TIME SERIES ANALYSIS IN METAL CUTTING : CHATTER VERSUS CHATTER-FREE CUTTING

Abstract Time series of cutting force under two different regimes of turning on a lathe were analysed. With an increase of cutting depth the cutting regime was changed from chatter-free cutting to one with chatter. Using three different surrogate data tests, the dynamics of chatter-free cutting were found to be consistent with a linearly correlated random process, whereas the dynamics of chatter could be explained by a low-dimensional, presumably weakly chaotic process. The differences in the dynamics of the two cutting regimes were exploited successfully for the purpose of chatter detection.

[1]  H. Abarbanel,et al.  Determining embedding dimension for phase-space reconstruction using a geometrical construction. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[2]  C. Finney,et al.  Observing and modeling nonlinear dynamics in an internal combustion engine , 1998 .

[3]  Francis C. Moon,et al.  Dynamics and chaos in manufacturing processes , 1998 .

[4]  James Theiler,et al.  Detecting Nonlinearity in Data with Long Coherence Times , 1993, comp-gas/9302003.

[5]  Edvard Govekar,et al.  Using Coarse-Grained Entropy Rate to Detect Chatter in Cutting , 1998 .

[6]  Ruxu Du,et al.  FEATURE EXTRACTION AND ASSESSMENT USING WAVELET PACKETS FOR MONITORING OF MACHINING PROCESSES , 1996 .

[7]  D. Ruelle,et al.  Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems , 1992 .

[8]  Schreiber,et al.  Improved Surrogate Data for Nonlinearity Tests. , 1996, Physical review letters.

[9]  James Theiler,et al.  Testing for nonlinearity in time series: the method of surrogate data , 1992 .

[10]  G. Stépán.  Retarded dynamical systems : stability and characteristic functions , 1989 .

[11]  Andrew Y. C. Nee,et al.  Tool wear and chatter detection using the coherence function of two crossed accelerations , 1997 .

[12]  Matthew A. Davies,et al.  NONLINEAR DYNAMICS MODEL FOR CHIP SEGMENTATION IN MACHINING , 1997 .

[13]  Ioannis Minis,et al.  Attractor embedding in metal cutting , 1995 .

[14]  G. Adiletta,et al.  Chaotic motions of a rigid rotor in short journal bearings , 1996 .

[15]  Barry N. Lewendon,et al.  Machine Tool Vibration , 1981, Other Conferences.

[16]  Ibrahim N. Tansel,et al.  The chaotic characteristics of three dimensional cutting , 1992 .

[17]  Igor Grabec,et al.  Chaos generated by the cutting process , 1986 .

[18]  James Theiler,et al.  Estimating fractal dimension , 1990 .

[19]  Ioannis Minis,et al.  Metal cutting dynamics : an experimental numerical-study , 1992 .

[20]  B. S. Berger,et al.  Phase coupling in orthogonal cutting , 1996 .

[21]  M. N. Hamdan,et al.  An approach to study the effects of tool geometry on the primary chatter vibration in orthogonal cutting , 1989 .

[22]  P. Grassberger,et al.  On noise reduction methods for chaotic data. , 1993, Chaos.

[23]  Milan Palus,et al.  Coarse-grained entropy rates for characterization of complex time series , 1996 .

[24]  Fathy Ismail,et al.  Chatter suppression by adaptive speed modulation , 1997 .

[25]  M. Paluš.  ON ENTROPY RATES OF DYNAMICAL SYSTEMS AND GAUSSIAN PROCESSES , 1997 .

[26]  J. S. Lin,et al.  Nonlinear dynamics of the cutting process , 1991 .

[27]  Milan PALUS.  Testing For Nonlinearity Using Redundancies: Quantitative and Qualitative Aspects , 1994 .

[28]  James Theiler,et al.  On the evidence for how-dimensional chaos in an epileptic electroencephalogram , 1995 .

[29]  JOURNAL OF SOUND AND VIBRATION , 1998 .

[30]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[31]  Milan Palus,et al.  Nonlinearity in normal human EEG: cycles, temporal asymmetry, nonstationarity and randomness, not chaos , 1996, Biological Cybernetics.

[32]  S. Smith,et al.  Use of Audio Signals for Chatter Detection and Control , 1992 .