Abstract
A novel magnetorheological finishing (MRF) method, which is named Lap-MRF, is proposed in this paper. The magnetorheological fluid (MR fluid) in the polishing zones can be renewed continuously so that the determinacy is ensured. A lap, instead of a large polishing wheel, is used to expand the polishing area, which improves the material removal rate largely. Lap-MRF uses flexible MR fluid as polishing pad to match the surface well. Moreover, the polishing pad executes planetary motion so as to obtain smooth surface. In this paper, the principle of Lap-MRF and the theoretical model of material removal rate are presented. Using the finite element analysis method, the permanent magnet unit is simulated and a multi-parameter optimization is conducted to improve the performance of Lap-MRF. Finally, a series of polishing experiments and simulation process are carried out. For K9 sample, the volume removal rate is up to 0.76 mm3/min and its relative change rate is less than 5.5%. For silicon modification layer sample, the surface roughness is improved to 0.788 nm RMS (root mean square) from 1.610 nm RMS. There is no deep pit and the polishing ripple is not apparent on the surface. For Φ1000 mm flat mirror, the convergence efficiency of simulation process is up to 97.2%. These results verify the validity of the proposed method, which makes Lap-MRF to be a promising finishing technology for large aperture mirrors.
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Geyl R (2005) From VLT to GTC and the ELTs. Proc SPIE 5965:59650P. https://doi.org/10.1117/12.627677
Martin HM, Burge JH, Cuerden B, Davison WB, Kingsley JS (2008) Progress in manufacturing the first 8.4 m off-axis segment for the Giant Magellan Telescope. Proc SPIE 7018:70180C. https://doi.org/10.1117/12.789805
Allen LN, Hannon JJ, Wambach RW (1992) Final surface error correction of an off-axis aspheric petal by ion figuring. Proc SPIE 1543:190–200. https://doi.org/10.1117/12.51181
Wan YJ, Shi CY, Yuan JH, Wu F (2011) Control method of polishing errors by dwell time compensation. High Power Laser and Particle Beams 23(1):97–100, in Chinese. https://doi.org/10.3788/HPLPB20112301.0097
Song C, Walker D, Yu G (2011) Misfit of rigid tools and interferometer subapertures on off-axis aspheric mirror segments. Opt Eng 50(7):073401. https://doi.org/10.1117/1.3597328
Kordonski WI, Golini D (1999) Fundamentals of magnetorheological fluid utilization in high precision finishing. J Intell Mater Syst Struct 10(9):683–689. https://doi.org/10.1106/011M-CJ25-64QC-F3A6
Jacobs SD, Kordonski WI, Prokhorov IV, Golini D, Gorodkin GR, Strafford TD(1998) Deterministic magnetorheological finishing. U.S. Patent No. 5795212
Golini D, Schneider G, Flug P, Demarco M (2001) The ultimate flexible optics manufacturing technology: magnetorheological finishing. Opt Photon News 12(10):20–24. https://doi.org/10.1364/OPN.12.10.000020
DeGroote JE (2007) Surface interactions between nanodiamonds and glass in magnetorheological finishing (MRF). Doctor Degree Dissertation, University of Rochester
Ren K, Luo X, Zheng LG, Bai Y, Li LX, HX H, Zhang XJ (2014) Belt-MRF for large aperture mirrors. Opt Express 22(16):19262–19276. https://doi.org/10.1364/OE.22.019262
Pan JS, Yan QS, Lu JB, Xu XP, Chen SK (2014) Cluster magnetorheological effect plane polishing technology. J Mech Eng 50(01):205–212, in Chinese. https://doi.org/10.3901/JME.2014.01.205
Pan JS, Yan QS (2015) Material removal mechanism of cluster magnetorheological effect in plane polishing. Int J Adv Manuf Technol 81(9-12):2017–2026. https://doi.org/10.1007/s00170-015-7332-7
Guo ZD, Du SJ, Liu WG, Hang LX, Wang W (2007) The application of annulus magnetic field in magnetorheological finishing. J Xi’an Technol Univ 27(3):212–214, in Chinese. https://doi.org/10.3969/j.issn.1673-9965.2007.03.003
Singh AK, Jha S, Pandey PM (2013) Mechanism of material removal in ball end magnetorheological finishing process. Wear 302(1-2):1180–1191. https://doi.org/10.1016/j.wear.2012.11.082
Jha S, Jain VK, Komanduri R (2007) Effect of extrusion pressure and number of finishing cycles on surface roughness in magnetorheological abrasive flow finishing (MRAFF) process. Int J Adv Manuf Technol 33(7):725–729. https://doi.org/10.1007/s00170-006-0502-x
Das M, Jain VK, Ghoshdastidar PS (2008) Fluid flow analysis of mgnetorheological abrasive flow finishing (MRAFF) process. Int J Adv Manuf Technol 38(5):613–621. https://doi.org/10.1016/j.ijmachtools.2007.09.004
Guo HR, YB W, Lu D, Fujimoto M, Nomura M (2014) Effects of pressure and shear stress on material removal rate in ultra-fine polishing of optical glass with magnetic compound fluid slurry. J Mater Process Technol 214(11):2759–2769. https://doi.org/10.1016/j.jmatprotec.2014.06.014
Preston F (1927) The theory and design of plate glass polishing machines. J Soc Glas Technol 9(2):14–256
Nam HS, Kim GC, Kim HS, Rhee HG, Ghim YS (2016) Modeling of edge tool influence functions for computer controlled. Int J Adv Manuf Technol 83(5-8):911–917. https://doi.org/10.1007/s00170-015-7633-x
Guo CY, Gong XL, Xuan SH, Qin LJ, Yan QF (2013) Compression behaviors of magnetorheological fluids under nonuniform magnetic field. Rheol Acta 52(2):165–176. https://doi.org/10.1007/s00397-013-0678-6
Karpat Y, Özel T (2007) Multi-objective optimization for turning processes using neural network modeling and dynamic-neighborhood particle swarm optimization. Int J Adv Manuf Technol 35(3-4):234–247. https://doi.org/10.1007/s00170-006-0719-8
Liu SH (2015) Multi-objective optimization design method for the machine tool’s structural parts based on computer-aided engineering. Int J Adv Manuf Technol 78(5-8):1053–1065. https://doi.org/10.1007/s00170-014-6700-z
Wei Z, Feng YX, Tan JR, Wang JL, Li ZK (2009) Multi-objective performance optimal design of large-scale injection molding machine. Int J Adv Manuf Technol 41(3-4):242–249. https://doi.org/10.1007/s00170-008-1467-8
Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidiscip Optim 26(6):369–395. https://doi.org/10.1007/s00158-003-0368-6
Derringer G, Suich R (1980) Simultaneous optimization of several response variables. J Qual Technol 12:214–219
Zhang FD, Zhang XJ, Y JC (2000) Mathematics model of magnetorheological finishing. Proc SPIE 4231:490–497. https://doi.org/10.1117/12.402796
Kim DW, Burge JH (2010) Rigid conformal polishing tool using non-linear visco-elastic effect. Opt Express 18(3):2242–2257. https://doi.org/10.1364/OE.18.002242
Dong ZC, Cheng HB (2014) Study on removal mechanism and removal characters for SiC and fused silica by fixed abrasive diamond pellets. Int J Mach Tool Manu 85:1–13. https://doi.org/10.1016/j.ijmachtools.2014.04.008
Nie XQ (2014) Study on the smoothing polishing mechanism and process of mid-spatial frequency error for high accuracy optics. Doctor Degree Dissertation, National University of Defense Technology, in Chinese
Acknowledgments
The authors want to express their gratitude to professors and students from Hu’nan Key Laboratory of Ultra-precision Machining Technology for their helpful participation.
Funding
This project is supported by National Natural Science Foundation of China (NSFC) (51405503), National Natural Science Foundation of China (NSFC) (5167051486), National Natural Science Foundation of China (NSFC) (91523101) and the national key research and development plan of China (No. 2016YFB1102304).
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Guan, F., Hu, H., Li, S. et al. A novel Lap-MRF method for large aperture mirrors. Int J Adv Manuf Technol 95, 4645–4657 (2018). https://doi.org/10.1007/s00170-017-1498-0
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DOI: https://doi.org/10.1007/s00170-017-1498-0