Theoretical Analysis about Off-Axis Parabolic Surface Machining under Two Different Accurate Spiral Tool Paths

Abstract:

Off-axis aspheric surface is an indispensable optical device for the high precision measurement and manufacturing equipment, and the tool path generation is a very important factor for the manufacturing to obtain the surface with high precision form and nanometric surface finish. In this paper, the systemic description of tool path generation method about the off-axis parabolic surface with ultra-precision single point diamond turning is processed. Two effective methods of generating the accurate spiral tool path are proposed and compared. The proposed methods are mainly based on mathematical calculation directly from analytic surfaces, including the general process of tool path generation, cutting-tool compensation and avoiding tool interference. This work can provide the theoretical basis of choosing the cutting tool path for off-axis parabolic surface and can improve the efficiency and precision of machine. Finally, some cutting simulations are implemented to prove the proposed methods.

• Periodical: Key Engineering Materials (Volume 625)
• Pages: 267-273
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.625.267
• Online since: August 2014
• Authors: Shi Jun Ji, Hui Juan Yu, Ji Zhao*, Lei Zhang, Deng Peng Huang
• Keywords: Mathematical Calculation, Off-Axis Parabolic Surface, Tool Path Generation, Ultra-Precision Manufacturing

References

[1] N. Ikawa, RR. Donaldson, R. Komanduri, W. Konig, TH. Aachen, PA. McKeown, T. Moriwaki, IF. Stowers, Ultra-precision metal cutting—the past, the present and the future, CIRP Ann 40 (1991)587–594.

DOI: 10.1016/s0007-8506(07)61134-2

[2] X. Ding, M. Rahman, A study of performance of cutting polycrystalline Al 6061 T6 with single crystalline diamond micro-tools. Precision Engineering 36 (2012) 593– 603.

DOI: 10.1016/j.precisioneng.2012.04.009

[3] X.D. Zhang, H.M. Gao, Y.W. Guo, G.X. Zhang, Machining of optical freeform prisms by rotating tools turning. CIRP Annals - Manufacturing Technology 61(2012) 519–522.

DOI: 10.1016/j.cirp.2012.03.009

[4] C.F. Cheung, W.B. Lee, A theoretical and experimental investigation of surface roughness formation in ultra-precision diamond turning. Int J Mach Tool Manuf 40 (2000)979–1002.

DOI: 10.1016/s0890-6955(99)00103-0

[5] W.B. Lee, C.F. Cheung, A dynamic surface topography model for the prediction of nano-surface generation in ultraprecision machining. Int J Mech Sci 43(2001)961–991.

DOI: 10.1016/s0020-7403(00)00050-3

[6] S.R. Patterson, E.B. Magrab, Design and testing of a fast tool servo for diamond turning Precis. Eng. l7(1985) 123–8.

DOI: 10.1016/0141-6359(85)90030-3

[7] Z.Q. Yin, Y.F. Dai, S.Y. Li, C.L. Guan, G.P. Tie, Fabrication of off-axis aspheric surfaces using a slow tool servo. Int J Machine Tool Manuf 51(2011) 404–410.

DOI: 10.1016/j.ijmachtools.2011.01.008

[8] H. Gong, F.Z. Fang, X.T. Hu, Accurate spiral tool path generation of ultra-precision three-axis turning for non-zero rake angle using symbolic computation. Int J Adv Manuf Technol 58 (2012)841–847.

DOI: 10.1007/s00170-011-3433-0

[9] X.D. Zhang, F.Z. Fang, H.B. Wang, G.S. Wei, X.T. Hu Ultra-precision machining of sinusoidal surfaces using the cylindrical coordinate method. J. Micromech. Microeng. 19(2009)054004 (7pp).

DOI: 10.1088/0960-1317/19/5/054004

[10] A.Y. Yi, Development of a compression molding process for three-dimensional tailored free-form glass optics. Appl. Opt. 45(2006) 6511–8.

DOI: 10.1364/ao.45.006511

[11] D.P. Yu, Y.S. Wong, G.S. Hong, A novel method for determination of the subsurface damage depth in diamond turning of brittle materials. Int J Mach Tool Manuf 51(2011)918–927.

DOI: 10.1016/j.ijmachtools.2011.08.007