A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining

Gyong Wal Jang; Nam Chol Yu; Hyon Chol Hwang; Guan Sik Jang; Tae Jin Bang

doi:doi:10.11648/j.ijimse.20210601.12

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A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining

Gyong Wal Jang, Nam Chol Yu, Hyon Chol Hwang, Guan Sik Jang, Tae Jin Bang

Published in International Journal of Industrial and Manufacturing Systems Engineering (Volume 6, Issue 1)

Received: 25 December 2020 Accepted: 18 January 2021 Published: 8 May 2021

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Abstract

This paper proposes a method for calculating the tilt angle of the tool and the machining strip width when the tool is inclined to the feed direction. Tilt angle of the tool and machining strip width are important factors which affect feed rate and machining quality in five-axis flat-end milling for free surface. There are some methods to calculate the tilt angle of the tool in five-axis flat-end milling for free surface, but mathematically complicated algorithm is applied to the calculation of tilt angle of the tool, so it is difficult to apply it in practice. We considered the geometry of the surface and the tool as well as the scallop height to determine the tool tilt angle, thus ensuring the tool to be contacted with the surface at two points. This allows us to calculate the tool tilt angle and the machining strip width by solving quadric equations based on the contact circle. Moreover, tool tilt angle and machining strip width are calculated analytically. Thus the speed of calculation is quick and easy to implement. An experiment of machining on the biquantic B-spline surface was performed and the results show that the proposed method has considerably higher machining efficiency than the CMM.

Published in	International Journal of Industrial and Manufacturing Systems Engineering (Volume 6, Issue 1)
DOI	10.11648/j.ijimse.20210601.12
Page(s)	1-9
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Flat-end Cutter, Tilt Angle, Machining Strip Width, Scallop Height

References

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APA Style

Gyong Wal Jang, Nam Chol Yu, Hyon Chol Hwang, Guan Sik Jang, Tae Jin Bang. (2021). A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. International Journal of Industrial and Manufacturing Systems Engineering, 6(1), 1-9. https://doi.org/10.11648/j.ijimse.20210601.12

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ACS Style

Gyong Wal Jang; Nam Chol Yu; Hyon Chol Hwang; Guan Sik Jang; Tae Jin Bang. A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. Int. J. Ind. Manuf. Syst. Eng. 2021, 6(1), 1-9. doi: 10.11648/j.ijimse.20210601.12

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AMA Style

Gyong Wal Jang, Nam Chol Yu, Hyon Chol Hwang, Guan Sik Jang, Tae Jin Bang. A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. Int J Ind Manuf Syst Eng. 2021;6(1):1-9. doi: 10.11648/j.ijimse.20210601.12

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@article{10.11648/j.ijimse.20210601.12,
  author = {Gyong Wal Jang and Nam Chol Yu and Hyon Chol Hwang and Guan Sik Jang and Tae Jin Bang},
  title = {A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining},
  journal = {International Journal of Industrial and Manufacturing Systems Engineering},
  volume = {6},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ijimse.20210601.12},
  url = {https://doi.org/10.11648/j.ijimse.20210601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijimse.20210601.12},
  abstract = {This paper proposes a method for calculating the tilt angle of the tool and the machining strip width when the tool is inclined to the feed direction. Tilt angle of the tool and machining strip width are important factors which affect feed rate and machining quality in five-axis flat-end milling for free surface. There are some methods to calculate the tilt angle of the tool in five-axis flat-end milling for free surface, but mathematically complicated algorithm is applied to the calculation of tilt angle of the tool, so it is difficult to apply it in practice. We considered the geometry of the surface and the tool as well as the scallop height to determine the tool tilt angle, thus ensuring the tool to be contacted with the surface at two points. This allows us to calculate the tool tilt angle and the machining strip width by solving quadric equations based on the contact circle. Moreover, tool tilt angle and machining strip width are calculated analytically. Thus the speed of calculation is quick and easy to implement. An experiment of machining on the biquantic B-spline surface was performed and the results show that the proposed method has considerably higher machining efficiency than the CMM.},
 year = {2021}
}

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TY  - JOUR
T1  - A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining
AU  - Gyong Wal Jang
AU  - Nam Chol Yu
AU  - Hyon Chol Hwang
AU  - Guan Sik Jang
AU  - Tae Jin Bang
Y1  - 2021/05/08
PY  - 2021
N1  - https://doi.org/10.11648/j.ijimse.20210601.12
DO  - 10.11648/j.ijimse.20210601.12
T2  - International Journal of Industrial and Manufacturing Systems Engineering
JF  - International Journal of Industrial and Manufacturing Systems Engineering
JO  - International Journal of Industrial and Manufacturing Systems Engineering
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2575-3142
UR  - https://doi.org/10.11648/j.ijimse.20210601.12
AB  - This paper proposes a method for calculating the tilt angle of the tool and the machining strip width when the tool is inclined to the feed direction. Tilt angle of the tool and machining strip width are important factors which affect feed rate and machining quality in five-axis flat-end milling for free surface. There are some methods to calculate the tilt angle of the tool in five-axis flat-end milling for free surface, but mathematically complicated algorithm is applied to the calculation of tilt angle of the tool, so it is difficult to apply it in practice. We considered the geometry of the surface and the tool as well as the scallop height to determine the tool tilt angle, thus ensuring the tool to be contacted with the surface at two points. This allows us to calculate the tool tilt angle and the machining strip width by solving quadric equations based on the contact circle. Moreover, tool tilt angle and machining strip width are calculated analytically. Thus the speed of calculation is quick and easy to implement. An experiment of machining on the biquantic B-spline surface was performed and the results show that the proposed method has considerably higher machining efficiency than the CMM.
VL  - 6
IS  - 1
ER  -

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Author Information

Gyong Wal Jang

Robotics Institute, Kim Chaek University of Technology, Pyongyang, DPR Korea
Nam Chol Yu

School of Science and Engineering, Kim Chaek University of Technology, Pyongyang, DPR Korea
Hyon Chol Hwang

Control Machine Institute, Academy of State Science, Pyongyang, DPR Korea
Guan Sik Jang

Faculty of Mechanical Science and Technology, Kim Chaek University of Technology, Pyongyang, DPR Korea
Tae Jin Bang

Robotics Institute, Kim Chaek University of Technology, Pyongyang, DPR Korea

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APA Style

Gyong Wal Jang, Nam Chol Yu, Hyon Chol Hwang, Guan Sik Jang, Tae Jin Bang. (2021). A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. International Journal of Industrial and Manufacturing Systems Engineering, 6(1), 1-9. https://doi.org/10.11648/j.ijimse.20210601.12

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ACS Style

Gyong Wal Jang; Nam Chol Yu; Hyon Chol Hwang; Guan Sik Jang; Tae Jin Bang. A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. Int. J. Ind. Manuf. Syst. Eng. 2021, 6(1), 1-9. doi: 10.11648/j.ijimse.20210601.12

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AMA Style

Gyong Wal Jang, Nam Chol Yu, Hyon Chol Hwang, Guan Sik Jang, Tae Jin Bang. A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining. Int J Ind Manuf Syst Eng. 2021;6(1):1-9. doi: 10.11648/j.ijimse.20210601.12

Copy | Download

@article{10.11648/j.ijimse.20210601.12,
  author = {Gyong Wal Jang and Nam Chol Yu and Hyon Chol Hwang and Guan Sik Jang and Tae Jin Bang},
  title = {A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining},
  journal = {International Journal of Industrial and Manufacturing Systems Engineering},
  volume = {6},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ijimse.20210601.12},
  url = {https://doi.org/10.11648/j.ijimse.20210601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijimse.20210601.12},
  abstract = {This paper proposes a method for calculating the tilt angle of the tool and the machining strip width when the tool is inclined to the feed direction. Tilt angle of the tool and machining strip width are important factors which affect feed rate and machining quality in five-axis flat-end milling for free surface. There are some methods to calculate the tilt angle of the tool in five-axis flat-end milling for free surface, but mathematically complicated algorithm is applied to the calculation of tilt angle of the tool, so it is difficult to apply it in practice. We considered the geometry of the surface and the tool as well as the scallop height to determine the tool tilt angle, thus ensuring the tool to be contacted with the surface at two points. This allows us to calculate the tool tilt angle and the machining strip width by solving quadric equations based on the contact circle. Moreover, tool tilt angle and machining strip width are calculated analytically. Thus the speed of calculation is quick and easy to implement. An experiment of machining on the biquantic B-spline surface was performed and the results show that the proposed method has considerably higher machining efficiency than the CMM.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - A Tool Tilt Angle Calculation Method in 5-axis Flat-end Milling for Free Surface Machining
AU  - Gyong Wal Jang
AU  - Nam Chol Yu
AU  - Hyon Chol Hwang
AU  - Guan Sik Jang
AU  - Tae Jin Bang
Y1  - 2021/05/08
PY  - 2021
N1  - https://doi.org/10.11648/j.ijimse.20210601.12
DO  - 10.11648/j.ijimse.20210601.12
T2  - International Journal of Industrial and Manufacturing Systems Engineering
JF  - International Journal of Industrial and Manufacturing Systems Engineering
JO  - International Journal of Industrial and Manufacturing Systems Engineering
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2575-3142
UR  - https://doi.org/10.11648/j.ijimse.20210601.12
AB  - This paper proposes a method for calculating the tilt angle of the tool and the machining strip width when the tool is inclined to the feed direction. Tilt angle of the tool and machining strip width are important factors which affect feed rate and machining quality in five-axis flat-end milling for free surface. There are some methods to calculate the tilt angle of the tool in five-axis flat-end milling for free surface, but mathematically complicated algorithm is applied to the calculation of tilt angle of the tool, so it is difficult to apply it in practice. We considered the geometry of the surface and the tool as well as the scallop height to determine the tool tilt angle, thus ensuring the tool to be contacted with the surface at two points. This allows us to calculate the tool tilt angle and the machining strip width by solving quadric equations based on the contact circle. Moreover, tool tilt angle and machining strip width are calculated analytically. Thus the speed of calculation is quick and easy to implement. An experiment of machining on the biquantic B-spline surface was performed and the results show that the proposed method has considerably higher machining efficiency than the CMM.
VL  - 6
IS  - 1
ER  -

Copy | Download