Mechanistic Modeling of the Ball End Milling Process for Multi-Axis Machining of Free-Form Surfaces

[+] Author and Article Information
Rixin Zhu, Shiv G. Kapoor, Richard E. DeVor

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Manuf. Sci. Eng 123(3), 369-379 (Jun 01, 2000) (11 pages) doi:10.1115/1.1369357 History: Received July 01, 1999; Revised June 01, 2000
Copyright © 2001 by ASME
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Martelloti,  M. E., 1941, “Analysis of the Milling Process,” Trans. ASME, 63, pp. 677–700.
Koenigsberger,  F., and Sabberwal,  A. J. P., 1961, “An Investigation into the Cutting Force Pulsation during Machining Operations,” Int. J. Mach. Tool Des. Res., 1, pp. 15–33.
Tlusty,  J., and MacNeil,  P., 1975, “Dynamics of Cutting Forces in End Milling,” CIRP Ann., 24, pp. 21–25.
Kline,  W. A., DeVor,  R. E., and Lindberg,  J. R., 1982, “The Prediction of Cutting Forces in End Milling with Application to Cornering Cuts,” Int. J. Mach. Tools Manuf., 22, pp. 7–22.
Sutherland,  J. W., and DeVor,  R. E., 1986, “An Improved Method for Cutting Force and Surface Error Prediction in Flexible End Milling Systems,” ASME J. Eng. Ind. 108, pp. 269–279.
Yang,  M., and Park,  H., 1991, “The Prediction of Cutting Force in Ball End Milling,” Int. J. Mach. Tools Manuf., 31, pp. 45–54.
Feng,  H., and Menq,  C., 1994a, “The Prediction of Cutting Forces in the Ball-End Milling Process—I. Model Formulation and Model Building Procedure,” Int. J. Mach. Tools Manuf., 34, pp. 697–710.
Lee,  P., and Altintas,  Y., 1996, “Prediction of Ball-End Milling Forces from Orthogonal Cutting Data,” Int. J. Mach. Tools Manuf., 36, pp. 1059–1072.
Yucesan,  G., and Altintas,  Y., 1996, “Prediction of Ball End Milling Forces,” ASME J. Eng. Ind. 118, pp. 95–103.
Lazoglu,  I., and Liang,  S. Y., 1997, “Analytical Modeling of Force System in Ball-End Milling,” Journal of Machining Science and Technology,1 No. 2, pp. 219–234.
Spence,  A. D., and Altintas,  Y., 1994, “A Solid Modeller Based Milling Process Simulation and Planning System,” ASME J. Eng. Ind. 116, pp. 61–69.
Elmounayri,  H., Spence,  A. D., and Elbestawi,  M. A., 1998, “Milling Process Simulation—A Generic Solid Modeller Based Paradigm,” ASME J. Eng. Ind. Sci. Eng., 120, pp. 213–221.
Imani,  B. M., Sadeghi,  M. H., and Elbestawi,  M. A., 1998, “An Improved Process Simulation System for Ball-End Milling of Sculptured Surfaces,” Int. J. Mach. Tools Manuf., 38, pp. 1089–1107.
Feng,  H., and Menq,  C., 1994b, “The Prediction of Cutting Forces in the Ball-End Milling Process—II. Cut Geometry Analysis and Model Verification,” Int. J. Mach. Tools Manuf., 34, pp. 711–719.
Lim,  E. M., Feng,  H., Menq,  C., and Lin,  Z., 1995, “The Prediction of Dimensional Error for Sculptured Surface Productions Using the Ball-End Milling Process, Part I: Chip Geometry Analysis and Cutting Force Prediction,” Int. J. Mach. Tools Manuf., 35, pp. 1149–1169.
Jerard,  R. B., Hussaini,  S. Z., Drysdale,  R. L., and Schaudt,  B., 1989b, “Approximate Methods for Simulation and Verification of Numerically Controlled Machining Programs,” Visual Comput., 5, pp. 329–348.
Fussell,  B. K., Hemmett,  J. G., and Jerard,  R. B., 1999, “Modeling of Five-Axis End Mill Cutting Using Axially Discretized Tool Moves,” Transactions of NAMRI/SME,XXVII, pp. 81–86.
Choi, B., and Jerard, R., 1998, Sculptured Surface Machining—Theory and Application, Kluwer Academic Publishers.
Jerard,  R. B., Drysdale,  R. L., Hauck,  K., Schaudt,  B., and Magewick,  J., 1989a, “Methods for Detecting Errors in Numerically Controlled Machining of Sculptured Surfaces,” IEEE Comput. Graphics Appl., 9, pp. 26–39.
Elmounayri, H., Imani, B., Elbestawi, M. A., and Spence, A. D., 1997, “Closing the Gap between CAD/CAM and Machining Process Simulation: A Generic Solution,” Proc. of IMECE, MED-Vol. 6-2, pp. 127–134.
Mortenson, M. E., 1997, Geometric Modeling, John Wiley & Sons.
Kline,  W. A., and DeVor,  R. E., 1983, “The Effect of Runout on Cutting Geometry and Forces in End Milling,” Int. J. Mach. Tools Manuf., 23, pp. 123–140.
Chandrasekharan,  V., Kapoor,  S. G., and DeVor,  R. E., 1997, “A Calibration Procedure for Fundamental Oblique-Cutting Model Coefficients Based on a Three-Dimensional Mechanistic Drilling Force Model,” Trans. of NAMRI/SME,XXV, pp. 255–260.
Chappel,  L. T., 1983, “The Use of Vectors to Simulate Material Removed by Numerically Controlled Milling,” Computer Aided Design,15, pp. 156–158.
Kim,  K. I., Chon,  Y. J., and Kim,  K., 1996, “Simulation and Verification of CNC Tool Path for Sculptured Surfaces,” Transactions of NAMRI/SME,XXIV, pp. 69–74.
Chiou,  C.-J., and Lee,  Y.-S., 1999, “A Shape-Generating Approach for Multi-Axis Machining G-Buffer Models,” Computer Aided Design,31, pp. 761–776.
Piegl,  L., 1991, “On NURBS: A Survey,” IEEE Comput. Graphics Appl., 11, pp. 55–71.
Scherrer,  P. K., and Hillberry,  B. M., 1978, “Determining Distance to a Surface Represented in Piecewise Fashion with Surface Patches,” Computer Aided Design,10, pp. 320–324.
Corney, J., 1997, 3D Modeling with the ACIS Kernel and Toolkit, John Wiley & Sons.
Zhu, R., DeVor, R. E., and Kapoor, S. G., 1998, “A Model-Based Hybrid Search Method for Machining Process Diagnostics,” Proceedings of the Japan-USA Symposium on Flexible Automation, pp. 1259–1266.
Yazar,  Z., Koch,  K., Merrick,  T., and Altan,  T., 1994, “Feed Rate Optimization Based on Cutting Force Calculations in 3-Axis Milling of Dies and Molds with Sculptured Surfaces,” Int. J. Mach. Tools Manuf., 34, pp. 365–377.


Grahic Jump Location
Representation of tool path and workpiece surface
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Cutting point geometry for a ball end mill
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Cutting engagement with respect to workpiece
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Determination of undeformed chip thickness
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3D shape driving profile and tool swept envelope
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Illustration of surface machining tests
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Measured and simulated cutting forces for Test 9
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Measured and simulated semi-finishing forces
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Measured and simulated finishing forces
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Cutting geometry around Point A and Point D
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Variation of cutting parameters around Point D
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Measured and simulated semi-finishing forces after feedrate scheduling




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