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TECHNICAL PAPERS

Added Stability Lobes in Machining Processes That Exhibit Periodic Time Variation, Part 1: An Analytical Solution

[+] Author and Article Information
William T. Corpus

Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-215  

William J. Endres

Dept. of Mechanical Engr.–Engr. Mechanics, Michigan Technological University, Houghton, MI 49931-1295

J. Manuf. Sci. Eng 126(3), 467-474 (Sep 07, 2004) (8 pages) doi:10.1115/1.1765137 History: Received October 01, 2002; Revised December 01, 2003; Online September 07, 2004
Copyright © 2004 by ASME
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References

Tlusty,  J., 1986, “Dynamics of High-Speed Milling,” ASME J. Manuf. Sci. Eng., 108, pp. 59–67.
Merritt,  H. E., 1965, “Theory of Self-Excited Machine-Tool Chatter: Contribution to Machine-Tool Chatter Research—1,” ASME J. Manuf. Sci. Eng., 87, pp. 447–454.
Tlusty, J., and Polacek, M., 1963, “The Stability of the Machine Tool Against Self-Excited Vibrations in Machining,” ASME Prod. Engg. Res. Conf., Pittsburgh, pp. 454–465.
Nigm,  M. M., 1981, “A Method for the Analysis of Machine Tool Chatter,” Int. J. Mach. Tool Des. Res., 21, pp. 251–261.
Budak,  E., and Altintas,  Y., 1998, “Analytical Prediction of Chatter Stability in Milling—Part I: General Formulation,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 22–30.
Lee,  A. C., and Liu,  C. S., 1991, “Analysis of Chatter Vibration in the End Milling Processes,” Int. J. Mach. Tools Manuf., 31, pp. 471–479.
Zhang,  H., Ni,  J., and Shi,  H., 1995, “Phase Difference and its Sensitivity Analysis for a Nonlinear Difference-Differential Machining Chatter Model,” Trans. NAMRI/SME,23, pp. 131–136.
Endres,  W. J., 1996, “A Quantitative Energy-Based Method for Predicting Stability Limit as a Direct Function of Spindle Speed for High Speed Machining,” Trans. NAMRI/SME,24, pp. 27–32.
Olgac,  N., and Hosek,  M., 1998, “A New Perspective and Analysis for Regenerative Machine Tool Chatter,” Int. J. Mach. Tools Manuf., 38, pp. 783–798.
Sridhar,  R., Hohn,  R. E., and Long,  G. W., 1968, “A General Formulation of the Milling Process Equation—Contribution to Machine Tool Chatter Research—5,” ASME J. Ind., 90, pp. 317–324.
Sridhar,  R., Hohn,  R. E., and Long,  G. W., 1968, “A Stability Algorithm for the General Milling Process—Contribution to Machine Tool Chatter Research—7,” ASME J. Ind., 90, pp. 330–334.
Smith,  S., and Tlusty,  J., 1991, “An Overview of Modeling and Simulation of Milling Processes,” ASME J. Manuf. Sci. Eng., 113, p. 169.
Minis,  I., and Yanushevsky,  R., 1993, “A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling,” ASME J. Manuf. Sci. Eng., 115, pp. 1–8.
Davies,  M. A., Pratt,  J. R., Dutterer,  B. S., and Burns,  T. J., 2000, “The Stability of Low Radial Immersion Milling,” CIRP Ann., 49, pp. 37–40.
Davies,  M. A., Pratt,  J. R., Dutterer,  B. S., and Burns,  T. J., 2002, “Stability Prediction for Low Radial Immersion Machining,” ASME J. Manuf. Sci. Eng., 124, pp. 217–225.
Bayly, P. V., Halley, J. E., Davies, M. A., and Pratt, J. R., 2000, “Stability Analysis of Intermittent Machining With Finite Time in Cut,” Proc., Symp. on Machining Processes, ASME IMECE, MED-11 , pp. 989–996.
Insperger,  T., and Stépán,  G., 2000, “Stability of the Milling Process,” Periodica Polytechnica Ser. Mech. Eng.,44, pp. 47–57.
Corpus, W. T., 2000, “An Added Stability Phenomenon in Machining Processes With Periodic Time Variation,” Ph.D. Thesis, University of Michigan, Ann Arbor, MI.
Endres,  W. J., and Ozdoganlar,  O. B., 2002, “Existence and Effects of Overlap Factors Greater Than Unity and Less Than Zero,” J. Manuf. Proc.,4, pp. 67–76.
Shorr,  M. J., and Liang,  S. Y., 1996, “Chatter Stability Analysis for End Milling via Convolution Modeling,” Int. J. of Adv. Manuf. Tech.,11, pp. 311–318.
Endres,  W. J., 1997, “An Energy-Based Approach Towards Obtaining an Analytical Solution for Chatter Vibration Level,” Tech. Papers of NAMRI/SME,25, pp. 27–32.
Corpus, W. T., and Endres, W. J., 2000, “A High-Order Solution for the Added Stability Lobes in Intermittent Machining,” Proc., Symp. on Machining Processes, ASME IMECE, MED-11 , pp. 871–878.
Nayfey, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, John Wiley & Sons.

Figures

Grahic Jump Location
Undamped second-order stability solutions showing the 1/2 and 3/2 lobes for a one-half duty cycle
Grahic Jump Location
Comparison of solution approaches for the 1/2 lobe for a one-half duty cycle

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