Abstract
The improvement of ultra-precision machining technology has significantly boosted the demand for the surface quality and surface accuracy of the workpieces to be machined. However, the geometric shapes of workpiece surfaces cannot be adequately manufactured with simple plane, cylindrical, or spherical surfaces because of their different applications in various fields. In this research, a method was proposed to generate tool paths for the machining of complex spherical surfaces based on an ultra-precise five-axis turning and milling machine with a C-Y-Z-X-B structure. Through the proposed tool path generation method, ultra-precise complex spherical surface machining was achieved. First, the complex spherical surface model was modeled and calculated, and then it was combined with the designed model to generate the tool path. Then the tool paths were generated with a numerically controlled (NC) program. Based on an ultra-precision three-coordinate measuring instrument and a white light interferometer, the machining accuracy of a workpiece surface was characterized, and the effectiveness of the tool path generation method was verified. The surface roughness of the machined workpiece was less than 90 nm. Furthermore, the surface roughness within the spherical region appeared to be less than 30 nm. The presented tool path generation method in this research produced ultra-precision spherical complex surfaces. The method could be applied to complex spherical surfaces with other characteristics.
Similar content being viewed by others
References
Yuan JL, Lyu BH, Hang W, Deng QF (2017) Review on the progress of ultra-precision machining technologies. Front Mech Eng 12(2):158–180. https://doi.org/10.1007/s11465-017-0455-9
Kong LB, Cheung CF (2012) Prediction of surface generation in ultra-precision raster milling of optical freeform surfaces using an integrated kinematics error model. Adv Eng Softw 45(1):124–136. https://doi.org/10.1016/j.advengsoft.2011.09.011
Cheung CF, Li HF, Lee WB, To S, Kong LB (2007) An integrated form characterization method for measuring ultra-precision freeform surfaces. Int J Mach Tools Manuf 47(1):81–91. https://doi.org/10.1016/j.ijmachtools.2006.02.013
Takino H, Kawai T, Takeuchi Y (2007) 5-axis control ultra-precision machining of complex-shaped mirrors for extreme ultraviolet lithography system. CIRP Ann-Manuf Technol 56(1):123–126. https://doi.org/10.1016/j.cirp.2007.05.031
Tauhiduzzaman M, Veldhuis SC (2014) Effect of material microstructure and tool geometry on surface generation in single point diamond turning. Precis Eng-J Int Soc Precis Eng Nanotechnol 38(3):481–491. https://doi.org/10.1016/j.precisioneng.2014.01.002
Zhang SJ, Zhou YP, Zhang HJ, Xiong ZW, To S (2019) Advances in ultra-precision machining of micro-structured functional surfaces and their typical applications. Int J Mach Tools Manuf 142:16–41. https://doi.org/10.1016/j.ijmachtools.2019.04.009
Tie GP, Dai YF, Guan CL, Zhu DC, Song B (2013) Research on full-aperture ductile cutting of KDP crystals using spiral turning technique. J Mater Process Technol 213(12):2137–2144. https://doi.org/10.1016/j.jmatprotec.2013.06.006
Li CJ, Li Y, Gao X, Duong CV (2015) Ultra-precision machining of Fresnel lens mould by single-point diamond turning based on axis B rotation. Int J Adv Manuf Technol 77(5-8):907–913. https://doi.org/10.1007/s00170-014-6522-z
Sze-Wei G, Han-Seok L, Rahman M, Watt F (2007) A fine tool servo system for global position error compensation for a miniature ultra-precision lathe. Int J Mach Tools Manuf 47(7-8):1302–1310. https://doi.org/10.1016/j.ijmachtools.2006.08.023
Yu DP, Gan SW, Wong YS, Hong GS, Rahman M, Yao J (2012) Optimized tool path generation for fast tool servo diamond turning of micro-structured surfaces. Int J Adv Manuf Technol 63(9-12):1137–1152. https://doi.org/10.1007/s00170-012-3964-z
Yuan YJ, Zhang DW, Jing XB, Zhu HY, Zhou WL, Cao J, Ehmann KF (2019) Fabrication of hierarchical freeform surfaces by 2D compliant vibration-assisted cutting. Int J Mech Sci 152:454–464. https://doi.org/10.1016/j.ijmecsci.2018.12.051
Mishra V, Burada DR, Pant KK, Karar V, Jha S, Khan GS (2019) Form error compensation in the slow tool servo machining of freeform optics. Int J Adv Manuf Technol 105(1-4):1623–1635. https://doi.org/10.1007/s00170-019-04359-w
Kong LB, Cheung CF, Lee WB (2016) A theoretical and experimental investigation of orthogonal slow tool servo machining of wavy microstructured patterns on precision rollers. Precis Eng-J Int Soc Precis Eng Nanotechnol 43:315–327. https://doi.org/10.1016/j.precisioneng.2015.08.012
Deng WJ, Yin XL, Tang W, Xue DL, Zhang XJ (2019) Research on ion beam figuring system with five-axis hybrid mechanism for complex optical surface. In: Li X, Plummer WT, Fan B, Pu M, Wan Y, Luo X (eds) 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies, vol 10838. Proceedings of SPIE. Spie-Int Soc Optical Engineering, Bellingham. https://doi.org/10.1117/12.2504957
Butt MA, Yang YQ, Pei XZ, Liu Q (2018) Five-axis milling vibration attenuation of freeform thin-walled part by eddy current damping. Precis Eng-J Int Soc Precis Eng Nanotechnol 51:682–690. https://doi.org/10.1016/j.precisioneng.2017.11.010
Luo M, Luo H, Zhang DH, Tang K (2018) Improving tool life in multi-axis milling of Ni-based superalloy with ball-end cutter based on the active cutting edge shift strategy. J Mater Process Technol 252:105–115. https://doi.org/10.1016/j.jmatprotec.2017.09.010
Xu JT, Zhang DY, Sun YW (2019) Kinematics performance oriented smoothing method to plan tool orientations for 5-axis ball-end CNC machining. Int J Mech Sci 157:293–303. https://doi.org/10.1016/j.ijmecsci.2019.04.038
Cheng Q, Feng QA, Liu ZF, Gu PH, Cai LG (2015) Fluctuation prediction of machining accuracy for multi-axis machine tool based on stochastic process theory. Proc Inst Mech Eng Part C-J Eng Mech Eng Sci 229(14):2534–2550. https://doi.org/10.1177/0954406214562633
Wang HW, Ran Y, Zhang SY, Li YL (2020) Coupling and decoupling measurement method of complete geometric errors for multi-axis machine tools. Appl Sci-Basel 10(6):19. https://doi.org/10.3390/app10062164
McCall B, Tkaczyk TS (2013) Rapid fabrication of miniature lens arrays by four-axis single point diamond machining. Opt Express 21(3):3557–3572. https://doi.org/10.1364/oe.21.003557
Dutterer BS, Lineberger JL, Smilie PJ, Hildebrand DS, Harriman TA, Davies MA, Suleski TJ, Lucca DA (2014) Diamond milling of an Alvarez lens in germanium. Precis Eng-J Int Soc Precis Eng Nanotechnol 38(2):398–408. https://doi.org/10.1016/j.precisioneng.2013.12.006
Osan A, Banica M, Nasui V (2018) Processing of convex complex surfaces with toroidal milling versus ball nose end mill. In: Slatineanu L, Merticaru V, Mihalache AM et al (eds) 22nd International Conference on Innovative Manufacturing Engineering and Energy - Imane&E 2018, vol 178. MATEC Web of Conferences. https://doi.org/10.1051/matecconf/201817801003
Fan HZ, Xi G, Wang W, Cao YL (2016) An efficient five-axis machining method of centrifugal impeller based on regional milling. Int J Adv Manuf Technol 87(1-4):789–799. https://doi.org/10.1007/s00170-016-8467-x
Chen C-S, Huang C-H (2008) Experimental Study on Five-Axis Machining Parameter for NAK80 die steel. In: Hwang SJ, Lee SY (eds) Advanced Manufacture: Focusing on New and Emerging Technologies, vol 594. Materials Science Forum. pp 226-234. https://doi.org/10.4028/www.scientific.net/MSF.594.226
Xiao Y, Chen M, Chu X, Tian W (2013) Research on accuracy analysis and performance verification test of micro-precise five-axis machine tool. Int J Adv Manuf Technol 67(1-4):387–395. https://doi.org/10.1007/s00170-012-4492-6
Yuan YJ, Zhang DW, Jing XB, Ehmann KF (2020) Freeform surface fabrication on hardened steel by double frequency vibration cutting. J Mater Process Technol 275:9. https://doi.org/10.1016/j.jmatprotec.2019.116369
Kong LB, Ma YG, Ren MJ, Xu M, Cheung CA (2020) Generation and characterization of ultra-precision compound freeform surfaces. Sci Prog 103(1):21. https://doi.org/10.1177/0036850419880112
Koyama Y, Nakamoto K, Takeuchi Y (2012) Development of CAPP/CAM system for ultraprecision micromachining-process planning considering setting error. In: Lee WB, Cheung CF, To S (eds) Proceedings of Precision Engineering and Nanotechnology, Key Engineering Materials, vol 516. Trans Tech Publications Ltd, Stafa-Zurich, pp 66–72. https://doi.org/10.4028/www.scientific.net/KEM.516.66
Chen MJ, Guo WX, Li D (2004) Research of the complex surface algorithm based on recursive subdivision numeric control interpolation. In: Ai X, Li J, Huang C (eds) Advances in Materials Manufacturing Science and Technology, vol 471-472. Materials Science Forum. Trans Tech Publications Ltd, Durnten-Zurich, pp 155–161. https://doi.org/10.4028/www.scientific.net/MSF.471-472.155
Chen MJ, Xiao Y, Tian WL, Wu CY, Chu X (2014) Theoretical and experimental research on error analysis and optimization of tool path in fabricating aspheric compound eyes by precision micro milling. Chin J Mech Eng 27(3):558–566. https://doi.org/10.3901/cjme.2014.03.558
Huang R, Zhang XQ, Rahman M, Kumar AS, Liu K (2015) Ultra-precision machining of radial Fresnel lens on roller moulds. CIRP Ann-Manuf Technol 64(1):121–124. https://doi.org/10.1016/j.cirp.2015.04.062
Chen CCA, Chen CM, Chen JR (2007) Toolpath generation for diamond shaping of aspheric lens array. J Mater Process Technol 192:194–199. https://doi.org/10.1016/j.jmatprotec.2007.04.024
Gao D, To S, Lee WB (2006) Tool path generation for machining of optical freeform surfaces by an ultra-precision multiaxis machine tool. Proc Inst Mech Eng Part B-J Eng Manuf 220(12):2021–2026. https://doi.org/10.1243/09544054jem614
Brecher C, Lange S, Merz M, Niehaus F, Wenzel C, Winterschladen M (2006) NURBS based ultra-precision free-form machining. CIRP Ann-Manuf Technol 55(1):547–550. https://doi.org/10.1016/s0007-8506(07)60479-x
Arivazhagan A (2020) Toolpath algorithm for free form irregular contoured walls/surfaces with internal deflecting connections. Mater Today-Proc 22:3037–3047
Wu BH, Liang MC, Zhang Y, Luo M, Tang K (2018) Optimization of machining strip width using effective cutting shape of flat-end cutter for five-axis free-form surface machining. Int J Adv Manuf Technol 94(5-8):2623–2633. https://doi.org/10.1007/s00170-017-0953-2
Moodleah S, Bohez EJ, Makhanov SS (2016) Five-axis machining of STL surfaces by adaptive curvilinear toolpaths. Int J Prod Res 54(24):7296–7329. https://doi.org/10.1080/00207543.2016.1176265
Ding S, Mannan MA, Poo AN, Yang DCH, Han Z (2005) The implementation of adaptive isoplanar tool path generation for the machining of free-form surfaces. Int J Adv Manuf Technol 26(7-8):852–860. https://doi.org/10.1007/s00170-004-2058-y
Lin ZW, Fu JZ, Shen HY, Gan WF (2014) An accurate surface error optimization for five-axis machining of freeform surfaces. Int J Adv Manuf Technol 71(5-8):1175–1185. https://doi.org/10.1007/s00170-013-5549-x
Wan M, Liu Y, Xing WJ, Zhang WH (2018) Singularity avoidance for five-axis machine tools through introducing geometrical constraints. Int J Mach Tools Manuf 127:1–13. https://doi.org/10.1016/j.ijmachtools.2017.12.006
Lock GD, Edwards S, Almond DP (2010) Flow visualization experiments demonstrating the reverse swing of a cricket ball. Proc Inst Mech Eng Part P-J Sport Eng Technol 224(P3):191–199. https://doi.org/10.1243/17543371jset73
Scobie JA, Sangan CM, Lock GD (2014) Flow visualisation experiments on sports balls. In: James D, Choppin S, Allen T, Wheat J, Fleming P (eds) Engineering of Sport 10, Procedia Engineering, vol 72. Elsevier Science Bv, Amsterdam, pp 738–743. https://doi.org/10.1016/j.proeng.2014.06.125
Cripps RJ, Cross B, Hunt M, Mullineux G (2017) Singularities in five-axis machining: cause, effect and avoidance. Int J Mach Tools Manuf 116:40–51. https://doi.org/10.1016/j.ijmachtools.2016.12.002
Jiang Z, Ding JX, Zhang J, Ding QC, Li QZ, Du L, Wang W (2019) Research on detection of the linkage performance for five-axis CNC machine tools based on RTCP trajectories combination. Int J Adv Manuf Technol 100(1-4):941–962. https://doi.org/10.1007/s00170-018-2715-1
Availability of data and material
Not applicable.
Code availability
Not applicable.
Funding
This work was supported by the Science Challenge Project of China (Grant No. TZ2018006-0202-01).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Xing, T., Zhao, X., Cui, Z. et al. Study of the tool path generation method for an ultra-precision spherical complex surface based on a five-axis machine tool. Int J Adv Manuf Technol 115, 3251–3267 (2021). https://doi.org/10.1007/s00170-021-07403-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-07403-w