Abstract
This paper presents two new methods and associated algorithms for numerically modeling chip geometry and calculating cutting force for parts with free-form surface during 5-axis CNC machining using a flat-end mill. Extending the computational geometry-based Alpha shape method that can only predict cutting chip geometry, a parallel slice local volume modeling approach has been added to predict cutting forces as well. To demonstrate the validity and capability of these new methods, simulation of the cutting and chip forming process of 5-axis CNC machining on a free-form surface has been carried out. Physical validation experiment in controlled conditions has been carried out on a 3-axis micro CNC machine with the two cutter rotation angles set to be zero. The predicted and measured cutting forces are in reasonably good agreement both in trend and magnitude. The presented chip volume and cutting force method can be used to perform cutting force estimation for generating optimal tool path and orientation during 5-axis milling. The method requires longer computational time than traditional analytical methods, but it supports the ultimate goal of chip volume modeling and calculation—accurate dynamics cutting force prediction.
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References
Lasemi A, Xue DY, Gu PH (2010) Recent development in CNC machining of freeform surfaces: a state-of-the-art review. Comput Aided Des 42(7):641–654
Lamikiz A et al. (2004) Cutting force estimation in sculptured surface milling. International Journal of Machine Tools & Manufacture 44(14):1511–1526
Wang Y, Dong Z, Vickers G (2007) A 3D curvature gouge detection and elimination method for 5-axis CNC milling of curved surfaces. Int J Adv Manuf Technol 33(3–4):368–378
Ozturk B, Lazoglu I (2006) Machining of free-form surfaces. Part I: analytical chip load. Int J Mach Tools Manuf 46(78):728–735
Du S et al. (2005) Formulating swept profiles for five-axis tool motions. International Journal of Machine Tools & Manufacture 45(7–8):849–861
Lee S, Nestler A Virtual workpiece: workpiece representation for material removal process. The International Journal of Advanced Manufacturing Technology 58(5–8):443–463
Weinert K et al. (2004) Swept volume generation for the simulation of machining processes. Int J Mach Tools Manuf 44(6):617–628
Lee SW, Nestler A (2011) Complete swept volume generation, Part I: Swept volume of a piecewise C1-continuous cutter at five-axis milling via Gauss map. Computer-Aided Design 43(4):427–441
Ferry W, Yip-Hoi D (2008) Cutter-workpiece engagement calculations by parallel slicing for five-axis flank milling of jet engine impellers. J Manuf Sci Eng 130(5):51011
Edelsbrunner H, Kirkpatrick D, Seidel R (1983) On the shape of a set of points in the plane. Information Theory, IEEE Transactions on 29(4):551–559
Edelsbrunner H, Mucke EP (1994) Three-dimensional alpha shapes. ACM Trans Graph 13(1):43–72
Luo S (2015) Toolpath and cutter orientation optimization in 5-Axis CNC machining of free-form surfaces using flat-end mills. University of Victoria, Victoria, British Columbia
Boz, Y., H. Erdim, and I. Lazoglu(Modeling Cutting Forces for Five Axis Milling of Sculptured Surfaces: TRANS TECH PUBLICATIONS LTD.
Zhu RX, Kapoor SG, DeVor RE (2001) Mechanistic modeling of the ball end milling process for multi-axis machining of free-form surfaces. Journal of manufacturing science and engineering-transactions of the ASME 123(3):369–379
Altintas, Y.(2012) Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design Cambridge; New York
Mayor JR, Sodemann AA (2008) Intelligent tool-path segmentation for improved stability and reduced machining time in micromilling. J Manuf Sci Eng 130(3):31121
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Luo, S., Dong, Z. & Jun, M.B. Chip volume and cutting force calculations in 5-axis CNC machining of free-form surfaces using flat-end mills. Int J Adv Manuf Technol 90, 1145–1154 (2017). https://doi.org/10.1007/s00170-016-9423-5
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DOI: https://doi.org/10.1007/s00170-016-9423-5