Time series analysis in metal cutting: Chatter versus chatter-free cutting

Mechanical Systems and Signal Processing

Volumn 12, Issue 6, 1998, Pages 839-854

  Gradisek J ^a   Govekar, E ^a   Grabec, I ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CORRELATION METHODS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

CHATTER DETECTION; CHATTER-FREE CUTTING;

METAL CUTTING;

EID: 0032205373     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1998.0174     Document Type: Article

References (39)

1. E. OTT 1993 Chaos in Dynamical Systems. Cambridge: Cambridge University Press.
2. H. D. I. ABARBANEL 1995 Analysis of Observed Chaotic Data. New York: Springer Verlag.
3. J.-P. ECKMANN and D. RUELLE 1992 Physica D56, 185-187. Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems.
4. J. THEILER 1995 Physics Letters A 196, 335-341. On the evidence for low-dimensional chaos in an epileptic electroencephalogram.
5. M. PALUŠ 1996 Biological Cybernetics 75, 389-396. Nonlinearity in normal human EEG: cycles, temporal asymmetry, nonstationarity and randomness, not chaos.
6. J. THEILER, S. EUBANK, A. LONGTIN, B. GALDRIKIAN and J. D. FARMER 1992 Physica D 58, 77-94. Testing for non-linearity in time series: the method of surrogate data.
7. M. PALUŠ 1995 Physica D 80, 186-205. Testing for nonlinearity using redundancies: quantitative a nd qualitative aspects.
8. P. GRASSBERGER, R. HEGGER, H. KANTZ, C. SCHAFFRATH and T. SCHREIBER 1993 Chaos 3, 127-141. On noise reduction methods for chaotic data.
9. M. PALUŠ 1996 Physica D 93, 64-77. Coarse-grained entropy rates for characterization of complex time series.
10. S. A. TOBIAS 1965 Machine Tool Vibration. Blackie & Son, Ltd.
11. I. GRABEC 1986 Physics Letters 117, 384-386. Chaos generated by the cutting process.
12. G. STÉPÁN 1989 Retarded Dynamical Systems: Stability and Characteristic Functions. Longman Scientific & Technical.
13. J. S. LIN and C. I. WENG 1991 International Journal of Mechanical Science 33, 645-657. Nonlinear dynamics of the cutting process.
14. J. GRADIŠEK, E. GOVEKAR and I. GRABEC 1996 International Journal of Machine Tools and Manufacture 36, 1161-1172.
15. M. A. JOHNSON 1996 Nonlinear differential equations with delay as models for vibrations in the machining of metals. PhD thesis, Cornell University, Ithaca, New York, U.S.A.
16. T. J. BURNS and M. A. DAVIES 1997 Physical Review Letters 79, 447-450. Nonlinear dynamics model for chip segmentation in machining.
17. B. S. BERGER, I. MINIS and M. ROKNI 1992 Journal of Sound and Vibration 156, 165-169. Metal cutting dynamics: An experimental numerical study.
18. E. GOVEKAR and I. GRABEC 1994 In Progress in Acoustic Emission, vol. VII, pp. 613-618, Characterization of chaotic vibrations of a turning process.
19. S. T. S. BUKKAPATNAM, A. LAKHTAKIA and S. R. T. KUMARA 1995 Physical Review E 52, 2375-2387. Analysis of sensor signals shows a turning process on a lathe exhibits low-dimensional chaos.
20. B. S. BERGER, I. MINIS, Y. H. CHEN, A. CHAVALI and M. ROKNI 1995 Journal of Sound and Vibration 184, 936-942. Attractor embedding in metal cutting.
21. B. S. BERGER, I. MINIS, K. DENG, Y. S. CHEN, A. CHAVALI and M. ROKNI 1996 Journal of Sound and Vibration 191, 976-985. Phase coupling in orthogonal cutting.
22. B. S. BERGER, I. MINIS, M. ROKNI, M. PAPADOPOULOS, K. DENG and A. CHAVALI 1997 Journal of Sound and Vibration 200, 15-29. Cutting state identification.
23. J. GRADIŠEK 1997 Application of chaotic dynamics methods to technical processes analysis. M.Sc. thesis M 110/1017, Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia (in Slovene).
24. J. GRADIŠEK, E. GOVEKAR and I. GRABEC 1998 Journal of Sound and Vibration, Vol. 214, 941-952. Using coarse-grained entropy rate to detect chatter in cutting.
25. X. Q. LI, Y. S. WONG and A. Y. C. NEE 1997 International Journal of Machine Tools and Manufacture 37, 425-435. Tool wear and chatter detection using the coherence function of two crossed accelerations.
26. Y. WU and R. LIU 1996 Mechanical Systems and Signal Processing 10, 29-53. Feature extraction and assessment using wavelet packets for monitoring of machining processes.
27. M. N. HAMDAN and A. E. BAYOUMI 1989 Journal of Sound and Vibration 128, 451-469. An approach to study the effects of tool geometry on the primary chatter vibration in orthogonal cutting.
28. M. B. KENNEL, R. BROWN and H. D. I. ABARBANEL 1992 Physical Review A 45, 3403-3411. Determining embedding dimension for phase-space reconstruction using a geometrical construction.
29. M. B. KENNEL and H. D. I. ABARBANEL 1995 ftp://yapunov.ucsd.edupub/nonlinear. False neighbors and false strands: A reliable minimum embedding dimension algorithm.
30. J. THEILER 1990 Journal of Optical Society of America A 7, 1055-1073. Estimating fractal dimension.
31. M. PALUŠ 1997 Physics Letters A 227, 301-308. On entropy rates of dynamical systems and Gaussian processes.
32. J. THEILER, P. S. LINSAY and D. M. RUBIN 1993 In SFI Studies in the Sciences of Complexity, vol. XV pp. 429-455 Addison-Wesley. Detecting nonlinearity in data with long coherence times.
33. T. SCHREIBER and A. SCHMITZ 1996 Physical Review Letters 77, 635-638. Improved surrogate data for nonlinearity tests.
34. C. S. DAW, M. B. KENNEL, C. E. A. FINNEY and F. T. CONNOLLY 1998 Physical Review E 57, 2811-2819. Observing and modeling nonlinear dynamics in an internal combusion engine.
35. G. ADILETTA, A. R. GUIDO and C. ROSSI 1996 Nonlinear Dynamics 10, 251-269. Chaotic motions of a rigid rotor in short journal bearings.
36. F. C. MOON (ed.), 1997 Dynamics and Chaos in Manufacturing Processes. John Wiley.
37. E. SOLIMAN and F. ISMAIL 1997 International Journal of Machine Tools and Manufacture 37, 355-369. Chatter suppression by adaptive speed modulation.
38. T. DELIO, J. TLUSTY and S. SMITH 1992 ASME Journal of Engineering for Industry 114, 146-157. Use of audio signals for chatter detection and control.
39. I. N. TANSEL 1992 International Journal of Machine Tools and Manufacture 32, 811-827. The chaotic characteristics of three dimensional cutting.