Abstract
Arc envelope grinding method (AEGM) is commonly used for grinding large-aperture mirrors and greatly increases the wheel life and the machining accuracy. As the grinding point shifts on the arc-shaped wheel, a three-axis machine tool is qualified to manufacture aspherical or off-axis surfaces. However, compared with traditional aspherical grinding with a rotary table, grinding process on T3-configuration machine tools is more complicated. The grinding point varies in both latitude and longitude directions on the wheel. In this paper, a new algorithm for wear simulation based on 3D wheel-workpiece contact area is proposed to better understand the wear process in grinding aspherical surface. The resin-bonded diamond wheel was trued by GC (green silicon carbon) wheel. In order to get the grinding ratio, the wear of the wheel profile was measured after grinding a flat SiC-ceramic surface several times. Then, the wheel profile error was compensated first by analyzing the wheel-workpiece contact status. Gaussian process (GP) regression method was used to fit the form error and eliminate both noise and high-frequency waves in the measured data. The residual error was further compensated, and the compensation value was calculated by GP model. The proposed error compensation methods were verified on a three-axis grinder, and RMS value was successfully reduced by 37%.
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References
Kuriyagawa T, Zahmaty MSS, Syoji K (1996) A new grinding method for aspheric ceramic mirrors. J Mater Process Technol 62(4):387–392
Yin S, S-y M, Ohmori H, Uehara Y, Lin W, Liu Q, Maihara T, Iwamuro F, Mochida D (2005) ELID precision grinding of large special Schmidt plate for fibre multi-object spectrograph for 8.2m Subaru telescope. Int J Mach Tools Manuf 45(14):1598–1604
Comley P, Morantz P, Shore P, Tonnellier X (2011) Grinding metre scale mirror segments for the E-ELT ground based telescope. CIRP Ann 60(1):379–382
Leadbeater PB, Clarke M, Wills-Moren WJ, Wilson TJ (1989) A unique machine for grinding large, off-axis optical components: the OAGM 2500. Precis Eng 11(4):191–196
Tonnellier X (2009) Precision grinding for rapid manufacturing of large optics. Cranfield University, England
Zhang Z, Yang X, Zheng L, Xue D (2017) High-performance grinding of a 2-m scale silicon carbide mirror blank for the space-based telescope. Int J Adv Manuf Technol 89(1):463–473
Li Y, Funkenbusch PD, Gracewski SM, Ruckman J (2004) Tool wear and profile development in contour grinding of optical components. Int J Mach Tools Manuf 44(4):427–438
Liu L, Zhang F (2017) Prediction model of form error influenced by grinding wheel wear in grinding process of large-scale aspheric surface with SiC ceramics. Int J Adv Manuf Technol 88(1):899–906
Chen F, Yin S, Huang H, Ohmori H (2015) Fabrication of small aspheric moulds using single point inclined axis grinding. Precis Eng 39:107–115
Chen B, Guo B, Zhao Q (2015) On-machine precision form truing of arc-shaped diamond wheels. J Mater Process Technol 223:65–74
Chen B, Guo B, Zhao Q (2015) An investigation into parallel and cross grinding of aspheric surface on monocrystal silicon. Int J Adv Manuf Technol 80(5):737–746
Xie J, Zheng JH, Zhou RM, Lin B (2011) Dispersed grinding wheel profiles for accurate freeform surfaces. Int J Mach Tools Manuf 51(6):536–542
Xie J, Li Q, Sun JX, Li YH (2015) Study on ductile-mode mirror grinding of SiC ceramic freeform surface using an elliptical torus-shaped diamond wheel. J Mater Process Technol 222:422–433
Jiang Z, Yin Y, Chen X (2015) Geometric error modeling, separation, and compensation of tilted Toric wheel in fewer-axis grinding for large complex optical mirrors. J Manuf Sci Eng 137(3):031003–031010
Huang H, Chen WK, Kuriyagawa T (2007) Profile error compensation approaches for parallel nanogrinding of aspherical mould inserts. Int J Mach Tools Manuf 47(15):2237–2245
Lin XH, Wang ZZ, Guo YB, Peng YF, Hu CL (2014) Research on the error analysis and compensation for the precision grinding of large aspheric mirror surface. Int J Adv Manuf Technol 71(1):233–239
Xi JP, Zhao HY, Li B, Ren DX (2016) Profile error compensation in cross-grinding mode for large-diameter aspheric mirrors. Int J Adv Manuf Technol 83(9):1515–1523
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
Wang Q, Lin S, Jiang Z, Yin Y, Zhao Y (2018) Fewer-axis grinding methodology with simultaneously guaranteeing surface accuracy and grinding force for large optical SiC mirror. Int J Adv Manuf Technol 99(5):1863–1875
Yin Y, Ren MJ, Sun L, Kong L (2016) Gaussian process based multi-scale modelling for precision measurement of complex surfaces. CIRP Ann 65(1):487–490
Rasmussen CE, Williams CKI (2006) Gaussian processes for machining learning. MIT Press, Cambridge
Funding
This work was supported by the National Basic Research Program of China (“973” Program) (Grant No. 2011CB013203).
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Lin, S., Jiang, Z. & Yin, Y. Research on arc-shaped wheel wear and error compensation in arc envelope grinding. Int J Adv Manuf Technol 103, 1847–1859 (2019). https://doi.org/10.1007/s00170-019-03460-4
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DOI: https://doi.org/10.1007/s00170-019-03460-4