A new method for on-line chatter detection is presented. The proposed method characterizes the significant transition from high dimensional to low dimensional dynamics in the cutting process at the onset of chatter. Based on the observation that cutting signals contain fractal patterns, a wavelet-based maximum likelihood (ML) estimation algorithm is applied to on-line chatter detection. The presented chatter detection index γ is independent of the cutting conditions and gives excellent detection accuracy and permissible computational efficiency, which makes it suitable for on-line implementation. The validity of the proposed method is demonstrated through the tests with extensive actual data obtained from turning and milling processes.
Issue Section:
Technical Papers
1.
Tlusty
, J.
, and Andrews
, G.
, 1983
, “A Critical Review of Sensors for Unmanned Machining
,” CIRP Ann.
, 32
(2
), pp. 563
–571
.2.
Delio
, T.
, Tlusty
, J.
, and Smith
, S.
, 1992
, “Use of Audio Signals for Chatter Detection and Control
,” ASME J. Ind.
, 114
, pp. 146
–157
.3.
Braun
, S.
, 1975
, “Signal Processing for the Determination of Chatter Threshold
,” CIRP Ann.
, 24
(1
), pp. 315
–320
.4.
Rahman
, M.
, 1988
, “In-Process Detection of Chatter Threshold
,” ASME J. Ind.
, 110
, pp. 44
–50
.5.
Li
, X. Q.
, Wong
, Y. S.
, and Nee
, A. Y. C.
, 1998
, “A Comprehensive Identification of Tool Failure and Chatter using a Parallel Multi-ART2 Neural Network
,” ASME J. Manuf. Sci. Eng.
, 120
, pp. 433
–442
.6.
Li
, X. Q.
, Wong
, Y. S.
, and Nee
, A. Y. C.
, 1997
, “Tool Wear and Chatter Detection Using the Coherence Function of Two Crossed Accelerations
,” Int. J. Mach. Tools Manuf.
, 37
(4
), pp. 425
–435
.7.
Grabec
, I.
, 1988
, “Chaotic Dynamics of the Cutting Process
,” Int. J. Mach. Tools Manuf.
, 28
(1
), pp. 19
–32
.8.
Gradisek
, J.
, Govekar
, E.
, and Grabec
, I.
, 1998
, “Using Coarse-grained Entropy Rate to Detect Chatter in Cutting
,” J. Sound Vib.
, 214
(5
), pp. 941
–952
.9.
Bukkapatnam, S. T. S., Lakhtakia, A., Kumara, S. R. T., and Satapathy, G., 1995, “Characterization of Nonlinearity of Cutting Tool Vibrations and Chatter,” Proceedings of the ASME Materials Division, 69(2), pp. 1207–1223.
10.
Berger
, B. S.
, Minis
, I.
, Harley
, J.
, Rokni
, M.
, and Papadopoulos
, M.
, 1998
, “Wavelet-based Cutting State Identification
,” J. Sound Vib.
, 213
(5
), pp. 813
–827
.11.
Khraisheh
, M. K.
, Pezeshki
, C.
, and Bayoumi
, A. E.
, 1995
, “Time Series-Based Analysis for Primary Chatter In Metal Cutting
,” J. Sound Vib.
, 180
, pp. 67
–87
.12.
Wornell
, G. W.
, 1990
, “A Karhunen-Loeve-like Expansion for 1/f Processes via Wavelets
,” IEEE Trans. Inf. Theory
36
(4
), pp. 859
–861
.13.
Wornell
, G. W.
, and Oppenheim
, A. V.
, 1992
, “Estimation of Fractal Signals from Noisy Measurements using Wavelets
,” IEEE Trans. Signal Process.
, 40
(3
), pp. 611
–623
.14.
Wornell, G. W., 1996, Signal Processing with Fractals; A Wavelet-based Approach, Prentice Hall, Upper Saddle River, NJ.
15.
Jiang
, J. D.
, Chen
, J.
, and Qu
, L. S.
, 1999
, “The Application of Correlation Dimension in Gear Box Condition Monitoring
,” J. Sound Vib.
, 223
(4
), pp. 529
–541
.16.
Laird
, N. M.
, 1982
, “Computation of Variance Components using the EM Algorithm
,” J. Stat. Comput. Simul.
, 14
(3–4
), pp. 295
–303
.17.
Papoulis, A., 1991, Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.
18.
Rao
, B. C.
, and Shin
, Y. C.
, 1999
, “A Comprehensive Dynamic Cutting Force Model for Chatter Prediction in Turning
,” Int. J. Mach. Tools Manuf.
, 39
, pp. 1631
–1654
.19.
Daubechies, I., 1992, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, PA.
20.
Jensen
, S. A.
, and Shin
, Y. C.
, 1999
, “Stability Analysis in Face Milling Operation: Part 1-Theory for Stability Lobe Prediction
,” ASME J. Manuf. Sci. Eng.
, 21
(4
), pp. 600
–605
.21.
Jensen
, S. A.
, and Shin
, Y. C.
, 1999
, “Stability Analysis in Face Milling Operation: Part 2-Experimental Validation and Influencing Factors
,” ASME J. Manuf. Sci. Eng.
, 21
(4
), pp. 606
–614
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