Skip to main content
Log in

Form error compensation in single-point inclined axis nanogrinding for small aspheric insert

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Based on an examination of traditional arc-enveloped grinding method, a single-point inclined axis nanogrinding method is presented to grind an aspheric insert by compensating tool setting error, radius error, and residual form error. Profile data from on-machine measurement are used to obtain the tool setting error and radius error of grinding wheel, as well as the normal residual form error. Compensation method of single-point inclined axis nanogrinding is built up for generating new compensation path. Grinding test of aspheric tungsten carbide insert with diameter 9.5 mm is conducted to evaluate performances of the grinding mode and compensation method. A last form error of 200 nm in peak to valley and surface roughness of 2.243 nm in Ra are achieved. These results indicated that the form error compensation method and single-point inclined axis nanogrinding mode can significantly improve form accuracy and surface roughness of ground surface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ohmori H (1992) Electrolytic in-process dressing (ELID) grinding technique for ultraprecision mirror surface machining. I J JSPE 26(4):273–278

    Google Scholar 

  2. Lin Y, Huang H (2008) Brittle materials in nano-abrasive fabrication of optical mirror-surfaces. Prec Eng 32:336–341

    Article  MathSciNet  Google Scholar 

  3. Chen FJ, Hu SJ, Yin SH (2012) A novel mathematical model for grinding ball end milling cutter with equal rake and clearance angle. Int J Adv Manuf Technol. doi:10.1007/s00170-011-3889-y

  4. Yin SH, Morita S, Ohmori H, Uehara Y, Lin WM, Liu Q, Maihara T, Iwamuro F, Mochida D (2005) ELID precision grinding of large special Schmidt plate for fibre multi-object spectrograph for 8.2 m Subaru telescope. Int J Mach Tools Manuf 45:1598–1604

    Article  Google Scholar 

  5. Ohmori H, Nakagawa T (1995) Analysis of mirror surface generation of hard and brittle materials by ELID (Electronic In-Process Dressing) grinding with superfine grain metallic bond wheels. CIRP Ann Manuf Technol 44(1):287–290

    Article  Google Scholar 

  6. Chen WK, Kuriyagawa T, Huang H, Yosihara N (2005) Machining of micro aspherical mould inserts. Prec Eng 29:315–323

    Article  Google Scholar 

  7. Yin SH, Ohmori H, Dai YT, Uehara Y, Chen FJ, Tang HN (2009) ELID grinding characteristics of glass–ceramic materials. Int J Mach Tools Manuf 49(3–4):333–338

    Article  Google Scholar 

  8. Schmitz TL, Ziegert JC, Canning JS, Raul Z (2008) Case study: a comparison of error sources in high-speed milling. Prec Eng 32(2):126–133

    Article  Google Scholar 

  9. Nojedeh MV, Habibi M, Arezoo B (2011) Tool path accuracy enhancement through geometrical error compensation. Int J Mach Tools Manuf 51(6):471–482

    Article  Google Scholar 

  10. Liang JC, Li HF, Yuan JX, Ni J (1997) A comprehensive error compensation system for correcting geometric, thermal, and cutting force-induced errors. Int J Adv Manuf Technol 13(10):708–712

    Article  Google Scholar 

  11. Lei WT, Sung MP (2008) NURBS-based fast geometric error compensation for CNC machine tools. Int J Mach Tools Manuf 48(3–4):307–319

    Article  Google Scholar 

  12. Uddin MS, Ibaraki S, Matsubara A, Matsushita T (2009) Prediction and compensation of machining geometric errors of five-axis machining centers with kinematic errors. Prec Eng 33(2):194–201

    Article  Google Scholar 

  13. Khan AW, Chen WY (2011) A methodology for systematic geometric error compensation in five-axis machine tools. Int J Adv Manuf Technol 53(5–8):615–628

    Article  Google Scholar 

  14. Wu H, Zhang HT, Guo QJ, Wang XS, Yang JG (2008) Thermal error optimization modeling and real-time compensation on a CNC turning center. J Mater Process Technol 207(1–3):172–179

    Google Scholar 

  15. Creighton E, Honegger A, Tulsian A, Mukhopadhyay D (2010) Analysis of thermal errors in a high-speed micro-milling spindle. Int J Mach Tools Manuf 50(4):386–393

    Article  Google Scholar 

  16. Zhang YH, Wu Q, Hu DJ (2008) Research on wear detection of wheel in precision NC curve point grinding. Int J Adv Manuf Technol 35(9–10):994–999

    Article  Google Scholar 

  17. Rahman MS, Saleh T, Lim HS, Son SM, Rahman M (2008) Development of an on-machine profile measurement system in ELID grinding for machining aspheric surface with software compensation. Int J Mach Tools Manuf 48(7–8):887–895

    Article  Google Scholar 

  18. Suzuki H, Tanaka K, Takeda H, Kawakami K, Nishioka M (1999) Study on precision grinding of micro aspherical surface: effects of tool errors on workpiece form accuracies and its compensation methods. J Japan Soc Prec Eng 65:401–405

    Article  Google Scholar 

  19. Lee WB, Cheung CF, Chiu WM, Leung TP (2000) An investigation of residual form error compensation in the ultra-precision machining of aspheric surfaces. J Mater Process Technol 99:129–134

    Article  Google Scholar 

  20. Habibi M, Arezoo B, Nojedeh MV (2011) Tool deflection and geometrical error compensation by tool path modification. Int J Mach Tools Manuf 51(6):439–449

    Article  Google Scholar 

  21. Huang H, Chen WK, Kuriyagawa T (2007) Profile error compensation approaches for parallel nanogrinding of aspheric mould inserts. Int J Mach Tools Manuf 47(15):2237–2245

    Article  Google Scholar 

  22. Chen FJ, Yin SH, Huang H, Ohmori H, Wang Y, Fan YF, Zhu YJ (2010) Profile error compensation in ultra-precision grinding of aspheric surfaces with on-machine measurement. Int J Mach Tools Manuf 50(5):480–486

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shaohui Yin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, F., Yin, S., Ohmori, H. et al. Form error compensation in single-point inclined axis nanogrinding for small aspheric insert. Int J Adv Manuf Technol 65, 433–441 (2013). https://doi.org/10.1007/s00170-012-4182-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-012-4182-4

Keywords

Navigation