Characterization of machining chattering dynamics: An R/S scaling analysis approach

International Journal of Machine Tools and Manufacture

Volumn 49, Issue 11, 2009, Pages 832-842

  Vela Martínez, Luciano ^a   Jáuregui Correa, Juan Carlos ^a   Álvarez Ramírez, José ^b  

^a Centro de Tecnologia Avanzada Mexico   (Mexico)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Chatter; Hurst exponent; Nonlinear analysis; R S analysis

Indexed keywords

ACCELERATION SIGNALS; ANALYSIS OF SIGNAL; CHAOTIC BEHAVIORS; CHATTER; CONTROL STRATEGIES; CORRELATED DYNAMICS; DYNAMICAL BEHAVIORS; DYNAMICAL INSTABILITIES; FREQUENCY DOMAINS; HIGHLY NONLINEAR; HURST EXPONENT; HURST EXPONENTS; LIMIT CYCLE; MILLING PROCESS; MONITORING SIGNALS; NONLINEAR BEHAVIOR; PERIOD DOUBLING BIFURCATION; PREDICTIVE ANALYSIS; QUASI-PERIODIC; R/S ANALYSIS; RESCALED RANGE ANALYSIS; SCALING ANALYSIS; SELF-EXCITED VIBRATIONS; SENSORS AND ACTUATORS; STABILITY ANALYSIS; SURFACE FINISHING; TIME DOMAIN;

CUTTING TOOLS; DYNAMICS; FREQUENCY DOMAIN ANALYSIS; MILLING (MACHINING); TIME DOMAIN ANALYSIS;

NONLINEAR ANALYSIS;

EID: 67650022869     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmachtools.2009.05.010     Document Type: Article

References (45)

1. Vela-Martínez L., Jáuregui-Correa J.C., Rubio-Cerda E., Herrera-Ruiz G., and Lozano-Guzmán A. Analysis of compliance between the cutting tool and the workpiece on the stability of a turning process. International Journal of Machine Tools and Manufacture 48 9 (2008) 1054-1062
2. Taylor F. On the art of cutting metals. Transactions of the ASME 28 (1907) 31-350
3. Arnold R.N. The mechanism of tool vibration in the cutting of steel. Proceedings of the Institution of Mechanical Engineers 154 (1946) 261-284
4. S.A. Tobias, W. Fishwick, A Theory of Regenerative Chatter, The Engineer, London, 1958.
5. 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
6. Merrit H.E. Theory of self-excited machine-tool chatter. Transactions of the ASME-Journal of Engineering for Industry 87 4 (1965) 447-454
7. Wu D.W., and Liu C.R. An analytical model of cutting dynamics. Part 1: model building. Transactions of the ASME Journal of Engineering for Industry 107 (1985) 107-111
8. Wu D.W., and Liu C.R. An analytical model of cutting dynamics. Part 2: verification. Transactions of the ASME-Journal of Engineering for Industry 107 (1985) 112-118
9. Altintas Y. Manufacturing Automation, Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design (2000), Cambridge University Press, New York
10. Budak E., and Altintas Y. Analytical prediction of chatter stability in milling-part I: general formulation. Transactions of the ASME-Journal of Dynamic Systems, Measurement and Control 120 (1998) 22-30
11. Budak E., and 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 120 (1998) 31-36
12. Hanna N.H., and Tobias S.A. A theory of nonlinear regenerative chatter. Transactions of the ASME-Journal of Engineering for Industry 96 (1974) 247-255
13. J.R. Pratt, Vibration control for chatter suppression; Ph D. Thesis, Virginia Polytechnic Institute and State University (1997).
14. Wiercigroch M., and Budak E. Sources of nonlinearities, chatter generation and suppression in metal cutting. Philosophical Transactions of the Royal Society of London 359 (2001) 663-693
15. Stépán G., Szalai R., and Insperger T. Nonlinear dynamics of high-speed milling subjected to regenerative effect. In: Radons G. (Ed). Nonlinear Dynamics of Production Systems (2003), Wiley-VCH, New York
16. Stépán G., Szalai R., Mann B.P., Bayly P.V., Insperger T., Gradisek J., and Govekar E. Nonlinear dynamics of high-speed milling-analyses, numerics and experiments. ASME-Journal of Vibration and Acoustics 127 (2005) 197-203
17. Stépán G., Insperger T., and Szalai R. Delay, parametric excitation, and the nonlinear dynamics of cutting processes. International Journal of Bifurcation and Chaos 15 9 (2005) 2783-2798
18. Faassen R.P.H., Wouw van de N., Oosterling J.A.J., 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
19. Insperger T., and Stépán G. Semi-discretization method for delayed systems. International Journal of Numerical Methods in Engineering 55 5 (2002) 503-518
20. Insperger T., and Stépán G. Updated semi-discretization method for periodic delay-differential equations with discrete delay. International Journal for Numerical Methods in Engineering 61 (2004) 117-141
21. Gradisek J., Kalveram M., Insperger T., Weiner K., Stépán G., Govekar E., and Grabec I. On stability prediction for milling. International Journal of Machine Tools and Manufacture 45 7-8 (2005) 769-781
22. P.V. Bayly, B.P. Mann, G. Stépán, T. Insperger, 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, 17-22 November 2002.
23. 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-Transactions of the ASME 125 2 (2003) 220-225
24. 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
25. Davies M.A., Pratt J.R., Dutterer B., and Burns T.J. Stability prediction of low radial immersion milling. Journal of Manufacturing Science and Engineering-Transactions of the ASME 124 2 (2002) 217-225
26. Gradisek J. Chatter onset in non-regenerative cutting: a numerical study. Journal of Sound and Vibration 242 5 (2001) 829-838
27. Gradisek J., Kalveram M., Insperger T., Weiner K., Stépán G., Govekar E., and Grabec I. On stability prediction for milling. International Journal of Machine Tools and Manufacture 45 7-8 (2005) 769-781
28. Fofana M.S. Effect of regenerative process on the sample stability of a multiple delay differential equation. Chaos, Solitons and Fractals 14 2 (2002) 301-309
29. Fofana M.S. Aspects of stable and unstable machining by Hopf bifurcation. Applied Mathematical Modelling 26 10 (2002) 953-973
30. Schmitz T.L. Chatter recognition by a statistical evaluation of the synchronously sampled audio signal. Journal of Sound and Vibration 262 3 (2003) 721-730
31. Yoon M.C., and Chin D.H. Cutting force monitoring in the endmilling operation for chatter detection. Proceedings of the Institution of Mechanical Engineers 219 6 (2005) 455-465
32. González-Brambila O., Rubio E., Jáuregui J.C., and Herrera-Ruiz G. Chattering detection in cylindrical grinding processes using wavelet transform. International Journal of Machine Tools and Manufacture 46 15 (2006) 1934-1938
33. Hurst H.E., Black R.P., and Simaika Y.M. Long-Term Storage: An Experimental Study (1965), Constable, London
34. Mandelbrot B.B., and Wallis J.R. Computer experiments with fractal noises. Water Resources Research 5 (1969) 228-240
35. Peters E.E. Chaos and Order in the Capital Markets. Second ed. (1996), Wiley, New York
36. Qian B., and Rasheed K. Hurst exponent and financial market predictability. In: Hamza M.H. (Ed). Financial and Engineering Applications (2004), MIT Cambridge, USA 437
37. Alvarez-Ramirez J., Cisneros M., Ibarra-Valdez C., and Soriano A. Multifractal hurst analysis of crude oil prices. Physica A: Statistical Mechanics and its Applications 313 3-4 (2002) 651-670
38. Alvarez-Ramirez J. Characteristic time scales in the American dollar-Mexican peso exchange currency market. Physica A: Statistical Mechanics and its Applications 309 1-2 (2002) 157-170
39. Tomsett A.C., and Toumi R. Annual persistence in observed and modelled UK precipitation. Geophysical Researh Letters 28 (2001) 3891-3894
40. Churilla A.M., Gottschalk W.A., Liebovitch L.S., Selector L.Y.T., Todorov A.L., and Yeandle Y. Membrane potential fluctuations of human T-lymphocytes have fractal characteristics of fractional Brownian motion. Annals of Biomedical Engineering 24 (1996) 108-116
41. P.V. Bayly, B.P. Mann, T.L. Schmitz, D.A. Peters, G. Stépán, T. Insperger, Effects of radial immersion and cutting direction on chatter instability in end-milling, in: Proceedings of ASME International Mechanical Engineering Conference and Exposition, New Orleans, LA, 2002, paper no. IMECE2002-34116 (CD-ROM).
42. Altintas Y., Engin S., and Budak E. Analytical stability prediction and design of variable pitch cutters. Journal of Manufacturing Science and Engineering 121 (1999) 173-178
43. R. Szalai, G. Stépán, Stability boundaries of high-speed milling corresponding to period doubling are essentially closed curves, in: Proceedings of ASME International Mechanical Engineering Conference and Exposition, Washington, DC, paper no. IMECE2003-42122 2003 (CD-ROM).
44. Insperger T., Stépán G., Bayly P.V., and Mann B.P. Multiple chatter frequencies in milling processes. Journal of Sound and Vibration 262 (2003) 333-345
45. Farkas M. Periodic Motions (1994), Springer, New York