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TECHNICAL PAPERS

Floquet Theory Based Approach for Stability Analysis of the Variable Speed Face-Milling Process

[+] Author and Article Information
Sridhar Sastry, 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 124(1), 10-17 (Mar 01, 2001) (8 pages) doi:10.1115/1.1418695 History: Received March 01, 2000; Revised March 01, 2001
Copyright © 2002 by ASME
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References

Inamura,  T., and Sata,  T., 1974, “Stability Analysis of Cutting Under Varying Spindle Speed,” CIRP Ann., 23, pp. 119–120.
Sexton,  J. S., Milne,  R. D., and Stone,  B. J., 1977, “A Stability Analysis of Single Point Machining with Varying Spindle Speed,” Applied Math Modeling, pp. 310–318.
Jemielniak,  K., and Widota,  A., 1984, “Suppression of Self Excited Vibration by the Spindle Speed Variation Method,” Int. J. Mach. Tool Des. Res., 24(3), pp. 207–214.
Zhang, H., Ni, Jun, and Shi, H., 1994, “Machining Chatter Suppression by Means of Spindle Speed Variation, Part 1: Numerical Simulation, Part 2: Experimental Investigation,” Proceedings of the First S. M. Wu Symposium on Manufacturing Science, pp. 161–175.
Jayaram, S., 1996, “Stability and Vibration Analysis of Turning and Face-Milling Processes,” PhD thesis, University of Illinois at Urbana-Champaign.
Minis,  I., and Yanushevsky,  R., 1993, “A New Theoretical Approach for Prediction of Stability Lobes in Milling,” ASME J. Ind., 115, pp. 1–8.
Altintas,  Y., and Budak,  E., 1995, “Analytical Prediction of Stability Lobes in Milling,” CIRP Ann., 44(1), pp. 357–362.
Jensen, S. A., and Shin, Y. C., 1997, “Stability Analysis in Face-Milling Operations, Part 1: Theory of Stability Lobe Prediction,” ASME Manuf. Sc. and Tech. MED, 6 (2), pp. 403–410.
Tsao,  T. C., McCarthy,  M. W., and Kapoor,  S. G., 1993, “A New Approach to Stability Analysis of Variable Speed Machining Systems,” Int. J. Mach. Tools Manuf., 6, pp. 791–808.
Sastry, Sridhar, 1999, “An Investigation of Variable Speed Machining for Chatter Suppression and Run-Out Compensation in Face-Milling,” Master’s thesis, University of Illinois at Urbana-Champaign.
Gu,  F., Kapoor,  S. G., DeVor,  R. E., and Bandopadhyay,  P., 1997, “An Enhanced Cutting Force Model for Face-Milling with Variable Cutter Feed Motion and Complex Workpiece Geometry,” ASME J. Manuf. Sci. Eng., 119, pp. 467–475.
Fu,  H. J., Kapoor,  S. G., and DeVor,  R. E., 1984, “A Mechanistic Model for Prediction of Force System in Face Milling,” ASME J. Ind., 106, p. 81.
Canniere,  J. D., Brussel,  V. H., and Bogaert,  J. V., 1981, “A Contribution to Mathematical Analysis of Variable Spindle Speed Machining,” Appl. Math. Model., 5, pp. 158–164.
E. A., Coddington, and N., Levinson, 1955, Theory of Ordinary Differential Equations, Mc-Graw Hill, N. Y.
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, Part 1: Simulation Results, Part 2: Physical Explanation,” ASME J. Manuf. Sci. Eng., 119(3), pp. 266–283.
Merritt,  H. E., 1965, “Theory of Self-excited Machine Tool Chatter: Contribution to Machine Tool Chatter,” ASME J. Ind., 87, pp. 447–454.

Figures

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Face-milling geometry (Fu et al. 12)
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Time and speed modulations of τ(t)
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Two degree-of-freedom milling fixture
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Model validation: 2 DOF, no coupling
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Model validation: 2 DOF, with coupling
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Workpiece with multiple vibration modes
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Analytical stability charts
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Resultant stability charts
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Cutting force spectrum (1500 RPM)
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Cutting force spectrum (2400 RPM)

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