Skip to main content

Advertisement

Log in

Zoom synchrosqueezing transform-based chatter identification in the milling process

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Self-excited chatter vibration is one of the most unexpected phenomena during the milling operation, which is always combined with time-varying and non-stationary characteristics. This paper presents a milling chatter detection approach combined with the time-frequency analysis (TFA) method and instantaneous frequency and energy aggregation characteristics of the chatter vibration in the milling process. A zoom synchrosqueezing transform (ZST)-based chatter identification approach and several chatter identification indicators are constructed for milling chatter identification. The TFA method ZST is used to characterize the time-varying and non-stationary characteristics of the chatter vibration. The zoom strategy is used to improve the time-frequency resolution and energy concentration of the obtained time-frequency distribution. From an energy aggregation characteristic perspective, 13 instantaneous frequency domain statistic indicators and an instantaneous energy ratio indicator based on the time-frequency distribution obtained by ZST are developed for milling chatter identification. Four groups of cutting tests with both end milling and peripheral milling are conducted to validate the effectiveness of the developed chatter identification indicators, and results show that the developed chatter identification indicators can effectively identify chatter in the milling process and are insensitive to the cutting parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Quintana G, Ciurana J (2011) Chatter in machining processes: a review. Int J Mach Tools Manuf 51(5):363–376

    Article  Google Scholar 

  2. Cao H, Zhang X, Chen X (2017) The concept and progress of intelligent spindles: a review. Int J Mach Tools Manuf 112:21–52

    Article  Google Scholar 

  3. Budak E, Altintas Y (1998) Analytical prediction of chatter stability in milling—part I: general formulation. J Dyn Syst Meas Control 120(1):22–30

    Article  Google Scholar 

  4. Budak E, Altintas Y (1998) Analytical prediction of chatter stability in milling—part II: application of the general formulation to common milling systems. J Dyn Syst Meas Control 120(1):31–36

    Article  Google Scholar 

  5. Altintas Y, Weck M (2004) Chatter stability of metal cutting and grinding. CIRP Ann Manuf Technol 53(2):619–642

    Article  Google Scholar 

  6. Insperger T, Stépán G (2002) Semi-discretization method for delayed systems. Int J Numer Methods Eng 55(5):503–518

    Article  MathSciNet  MATH  Google Scholar 

  7. Insperger T, Stépán G (2004) Updated semi-discretization method for periodic delay-differential equations with discrete delay. Int J Numer Methods Eng 61(1):117–141

    Article  MathSciNet  MATH  Google Scholar 

  8. Insperger T, Stépán G, Turi J (2008) On the higher-order semi-discretizations for periodic delayed systems. J Sound Vib 313(1–2):334–341

    Article  Google Scholar 

  9. Ding Y, Zhu L, Zhang X, Ding H (2010) A full-discretization method for prediction of milling stability. Int J Mach Tools Manuf 50(5):502–509

    Article  Google Scholar 

  10. Wang L, Liang M (2009) Chatter detection based on probability distribution of wavelet modulus maxima. Robot Comput Integr Manuf 25(6):989–998

    Article  Google Scholar 

  11. Cao H, Yue Y, Chen X, Zhang X (2017) Chatter detection based on synchrosqueezing transform and statistical indicators in milling process. Int J Adv Manuf Technol:1–12

  12. Zhang Z, Li H, Meng G, Tu X, Cheng C (2016) Chatter detection in milling process based on the energy entropy of VMD and WPD. Int J Mach Tools Manuf 108:106–112

    Article  Google Scholar 

  13. Cao H, Zhou K, Chen X, Zhang X (2017) Early chatter detection in end milling based on multi-feature fusion and 3σ criterion. Int J Adv Manuf Technol 92(9–12):4387–4397

    Article  Google Scholar 

  14. van Dijk NJ, van de Wouw N, Doppenberg EJ, Oosterling HA, Nijmeijer H (2012) Robust active chatter control in the high-speed milling process. IEEE Trans Control Syst Technol 20(4):901–917

    Article  Google Scholar 

  15. Wang C, Zhang X, Liu Y, Cao H, Chen X (2018) Stiffness variation method for milling chatter suppression via piezoelectric stack actuators. Int J Mach Tools Manuf 124:53–66

    Article  Google Scholar 

  16. Kuljanic E, Sortino M, Totis G (2008) Multisensor approaches for chatter detection in milling. J Sound Vib 312(4):672–693

    Article  Google Scholar 

  17. Marinescu I, Axinte DA (2011) An automated monitoring solution for avoiding an increased number of surface anomalies during milling of aerospace alloys. Int J Mach Tools Manuf 51(4):349–357

    Article  Google Scholar 

  18. Lamraoui M, Thomas M, El Badaoui M, Girardin F (2014) Indicators for monitoring chatter in milling based on instantaneous angular speeds. Mech Syst Signal Process 44(1):72–85

    Article  Google Scholar 

  19. Gradišek J, Govekar E, Grabec I (1998) Using coarse-grained entropy rate to detect chatter in cutting. J Sound Vib 214(5):941–952

    Article  Google Scholar 

  20. Yoon M, Chin D (2005) Cutting force monitoring in the endmilling operation for chatter detection. Proc Inst Mech Eng B J Eng Manuf 219(6):455–465

    Article  Google Scholar 

  21. Cao H, Lei Y, He Z (2013) Chatter identification in end milling process using wavelet packets and Hilbert–Huang transform. Int J Mach Tools Manuf 69:11–19

    Article  Google Scholar 

  22. Cao H, Zhou K, Chen X (2015) Chatter identification in end milling process based on EEMD and nonlinear dimensionless indicators. Int J Mach Tools Manuf 92:52–59

    Article  Google Scholar 

  23. Choi T, Shin YC (2003) On-line chatter detection using wavelet-based parameter estimation. J Manuf Sci Eng, Trans ASME 125(1):21–28

    Article  Google Scholar 

  24. Fu Y, Zhang Y, Zhou H, Li D, Liu H, Qiao H, Wang X (2016) Timely online chatter detection in end milling process. Mech Syst Signal Process 75:668–688

    Article  Google Scholar 

  25. Pérez-Canales D, Álvarez-Ramírez J, Jáuregui-Correa JC, Vela-Martínez L, Herrera-Ruiz G (2011) Identification of dynamic instabilities in machining process using the approximate entropy method. Int J Mach Tools Manuf 51(6):556–564

    Article  Google Scholar 

  26. Marinescu I, Axinte DA (2008) A critical analysis of effectiveness of acoustic emission signals to detect tool and workpiece malfunctions in milling operations. Int J Mach Tools Manuf 48(10):1148–1160

    Article  Google Scholar 

  27. Kakinuma Y, Sudo Y, Aoyama T (2011) Detection of chatter vibration in end milling applying disturbance observer. CIRP Ann Manuf Technol 60(1):109–112

    Article  Google Scholar 

  28. Yamato S, Hirano T, Yamada Y, Koike R, Kakinuma Y (2017) Sensor-less on-line chatter detection in turning process based on phase monitoring using power factor theory. Precis Eng

  29. Cao H, Yue Y, Chen X, Zhang X (2017) Chatter detection in milling process based on synchrosqueezing transform of sound signals. Int J Adv Manuf Technol 89(9–12):2747–2755

    Article  Google Scholar 

  30. Schmitz TL (2003) Chatter recognition by a statistical evaluation of the synchronously sampled audio signal. J Sound Vib 262(3):721–730

    Article  Google Scholar 

  31. Singh KK, Singh R, Kartik V (2015) Comparative study of chatter detection methods for high-speed micromilling of Ti6Al4V. Procedia Manufacturing 1:593–606

    Article  Google Scholar 

  32. Rafal R, Pawel L, Krzysztof K, Bogdan K, Jerzy W (2015) Chatter identification methods on the basis of time series measured during titanium superalloy milling. Int J Mech Sci 99:196–207

    Article  Google Scholar 

  33. Lamraoui M, Thomas M, El Badaoui M (2014) Cyclostationarity approach for monitoring chatter and tool wear in high speed milling. Mech Syst Signal Process 44(1):177–198

    Article  Google Scholar 

  34. Uekita M, Takaya Y (2017) Tool condition monitoring technique for deep-hole drilling of large components based on chatter identification in time–frequency domain. Measurement 103:199–207

    Article  Google Scholar 

  35. Li X, Wong Y, Nee A (1997) Tool wear and chatter detection using the coherence function of two crossed accelerations. Int J Mach Tools Manuf 37(4):425–435

    Article  Google Scholar 

  36. Suh C, Khurjekar P, Yang B (2002) Characterisation and identification of dynamic instability in milling operation. Mech Syst Signal Process 16(5):853–872

    Article  Google Scholar 

  37. Pérez-Canales D, Vela-Martínez L, Jáuregui-Correa JC, Alvarez-Ramirez J (2012) Analysis of the entropy randomness index for machining chatter detection. Int J Mach Tools Manuf 62:39–45

    Article  Google Scholar 

  38. Daubechies I, Lu J, Wu H-T (2011) Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Appl Comput Harmon Anal 30(2):243–261

    Article  MathSciNet  MATH  Google Scholar 

  39. Li C, Liang M (2012) A generalized synchrosqueezing transform for enhancing signal time–frequency representation. Signal Process 92(9):2264–2274

    Article  Google Scholar 

  40. Oberlin T, Meignen S, Perrier V (2015) Second-order synchrosqueezing transform or invertible reassignment? Towards ideal time-frequency representations. IEEE Trans Signal Process 63(5):1335–1344

    Article  MathSciNet  MATH  Google Scholar 

  41. Xi S, Cao H, Chen X, Zhang X, Jin X (2015) A frequency-shift synchrosqueezing method for instantaneous speed estimation of rotating machinery. J Manuf Sci Eng 137(3):031012

    Article  Google Scholar 

  42. Cao H, Xi S, Chen X, Wang S (2016) Zoom synchrosqueezing transform and iterative demodulation: methods with application. Mech Syst Signal Process 72:695–711

    Article  Google Scholar 

  43. Xi S, Cao H, Chen X (2016) Zoom synchrosqueezing transform for instantaneous speed estimation of high speed spindle. Mater Sci Forum

  44. Wang S, Chen X, Cai G, Chen B, Li X, He Z (2014) Matching demodulation transform and synchrosqueezing in time-frequency analysis. IEEE Trans Signal Process 62(1):69–84

    Article  MathSciNet  MATH  Google Scholar 

  45. Obuchowski J, Wyłomańska A, Zimroz R (2014) The local maxima method for enhancement of time–frequency map and its application to local damage detection in rotating machines. Mech Syst Signal Process 46(2):389–405

    Article  Google Scholar 

  46. Yao Z, Mei D, Chen Z (2010) On-line chatter detection and identification based on wavelet and support vector machine. J Mater Process Technol 210(5):713–719

    Article  Google Scholar 

  47. Liu C, Zhu L, Ni C (2017) The chatter identification in end milling based on combining EMD and WPD. Int J Adv Manuf Technol 91(9–12): 3339–3348

  48. Liu C, Zhu L, Ni C (2018) Chatter detection in milling process based on VMD and energy entropy[J]. Mech Syst Signal Process 105: 169–182

Download references

Acknowledgements

The authors would like to acknowledge the support of the National Natural Science Foundation of China (Grant No. 51575423 and 51421004) and Natural Science Foundation of Shaanxi (No. 2017JM5120).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongrui Cao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xi, S., Cao, H., Zhang, X. et al. Zoom synchrosqueezing transform-based chatter identification in the milling process. Int J Adv Manuf Technol 101, 1197–1213 (2019). https://doi.org/10.1007/s00170-018-3002-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-3002-x

Keywords

Navigation