12][13][14] applied this principle on making different end-mills. Although the given flute cross sections of the end-mills can be met, the calculated axial profiles of the wheels are complicated in shape.…”

Section: Introductionmentioning

confidence: 99%

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

Silai

Wang²,

Chen

et al. 2013

Journal of Manufacturing Science and Engineering

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Solid carbide cylindrical end-mills are widely used in machining, and their helical flutes are crucial to their cutting peiformance. In industry, the flute is simply defined with four key parameters: the helical angle, the radial rake angle, the fluting angle, and the core radius, which are specified in an end-mill design. The flute shape is not fully defined, while it is ofien generated by a lAl or IV1 diamond wheel in 2^l2-axis computer numerically controlled (CNC) grinding. Unfortunately, the two simple wheels cannot make largely different flute shapes, preventing further improvement of the end-mills. Although no research result on how the flute geometry affects the end-mill cutting attribute has come into public yet, it is now necessary to employ more complicated wheels to grind flutes with the specified parameter values but much different flute shapes. For this purpose, the 4YI diamond wheel is employed in this work. However, the commercial tool grinding software cannot determine the dimensions and the set-up angle for the 4Y1 wheel. To address this problem, a new mathematical model of the flute parameters in terms of the dimensions and the setup angle of the 4Y1 wheel is formulated, thus, the 4Y1 wheel can be used in flute grinding. This work lays a foundation of using complex wheels to grind flutes with more shapes in order to improve the end-mill's cutting ability.

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“…Kang et al (1996), and Yan and Lin (1993) discussed the problems related to the production of revolvingarc milling cutters. Chen et al (2001), Chen (2004), Lin and Lai (2001) and Lin (2001a) discussed some different design and manufacturing approaches for different rotating cutters. By using the method provided by Bedi et al (1997), the minimum circumscribed cylinder may be introduced.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the profile of the taper ball-end milling cutter with a cylindrical shank

Chang

Lin

2008

Journal of Materials Processing Technology

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Study on the 2-axis NC machining of a toroid-shaped cutter with a constant angle between the cutting edge and the cutter axis

Cited by 11 publications

References 2 publications

Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end-milling cutter

Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end-milling cutter

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

Evaluation of the profile of the taper ball-end milling cutter with a cylindrical shank

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