Manufacturing Technology 2020, 20(6):733-747 | DOI: 10.21062/mft.2020.115

A New Optimal Method of Tool Path Generation for Slow Tool Servo Turning of Complex Surface

Hangyan Guo, Min Kang, Wei Zhou, Hengtai Niu, Bingwei Song
College of Engineering, Nanjing Agricultural University, No.40, Dianjiangtai Road, Pukou Distinct, Nanjing 210031. China

In order to improve the surface machining quality of slow tool servo (STS) turning in complex sur-faces, the optimal method of tool path generation (TPG) was studied. Taking into consideration the problem of large discrete errors and interpolation errors in TPG, equal height discretization method and interpolation algorithm for non-uniform nodes were proposd and the acceleration continuous condition was introduced. Simulation results showed that equal height discretization method could reduce the discrete error by more than 70%. The interpolation errors could be reduced to two orders of magnitude by transforming segment cubic Hermite interpolation into segment cubic spline inter-polation. Finally, the processing experiments were performed. The results showed that the form error PV value for the workpiece of the toric surface obtained by equal height discretization method and non-uniformity processing and segment cubic spline interpolation reached 0.002mm. The PV value of the sinusoidal array surface was about 0.009mm, and its surface roughness value was 0.064μm. The results proved this method can effectively reduce the discrete errors and interpolation errors, as well as improve the surface machining quality.

Keywords: Tool path, Equal height discretization, Hermite interpolation, Non-uniformity processing, Spline interpolation

Received: July 18, 2020; Revised: November 26, 2020; Accepted: December 2, 2020; Prepublished online: December 11, 2020; Published: December 23, 2020  Show citation

ACS AIP APA ASA Harvard Chicago IEEE ISO690 MLA NLM Turabian Vancouver
Guo H, Kang M, Zhou W, Niu H, Song B. A New Optimal Method of Tool Path Generation for Slow Tool Servo Turning of Complex Surface. Manufacturing Technology. 2020;20(6):733-747. doi: 10.21062/mft.2020.115.
Download citation

References

  1. NGUYEN VAN TUONG (2019). Advanced CAD/CAM Techniques for 5-Axis Machining of Free-Form Surfaces. In: Manufacturing Technology, Vol. 19, (2), pp. 332-336. DOI: 10.21062/ujep/292.2019/a/1213-2489/MT/19/2/332 Go to original source...
  2. TUONG NGUYEN VAN, NATASA NAPRSTKOVA (2019). Matlab-based Calculation Method for Partitioning a Free-form Surface into Regions. In: Manufacturing Technology, Vol. 19 (3), pp. 518-524. DOI: 10.21062/ujep/322.2019/a/1213-2489/MT/19/3/518 Go to original source...
  3. DAVID DOBROCKŻ (2019). Assessment of Surface Structure of Machined Surfaces. In: Manufacturing Technology, Vol. 19, No. 4, pp. 563-572. Go to original source...
  4. HUANG YUETIAN (2019). Research on Single Point Diamond Turning Technology for Complex Sur-face. Ph.D thesis, Chinese Academy of Sciences University, Beijing, China. ISSN
  5. LIU YUNZHU (2012). Design of Equipment and Tool Path Planning of Aspherical Turning. Ph.D thesis, Nanjing Agricultural University, Nanjing, China. ISSN
  6. TIE GUIPENG (2009). Research on the Key Technology of Slow Tool Servo Machining of Free form Optical Elements. Ph.D thesis, National University of Defense Technology, Changsha, China. ISSN
  7. BAO QIONGQIONG, WANG YU, PAN JU, et al. (2013). Research on Ultra-precision Slow Tool Servo Turning Technology of Free Optical Surface. In: Modern Manufacturing Engineering, Vol. 11, pp. 60-63. China. ISSN
  8. MA FURONG (2018). Free-form Optical Surface Processing in Slowing Tool Turning and Simulation. Ph.D thesis, Lanzhou University of Technology, Lanzhou, China. ISSN
  9. WANG XINGSHENG (2014). Research on the Key Technologies of Slow Tool Servo Turning for Com-plex Optical Surface. Ph.D thesis, Nanjing Agriculture University, Nanjing, China. ISSN
  10. GUAN CHAOLIANG (2010). Study on the Technology of Slow Tool Servo Uitra-precision Diamond Turning for Complex Optical Surface. Ph.D thesis, National University of Defense Technology, Changsha, China. ISSN
  11. GONG H, WANG Y, SONG L, et al. (2015). Spiral Tool Path Generation for Diamond Turning Optical Free-form Surfaces of Quasi-revolution. In: Comput Aided Design, Vol. 59, pp. 15-22. China. ISSN Go to original source...
  12. LIU RS (2014). Study of the Interpolation of the Tool Path in Fast Tool Servo Turning. Master degree the-sis, Harbin Institute of Technology, Harbin, China. ISSN
  13. FANG F Z, ZHANG X D, HU X T (2008). Cylindrical Coordinate Machining of Optical Free-form Sur-faces. In: Opt Express, Vol. 16, pp. 7323-7329. United States. ISSN Go to original source...
  14. TIAN F J, YIN Z Q and LI S Y (2015). Fast Tool Servo Diamond Turning of Optical Free-form Surfaces for Rear-view Mirrors. In: Int J Adv Manuf Tech, Vol. 80, pp. 1759-1765. Springer. Germany. ISSN Go to original source...
  15. HSU W Y, LIU Y L, CHENG Y C, et al. (2012). Design, Fabrication, and Metrology of Ultra-precision Optical Free-form Surface for Progressive Addition Lens With B-spline Description. In: Int J Adv Manuf Tech, Vol. 63, pp. 225-233. Springer. Germany. ISSN Go to original source...
  16. CHEN X, KANG M, WANG X S, et al. (2017). Tool Path Optimal Design for Slow Tool Servo Turning of Complex Optical Surface. In: Proceedings of the Institution of Mechanical Engineers Part B-Journal of Engineering Manufacture, Vol. 231, No. 5, pp. 825-837. England. ISSN Go to original source...
  17. ZHANG X D, FANG F Z, WANG H B, et al. (2009). Ultra-precision Machining of Sinusoidal Surfaces Using the Cylindrical Coordinate Method. In: J Micromech Microeng, Vol. 19, pp. 1050-1055. England. ISSN Go to original source...
  18. HU Y, XU M X, XU X Z, et al. (2014). An Accurate Interpolator for FTS Diamond Turning of Optical Free-form Surface. In: Int J Adv Manuf Tech, Vol. 73, pp. 635-638. Springer. Germany. ISSN Go to original source...
  19. WANG X S, KANG M (2012). Cutting Path Planning for Complex Optical Surface Using Hermite Inter-polation. In: Journal of Mechanical Engineering, Vol. 48, No. 11, pp. 191-198. China. ISSN Go to original source...
  20. CHI W S, TANG S J (2009). Analysis and Application of PVT Mode of PMAC Motion Controller. In: Ma-chinery, Vol. 7, pp. 35-37. China. ISSN
  21. LI Q Y, WANG N C, YI D Y (2008). Numerical Analysis, pp. 22-312. Tsinghua University Publisher, China. ISBN
  22. XU X Y, ZHONG T Y (2006). Construction and Realization of Cubic Spline Interpolation Function. In: Ordnance Industry Automation, Vol. 25, No. 11, pp. 76-78. China. ISSN
  23. WANG X S, KANG M (2012). Toric Spectacle Lens by Using Slow Tool Servo Turning. In: China Mechan-ical Engineering, Vol. 18, No. 23, pp. 2167-2173. China. ISSN
  24. YU H J (2015). Theoretical and Technological Research on Optical Free-form Surface of Single Point Di-amond Ultra-precision Turning. Master degree thesis, Jilin university, Jilin, China. ISSN

This is an open access article distributed under the terms of the Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.