Uncharted islands of chatter instability in milling

International Journal of Machine Tools and Manufacture

Volumn 48, Issue 1, 2008, Pages 124-134

  Patel, B R ^a   Mann, B P ^b   Young, K A ^c  

^a University of Missouri   (United States)

^b Duke University   (United States)

^c BOEING COMPANY   (United States)

Author keywords

Chatter vibration; Delay differential equations; Islands; Milling; Stability lobes

Indexed keywords

ASYMPTOTIC ANALYSIS; CUTTING; CUTTING TOOLS; FINITE ELEMENT METHOD; MACHINE TOOLS; MATHEMATICAL MODELS; VIBRATIONS (MECHANICAL);

CHATTER INSTABILITY IN MILLINGS; CHATTER VIBRATIONS; DELAY DIFFERENTIAL EQUATIONS; ISOLATED ISLANDS;

MILLING (MACHINING);

EID: 35348883389     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmachtools.2007.06.009     Document Type: Article

References (38)

1. Tlusty J. Manufacturing Processes and Equipment. first ed. (2000), Prentice-Hall, Upper Saddle River, NJ
2. Mann B.P., Bayly P.V., Davies M.A., and Halley J.E. Limit cycles, bifurcations, and accuracy of the milling process. Journal of Sound and Vibration 277 (2004) 31-48
3. Altintas Y. Manufacturing Automation. first ed. (2000), Cambridge University Press, New York, NY
4. Faassen R.P., Wouw N.V., Oosterling J.A., and Nijmeijer H. Prediction of regenerative chatter by modeling and analysis of high-speed milling. International Journal of Machine Tools and Manufacture 43 14 (2003) 1437-1446
5. Sims N.D. The self-excitation damping ratio: a chatter criterion for time domain simulations. Journal of Manufacturing Science and Engineering 127 (2005) 433-445
6. Mann B.P., and Young K.A. An empirical approach for delayed oscillator stability and parametric identification. Proceedings of the Royal Society A 462 (2006) 2145-2160
7. Smith S., and Tlusty J. An overview of the modeling and simulation of the milling process. Journal of Engineering for Industry 113 (1991) 169-175
8. Davies M.A., Pratt J.R., Dutterer B., and Burns T.J. Stability prediction for low radial immersion milling. Journal of Manufacturing Science and Engineering 124 2 (2002) 217-225
9. Zatarain M., Munoa J., Peigné G., and Insperger T. Analysis of the influence of mill helix angle on chatter stability. Annals of the CIRP 55 (2006) 365-368
10. Tlusty J., and Polacek M. The stability of machine tools against self-excited vibrations in machining. ASME International Research in Production Engineering (1963) 465-474
11. Tobias S.A. Machine Tool Vibration (1965), Blackie, London
12. S.A. Tobias, W. Fishwick, A Theory of Regenerative Chatter, 1958.
13. Merritt H. Theory of self excited machine tool chatter. Journal of Engineering for industry 87 4 (1965) 447-454
14. Minis I., and Yanushevsky R. A new theoretical approach for prediction of machine tool chatter in milling. Journal of Engineering for Industry 115 (1993) 1-8
15. Balachandran B. Non-linear dynamics of milling process. Philosophical Transactions of the Royal Society of London A 359 (2001) 793-819
16. Davies M., and Balachandran B. Impact dynamics in milling of thin-walled structures. Nonlinear Dynamics 22 (2001) 375-392
17. Tlusty J., and Ismail F. Basic nonlinearity in machining chatter. Annals of the CIRP 30 (1981) 21-25
18. Tlusty J., and Ismail F. Special aspects of chatter in milling. Journal of Vibration, Acoustics, Stress, and Reliability in Design 105 (1983) 24-32
19. Stépán G. Modelling nonlinear regenerative effects in metal cutting. Philosophical Transactions of the Royal Society of London A 359 (2001) 739-757
20. Mann B.P., Garg N.K., Young K.A., and Helvey A.M. Milling bifurcations from structural asymmetry and nonlinear regeneration. Nonlinear Dynamics 42 4 (2005) 319-337
21. Hanna N.H., and Tobias S.A. A theory of nonlinear regenerative chatter. Journal of Engineering for Industry 96 (1974) 247-255
22. Wiercigroch M., and Budak E. Sources of nonlinearities chatter generation and suppression in metal cutting. Philosophical Transactions of the Royal Society of London A 359 (2001) 663-693
23. Davies M., and Burns T. Thermomechanical oscillations in material flow during high-speed machining. Philosophical Transactions of the Royal Society of London A 359 (2001) 821-846
24. Grabec I. Chaotic dynamics of the cutting process. International Journal of Machine Tools and Manufacture 28 (1988) 19-32
25. W.T. Corpus, W.J. Endres, A high order solution for the added stability lobes in intermittent machining, in: Proceedings of the Symposium on Machining Processes, no. MED-11, 2000, pp. 871-878.
26. Bayly P.V., Halley J.E., Mann B.P., and Davies M.A. Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering 125 (2003) 220-225
27. Insperger T., Mann B.P., Stépán G., and Bayly P.V. Stability of up-milling and down-milling, part 1: alternative analytical methods. International Journal of Machine Tools and Manufacture 43 (2003) 25-34
28. Mann B.P., Insperger T., Bayly P.V., and Stépán G. Stability of up-milling and down-milling, part 2: experimental verification. International Journal of Machine Tools and Manufacture 43 (2003) 35-40
29. Szalai R., and Stépán G. Lobes and lenses in interrupted turning. Journal of Computational and Nonlinear Dynamics 1 3 (2006) 205-211
30. Mann B.P., Young K.A., Schmitz T.L., and Dilley D.N. Simultaneous stability and surface location error predictions in milling. Journal of Manufacturing Science and Engineering 127 (2005) 446-453
31. Smith S. Flexures: Elements of Elastic Mechanisms (2000), Taylor and Francis, Inc., London
32. Martellotti M.E. An analysis of the milling process. Transactions of the ASME 63 (1941) 677-700
33. Martellotti M.E. An analysis of the milling process, part ii: down milling. Transactions of the ASME 67 (1945) 233-251
34. J.E. Halley, Stability of low radial immersion milling, Master's Thesis, Washington University, Saint Louis, 1999.
35. Mann B.P., and Young K.A. An empirical approach for delayed oscillator stability and parametric identification. Proceedings of the Royal Society A 462 (2006) 2145-2160
36. Reddy J.N. An Introduction to the Finite Element Method. second ed. (1993), McGraw-Hill, Inc., New York, NY
37. Virgin L.N. Introduction to Experimental Nonlinear Dynamics (2000), Cambridge University Press, Cambridge, UK
38. Abarbanel H.D. Analysis of Observed Chaotic Data (1996), Institute for Nonlinear Science, Springer, New York, NY