Chatter vibrations result in reduced productivity, poor surface finish and decreased cutting tool life. Milling cutters with nonconstant pitch angles can be very effective in improving stability against chatter. In this paper, an analytical stability model and a design method are presented for nonconstant pitch cutters. An explicit relation is obtained between the stability limit and the pitch variation which leads to a simple equation for determination of optimal pitch angles. A certain pitch variation is effective for limited frequency and speed ranges which are also predicted by the model. The improved stability, productivity and surface finish are demonstrated by several examples in the second part of the paper.
Issue Section:
Technical Papers
1.
Hanson
, R. D.
, and Tsao
, T. C.
, 2000
, “Periodic Sampling Interval Repetitive Control and Its Application to Variable Spindle Speed Noncircular Turning Process
,” ASME J. Dyn. Syst., Meas., Control
, 122
(3
), pp. 560
–566
.2.
Jayaram
, S.
, Kapoor
, S. G.
, and DeVor
, R. E.
, 2000
, “Analytical Stability Analysis of Variable Spindle Speed Machining
,” ASME J. Manuf. Sci. Eng.
, 122
(3
), pp. 391
–397
.3.
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
.4.
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
.5.
Tlusty, J., and Polacek, 1963, “The Stability of Machine Tools Against Self Excited Vibrations in Machining,” International Research in Production Engineering, pp. 465–474.
6.
Tobias, S. A., 1965, Machine Tool Vibration, Blackie and Sons Ltd.
7.
Koenigsberger, F., and Tlusty, J., 1967, Machine Tool Structures-Vol. I: Stability Against Chatter, Pergamon Press.
8.
Tlusty
, J.
, and Ismail
, F.
, 1981
, “Basic Nonlinearity in Machining Chatter
,” CIRP Ann.
, 30
, pp. 21
–25
.9.
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
.10.
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
.11.
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
.12.
Minis
, I.
, Yanushevsky
, T.
, Tembo
, R.
, and Hocken
, R.
, 1990
, “Analysis of Linear and Nonlinear Chatter in Milling
,” CIRP Ann.
, 39
, pp. 459
–462
.13.
Budak, E., 1994, “The Mechanics and Dynamics of Milling Thin-Walled Structures,” Ph.D. Dissertation, University of British Columbia.
14.
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
.15.
Altintas
, Y.
, and Budak
, E.
, 1995
, “Analytical Prediction of Stability Lobes in Milling
,” CIRP Ann.
, 44
(1
), pp. 357
–362
.16.
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
.17.
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.
18.
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.
19.
Vanherck, P., 1967, “Increasing Milling Machine Productivity by Use of Cutters with Non-Constant Cutting Edge Pitch,” 8th MTDR Conference, Manchester, pp. 947–960.
20.
Tlusty, J., Ismail, F., and Zaton, W., 1983, “Use of Special Milling Cutters Against Chatter,” NAMRC 11, University of Wisconsin, SME, pp. 408–415.
21.
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
.22.
Magnus, W., and Winkler, S., 1966, Hill’s Equation, Wiley, N.Y.
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