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TECHNICAL PAPERS

An Analytical Design Method for Milling Cutters With Nonconstant Pitch to Increase Stability, Part I: Theory

[+] Author and Article Information
E. Budak

Faculty of Engineering and Natural Sciences, Sabancı University, İstanbul, Turkeye-mail: ebudak@sabanciuniv.edu

J. Manuf. Sci. Eng 125(1), 29-34 (Mar 04, 2003) (6 pages) doi:10.1115/1.1536655 History: Received September 01, 2000; Revised July 01, 2002; Online March 04, 2003
Copyright © 2003 by ASME
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References

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Radulescu,  R., Kapoor,  S. G., and DeVor,  R. E., 1997, “An Investigation of Variable Spindle Speed Face Milling for Tool-Work Structures with Complex Dynamics. 1. Simulation Results,” ASME J. Manuf. Sci. Eng., 119(3), pp. 266–272.
Altintas,  Y., and Chan,  P., 1992, “In-Process Detection and Suppression of Chatter in Milling,” Int. J. Mach. Tools Manuf., 32(3), pp. 329–347.
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Tobias, S. A., 1965, Machine Tool Vibration, Blackie and Sons Ltd.
Koenigsberger, F., and Tlusty, J., 1967, Machine Tool Structures-Vol. I: Stability Against Chatter, Pergamon Press.
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Sridhar,  R., Hohn,  R. E., and Long,  G. W., 1968, “General Formulation of the Milling Process Equation,” ASME J. Eng. Ind., 90, pp. 317–324.
Sridhar,  R., Hohn,  R. E., and Long,  G. W., 1968, “A Stability Algorithm for the General Milling Process,” ASME J. Eng. Ind., 90, pp. 330–334.
Minis,  I., and Yanushevsky,  T., 1993, “A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling,” ASME J. Eng. Ind., 115, pp. 1–8.
Minis,  I., Yanushevsky,  T., Tembo,  R., and Hocken,  R., 1990, “Analysis of Linear and Nonlinear Chatter in Milling,” CIRP Ann., 39, pp. 459–462.
Budak, E., 1994, “The Mechanics and Dynamics of Milling Thin-Walled Structures,” Ph.D. Dissertation, University of British Columbia.
Budak,  E., and Altintas,  Y., 1998, “Analytical Prediction of Chatter Stability in Milling-Part I: General Formulation; Part II: Application to Common Milling Systems,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 22–36.
Altintas,  Y., and Budak,  E., 1995, “Analytical Prediction of Stability Lobes in Milling,” CIRP Ann., 44(1), pp. 357–362.
Altintas,  Y., Shamoto,  E., Lee,  P., and Budak,  E., 1999, “Analytical Prediction of Stability Lobes in Ball-End-Milling,” ASME J. Manuf. Sci. Eng., 121(4), pp. 586–592.
Slavicek, J., 1965, “The Effect of Irregular Tooth Pitch on Stability of Milling,” Proceedings of the 6th MTDR Conference, Pergamon Press, London, pp. 15–22.
Opitz, H., Dregger, E. U., and Roese, H., 1966, “Improvement of the Dynamic Stability of the Milling Process by Irregular Tooth Pitch,” Proceedings of the Adv. MTDR Conference, No. 7, p. 213–227.
Vanherck, P., 1967, “Increasing Milling Machine Productivity by Use of Cutters with Non-Constant Cutting Edge Pitch,” 8th MTDR Conference, Manchester, pp. 947–960.
Tlusty, J., Ismail, F., and Zaton, W., 1983, “Use of Special Milling Cutters Against Chatter,” NAMRC 11, University of Wisconsin, SME, pp. 408–415.
Altintas,  Y., Engin,  S., and Budak,  E., 1999, “Analytical Stability Prediction and Design of Variable Pitch Cutters,” ASME J. Manuf. Sci. Eng., 121, pp. 173–178.
Magnus, W., and Winkler, S., 1966, Hill’s Equation, Wiley, N.Y.

Figures

Grahic Jump Location
Effect of number of teeth on stability gain for milling cutters with linear pitch variation
Grahic Jump Location
Effect of Δε on stability gain for a 4-fluted end mill with alternating pitch variation
Grahic Jump Location
Effect of Δε on stability gain for a 4-fluted end mill with linear pitch variation
Grahic Jump Location
Tooth immersion angle corresponding to one full vibration wave left on the surface
Grahic Jump Location
Chatter model for milling

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