On-Line Chatter Detection Using Wavelet-Based Parameter Estimation

[+] Author and Article Information
Taejun Choi

Graduate Research Assistant

Yung C. Shin

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Manuf. Sci. Eng 125(1), 21-28 (Mar 04, 2003) (8 pages) doi:10.1115/1.1531113 History: Received October 01, 2000; Revised February 01, 2002; Online March 04, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Tlusty,  J., and Andrews,  G., 1983, “A Critical Review of Sensors for Unmanned Machining,” CIRP Ann., 32(2), pp. 563–571.
Delio,  T., Tlusty,  J., and Smith,  S., 1992, “Use of Audio Signals for Chatter Detection and Control,” ASME J. Ind., 114, pp. 146–157.
Braun,  S., 1975, “Signal Processing for the Determination of Chatter Threshold,” CIRP Ann., 24(1), pp. 315–320.
Rahman,  M., 1988, “In-Process Detection of Chatter Threshold,” ASME J. Ind., 110, pp. 44–50.
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.
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.
Grabec,  I., 1988, “Chaotic Dynamics of the Cutting Process,” Int. J. Mach. Tools Manuf., 28(1), pp. 19–32.
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.
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.
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.
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.
Wornell,  G. W., 1990, “A Karhunen-Loeve-like Expansion for 1/f Processes via Wavelets,” IEEE Trans. Inf. Theory 36(4), pp. 859–861.
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.
Wornell, G. W., 1996, Signal Processing with Fractals; A Wavelet-based Approach, Prentice Hall, Upper Saddle River, NJ.
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.
Laird,  N. M., 1982, “Computation of Variance Components using the EM Algorithm,” J. Stat. Comput. Simul., 14(3–4), pp. 295–303.
Papoulis, A., 1991, Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.
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.
Daubechies, I., 1992, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, PA.
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.
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.


Grahic Jump Location
Test points to determine the critical depth of cut at 680 rpm
Grahic Jump Location
FFT plots of x-force signals and estimation of γ at the critical points (•: estimation point)
Grahic Jump Location
Conventional turning with the same setup as in Fig. 2 (•:estimation point)
Grahic Jump Location
Acceleration signals and corresponding chatter indexes. Conventional turning with the 45 deg tool, a spindle speed of 1250 rpm and a feed of 0.0965 mm/rev. (a) depth of cut=1.62 mm (b) depth of cut=2.49 mm (•: estimation point).
Grahic Jump Location
A comparison of wavelet coefficients between stable and unstable turning processes
Grahic Jump Location
Experimental test points (Range 1900–2700 rpm)
Grahic Jump Location
FFT plots of x-force signals and estimation of γ to validate the selected threshold (•: estimation point)
Grahic Jump Location
X-force signals and estimated γ values at test point EE, Y and Z (•: estimation point)
Grahic Jump Location
Flow chart for implementing the applied algorithm
Grahic Jump Location
(a) Vibration signal under stable cut (b) histogram of the signal and Gaussian probability density function (pdf) with the same mean and standard deviation as in the cutting signal (mean: −0.0382, standard deviation: 2.21)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In