Optimal control for chatter mitigation in milling-Part 1: Modeling and control design

Control Engineering Practice

Volumn 24, Issue 1, 2014, Pages 156-166

  Monnin, Jérémie ^a   Kuster, Fredy ^b   Wegener, Konrad ^b  

^a Mikron Agie Charmilles AG   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

Active structural method; Mechatronic system; Milling; Optimal control; Regenerative chatter

Indexed keywords

EXPERIMENTAL CONDITIONS; MACHINING CONDITIONS; MECHATRONIC SYSTEMS; MODELING AND CONTROL; OPTIMAL CONTROL STRATEGY; OPTIMAL CONTROLS; REGENERATIVE CHATTERS; STRUCTURAL METHODS;

MILLING (MACHINING);

CONTROL;

EID: 84892550316     PISSN: 09670661     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conengprac.2013.11.010     Document Type: Article

References (60)

1. Altintas Y. Manufacturing automation metal cutting mechanics, machine tool vibrations, and CNC design 2000, Cambridge University Press.
2. Altintas Y., Budak E. Analytical prediction of stability lobes in milling. CIRP Annals-Manufacturing Technology 1995, 44(1):357-362.
3. Altintas Y., Chan P. In-process detection and suppression of chatter in milling. International Journal of Machine Tools and Manufacture 1992, 32(3):329-347.
4. Altintas Y., Lee P. Mechanics and dynamics of ball end milling. Journal of Manufacturing Science and Engineering 1998, 120(4):684-692.
5. Balamurugan S., Alwarsamy T. Machine tool chatter suppression using magneto-rheological fluid damper through artificial neural networks. European Journal of Scientific Research 2011, 59(4):547-560.
6. Bayly P., Halley J., Mann B., Davies M. Stability of interrupted cutting by temporal finite element analysis. Transactions of the ASME, Journal of Manufacturing Science and Engineering 2003, 125(2):220-225.
7. Bayly, P., Mann, B., Schmitz, T., Peters, D., Stépán, G., & Insperger, T. (2002). Effects of radial immersion and cutting direction on chatter instability in end-milling. In Proceedings of IMECE2002, ASME international mechanical engineering congress and exposition, New Orleans, Louisiana.
8. Budak E. An analytical design method for milling cutters with nonconstant pitch to increase stability, part i. Theory. Transactions of the ASME, Journal of Manufacturing Science and Engineering 2003, 125(1):29-34.
9. Budak E. An analytical design method for milling cutters with nonconstant pitch to increase stability, part ii. Application. Transactions of the ASME, Journal of Manufacturing Science and Engineering 2003, 125(1):35-38.
10. Budak E., Altintas Y. Analytical prediction of chatter stability in milling-part I. General formulation. Transactions of the ASME, Journal of Dynamic Systems, Measurement, and Control 1998, 120:22-30.
11. Budak E., Altintas Y. Analytical prediction of chatter stability in milling-part II. Application of the general formulation to common milling systems. Transactions of the ASME, Journal of Dynamic Systems, Measurement, and Control 1998, 120:31-36.
12. Budak E., Tekeli A. Maximizing chatter free material removal rate in milling through optimal selection of axial and radial depth of cut pairs. CIRP Annals-Manufacturing Technology 2005, 54(1):353-356.
13. Chen M., Knospe C. Control approaches to the suppression of machining chatter using active magnetic bearings. IEEE Transactions on Control Systems Technology 2007, 15(2):220-232.
14. Corpus, W., & Endres, W. (2000). A high order solution for the added stability lobes in intermittent machining. In Proceedings of the ASME international mechanical engineering congress and exposition, MED-11 (pp. 871-878).
15. Davies M., Dutterer J., Burns T. The stability of low radial immersion milling. CIRP Annals-Manufacturing Technology 2000, 49(1):37-40.
16. Dohner, J., Hinnerichs, T., Lauffer, J., Kwan, C.-M., Regelbrugge, M., & Shankar, N. (1997). Active chatter control in a milling machine. In SPIE proceedings (Vol. 3044, pp. 281-294). San Diego, CA, USA.
17. Dohner J., Lauffer J., Hinnerichs T., Shankar N., Regelbrugge M., Kwan C.-M., et al. Mitigation of chatter instabilities in milling by active structural control. Journal of Sound and Vibration 2004, 269(1-2):197-211.
18. Doyle J., Glover K., Khargonekar P., Francis B. State-space solutions to standard H2 and H∞ control problems. IEEE Transactions on Automatic Control 1989, 34(8):831-847.
19. Fazelinia H., Olgac N. New perspective in process optimization of variable pitch milling. International Journal of Materials and Product Technology 2009, 35(1-2):47-63.
20. Insperger T., Stépán G. Updated semi-discretization method for periodic delay-differential equations with discrete delay. International Journal for Numerical Methods in Engineering 2004, 61:117-141.
21. Insperger T., Stépán G. Act-and-wait control concept for discrete-time systems with feedback delay. IET Control Theory and Applications 2007, 1(3):553-557.
22. Jayaram S., Kapoor S., Devor R. Analytical stability analysis of variable spindle speed machining. Journal of Manufacturing Science and Engineering 2000, 122(3):391-397.
23. Koenigsberger F., Tlusty J. Machine tool structures 1970, Vol. 1. Pergamon Press.
24. Kwan, C.-M., Xu, H., Lin, C., Haynes, L., Dohner, J., Regelbrugge, M., & Shankar, N. (1997). H ∞ control of chatter in octahedral hexapod machine. In Proceedings of the American control conference (pp. 1015-1016). Albuquerque, NM, USA.
25. Mei C., Cherng J., Wang Y. Active control of regenerative chatter during metal cutting process. Journal of Manufacturing Science and Engineering 2006, 128(1):346-349.
26. Mei D., Kong T., Shih A., Chen Z. Magnetorheological fluid-controlled boring bar for chatter suppression. Journal of Materials Processing Technology 2009, 209(4):1861-1870.
27. Merdol S., Altintas Y. Multi frequency solution of chatter stability for low immersion milling. Transactions of the ASME, Journal of Manufacturing Science and Engineering 2004, 126(3):459-466.
28. Merdol S., Altintas Y. Mechanics and dynamics of serrated cylindrical and tapered end mills. Transactions of the ASME, Journal of Manufacturing Science and Engineering 2004, 126(2):317-326.
29. Merrit H. Theory of self-excited machine-tool chatter, contribution to machine-tool chatter, research-1. Transactions of the ASME, Journal of Engineering for Industry 1965, 87:447-454.
30. Monnin, J., Kuster, F., & Wegener, K. (2013). Optimal control for chatter mitigation in milling-Part 2: Experimental validation. Control Engineering Practice. http://dx.doi.org/10.1016/j.conengprac.2013.11.011.
31. Opitz H., Bernardi F. Investigation and calculation of the chatter behavior of lathes and milling machines. CIRP Annals-Manufacturing Technology 1969, 18(2):335-343.
32. Quintana G., Ciurana J. Chatter in machining processes. A review. International Journal of Machine Tools and Manufacture 2011, 51(5):363-376.
33. Ries, M., & Pankoke, S. (2008). Increasing the stability of the milling process by an active milling spindle. In Proceedings of the 1st international conference on process machine interactions (pp. 95-102). Hannover, Germany.
34. Ries, M., Pankoke, S., & Gebert, K. (2006). Increase of material removal rate with an active HSC milling spindle. In Conference proceedings of the adaptronic congress. Göttingen, Germany.
35. Schneider, K., Monnin, J., & Reinhard, E. (2010). Device for preventing vibrations in a tool spindle, patent number: wo2010020543, February.
36. Segalman D., Redmond J. Chatter suppression through variable impedance and smart fluids. SPIE 1996, 2721:353-363.
37. Seguy S., Insperger T., Arnaud L., Dessein G., Peigné G. On the stability of high-speed milling with spindle speed variation. International Journal of Advance Manufacturing Technology 2010, 48:883-895.
38. Semercigil S., Chen L. Preliminary computations for chatter control in end milling. Journal of Sound and Vibration 2002, 249(3):622-633.
39. Shiraishi M., Yamanaka K., Fujita H. Optimal control of chatter in turning. International Journal of Machine Tools and Manufacture 1991, 31(1):31-43.
40. Sims N. Vibration absorbers for chatter suppression. A new analytical tuning methodology. Journal of Sound and Vibration 2007, 301(3-5):592-607.
41. Sims N., Mann B., Huyanan S. Analytical prediction of chatter stability for variable pitch and variable helix milling tools. Journal of Sound and Vibration 2008, 317(3-5):664-686.
42. Skogestad S., Postlethwaite I. Multivariable feedback control. Analysis and design 2007, Wiley. 2nd ed.
43. Slavicek, J. (1965). The effect of irregular tooth pitch on stability on milling. In Proceedings of the 6th MTDR conference (pp. 15-22). Pergamon Press, London.
44. Sridhar R., Hohn R., Long G. A stability algorithm for the general milling process. Transactions of the ASME, Journal of Engineering for Industry 1968, 90:330-334.
45. Stépán G., Insperger T. Stability of time-period and delayed systems, a route to act-and-wait control. Annual Reviews in Control 2006, 30(2):159-168.
46. Takemura T., Kitamura T., Hoshi T. Active suppression of chatter by programmed variation of spindle speed. CIRP Annals-Manufacturing Technology 1974, 23(1):121-122.
47. Tarng Y., Kao J., Lee E. Chatter suppression in turning operations with a tuned vibration absorber. Journal of Materials Processing Technology 2000, 105:55-60.
48. Tlusty J., Ismail F. Basic non-linearity in machining chatter. CIRP Annals-Manufacturing Technology 1981, 30(1):299-304.
49. Tlusty, J., & Polacek, M. (1957). Beispiele der Behandlung der selbsterregten Schwingungen der Werkzeugmaschinen. In Forschungs- und Konstruktionskolloquium Werkzeugmaschinen und Betriebsweissenschaft (FoKoMa), vol. 3. Vogel-Verlag, Coburg.
50. Tlusty J., Polacek M. The stability of machine tools against self-excited vibration in machining. ASME International Research in Production Engineering 1963, 1:465-474.
51. Tobias S. Machine-tool vibration 1965, John Wiley.
52. Tobias S., Fishwick W. The chatter of lathe tools under orthogonal cutting conditions. Transactions of the ASME 1958, 80:1079-1088.
53. Tobias S., Fishwick W. Theory of regenerative machine tool chatter. The Engineer 1958, 205:199-203.
54. Turner S., Merdol S., Altintas Y., Ridgway K. Modelling of the stability of variable helix end mills. International Journal of Machine Tools and Manufacture 2007, 47(9):1410-1416.
55. van Dijk N., Doppenberg E., Faassen R., van de Wouw N., Oosterling J., Nijmeijer H. Automatic in-process chatter avoidance in the high-speed milling process. Transactions of the ASME, Journal of Dynamic Systems, Measurement, and Control 2010, 132(3):031006-1-031006-14.
56. van Dijk, N., van de Wouw, N., Doppenberg, E., Oosterling, H., & Nijmeijer, H. (2010). Chatter control in the high-speed milling process using μ-synthesis. In Proceedings of the American control conference (pp. 6121-6126). Baltimore, MD, USA.
57. van Dijk N., van de Wouw N., Doppenberg E., Oosterling H., Nijmeijer H. Robust active chatter control in the high-speed milling process. IEEE Transactions on Control Systems Technology 2012, 20(4):901-917.
58. Wang M., Fei R. On-line chatter detection and control in boring based on an electrorheological fluid. Mechatronics 2001, 11:779-792.
59. Yang Y., Munoa J., Altintas Y. Optimization of multiple tuned mass dampers to suppress machine tool chatter. International Journal of Machine Tools and Manufacture 2010, 50:834-842.
60. Zhang H., Jackson M. Stability analysis on spindle speed variation method for machining chatter suppression. International Journal of Machining and Machinability of Materials 2009, 5(1):107-128.