Skip to main content
Log in

Parametric study on influence function in magnetorheological finishing of single crystal silicon

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

Abstract

Magnetorheological finishing (MRF), a precision polishing process, becomes an integral part of optics manufacturing industries for its ability to improve figure and surface finish of complex shape optics without introducing surface damage. It employs magnetically stiffened magnetorheological fluid (MR) ribbon as a flexible polishing tool which moves through the converging gap against workpiece. Material removal characteristic of a polishing tool is described as influence function. Influence function is a parameter to evaluate the efficiency or effectiveness of the polishing process. It provides some useful information for setting up appropriate process parameters to finish different surfaces. Rotational speed of the carrier wheel and gap between the workpiece and magnet are the selected process parameters for studying the influence function. The spot (or influence function) profiles are analyzed to calculate the volume of material removal and depth of the deepest penetration (ddp) using 3D noncontact profilometer. The maximum contribution is made by wheel speed on the volume of material removal and depth of the deepest penetration. To observe the effect of selected parameter setting on the surface topography, final experimentation is performed by employing longitudinal and cross feed and it is perceived that surface generated by cross feed is more uniform.

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. Schinhaerl M, Smith G, Geiss A, Smith L, Rascher R, Sperber P, Pitschke E, Stamp R (2007) Calculation of MRF influence functions, Proc. SPIE 6671, Opt Manuf Test VII, 66710Y; https://doi.org/10.1117/12.730806.

  2. Sidpara A, Jain VK (2012) Nano–level finishing of single crystal silicon blank using magnetorheological finishing process. Tribol Int 47:159–166

    Article  Google Scholar 

  3. Tricard M, Dumas PR, Golini D (2004) New industrial applications of magnetorheological finishing (MRF). Frontiers in optics. OSA techndical digest (CD), Paper OMD1. Optical Society of America; https://doi.org/10.1364/OFT.2004.OMD1.

  4. Huang H, Wang BL, Wang Y, Zou J, Zhou L (2008) Characteristics of silicon substrates fabricated using nanogrinding and chemo-mechanical-grinding. Mater Sci Eng A 479:373–379

    Article  Google Scholar 

  5. Shibata T, Fujii S, Makino E, Ikeda M (1996) Ductile- regime turning mechanism of single crystal silicon. Precis Eng 18(2–3):129–137

    Article  Google Scholar 

  6. Hallock B, Dumas P, Shorey A, Tricard M (2004) Recent advances in deterministic low-cost finishing of sapphire windows. Proceedings of SPIE 5786: 154–64

  7. Shorey AB, Jacobs SD, Kordonski WE, Gans RF (2001) Experiments and observations regarding the mechanisms of glass removal in magnetorheological finishing. Appl Opt 40:20–33

    Article  Google Scholar 

  8. Jacobs SD, Arrasmith SA, Kozhinova IA, Gregg LL, Shorey AB, Ramanofsky HJ, Golini D, Kordonski WI, Hogan S (2000) An Overview of Magnetorheological Finishing (MRF) for Precision Optics Manufacturing (Invited Contribution). Ceram Trans 10:185–200.

  9. Arrasmith SR, Kozhinova IA, Gregg LL, Shorey AB, Romanofsky HJ, Jacobs SD, Golini D, Kordonski WI, Hogan SJ, Dumas P (1999) Details of the polishing spot in magnetorheological finishing (MRF). Proc. SPIE 3782, Opt Manuf Test III, 92–100; https://doi.org/10.1117/12.369175.

  10. Sidpara A, Das M, Jain VK (2009) Rheological characterization of magnetorheological finishing fluid. Mater Manuf Process 24:1467–1478

    Article  Google Scholar 

  11. Sidpara A, Jain VK (2011) Experimental investigations into forces during magnetorheological fluid based finishing process. Int J Mach Tools Manuf 51:358–362

    Article  Google Scholar 

  12. Rosenweig RE (1985) Ferrohydrodynamics. Dover, New York

    Google Scholar 

  13. Sidpara A, Jain VK (2017) Magnetorhelogical finishing. In: Jain VK (ed) Nanofinishing science and technology: Basic and Advanced finishing and polishing process. CRC Press, USA

    Google Scholar 

  14. Schinhaerl M, Geiss A, Rascher R, Sperber P, Stamp R, Smith L, Smith G, Pitschke E (2006) Coherences between influence function size, polishing quality, and process time in magnetorheological finishing. Proc. SPIE 6288, Current Developments in Lens Design and Optical Engineering VII, 62880Q1–9; https://doi.org/10.1117/12.678720.

  15. Pitschke E, Schinhaerl M, Sperber P, Rascher R, Stamp R, Smith M, Smith L (2006) Correlation between influence-function quality and predictability of a computer-controlled polishing process. Opt Eng 45(6):063401

    Article  Google Scholar 

  16. Schinhaerl M, Smith G, Stamp R, Rascher R, Smith L, Pitschke E, Sperber P, Geiss A (2008) Mathematical modelling of influence functions in computer-controlled polishing: part I. Appl Math Model 32(12):2888–2906

    Article  Google Scholar 

  17. Schinhaerl M, Rascher R, Stamp R, Smith G, Smith L, Pitschke E, Sperber P (2007) Filter algorithm for influence functions in the computer controlled polishing of high-quality optical lenses. Int J Mach Tools Manuf 47(1):107–111

  18. Schinhaerl M, Schneider F, Rascher R, Vogt C, Sperber P (2010) Relationship between influence function accuracy and polishing quality in magnetorheological finishing. Proc SPIE 7655, 5th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies, 76550Y

  19. Jacobs SD, Kordonski W, Prokhorov IV, Golini D, Gorodkin GR, Strafford DT (1998) Magnetorheological fluid composition. US Patent 5,804,095

  20. Montgomery DC (2009) Design and analysis of experiments, 7th edn. John Wiley and Sons, Inc

    Google Scholar 

  21. Huang J, Zhang JQ, Liu JN (2005) Effect of magnetic field on properties of MR fluid. Int J Mod Phys B 19:597–601

  22. Sidpara A, Jain VK (2012) Experimental investigations into surface roughness and yield stress in magnetorheological fluid based Nano-finishing process. Int J Precis Eng Manuf 13:855–860

    Article  Google Scholar 

  23. Preston FW (1927) The theory and design of plate glass finishing machines. J Soc Glas Technol 11:214

    Google Scholar 

  24. Sidpara A, Jain VK (2014) Rheological properties and their correlation with surface finish quality in MR fluid-based finishing process. Mach Sci Technol 18:367–385

    Article  Google Scholar 

  25. Sidpara A, Jain VK (2011) Effect of fluid composition on nanofinishing of single-crystal silicon by magnetic field-assisted finishing process. Int J Adv Manuf Technol 55:243–252

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge the funding support from the Indian Institute of Technology Kharagpur under ISIRD grant, Board of Research in Nuclear Sciences (BRNS) under young scientist research award (34/20/10/2015/BRNS).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ajay Sidpara.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ghosh, G., Dalabehera, R.K. & Sidpara, A. Parametric study on influence function in magnetorheological finishing of single crystal silicon. Int J Adv Manuf Technol 100, 1043–1054 (2019). https://doi.org/10.1007/s00170-018-2330-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-2330-1

Keywords

Navigation