Skip to main content
SpringerLink
Log in

Optimal determination of spindle speed variation type for the suppression of chatter in turning

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

Abstract

A chatter occurring in metal cutting causes a poor surface quality of product, an excessive tool wear, and a waste of workpiece materials and energy; limits the material removal rate, etc.; and leads to various negative effects. In recent years, for suppression of chatter, spindle speed variation (SSV) that changes the cutting speed continuously during processing in machine tools has interested the researchers. Mainly, studies have been done on assessment of the effectiveness of SSV technique using already given simple signal types such as triangular, rectangular or sinusoidal. However, among the previous works, studies to determine more efficient types of signals for suppression of chatter are very little. The present study proposes a method that composes the spindle speed variation in multi-harmonic series before optimally determines the number, the amplitudes, and the modulating frequencies of harmonic series, using firefly algorithm (FA) for suppressing more efficiently a chatter that occurs in turning. Firstly, after the number of harmonics, the amplitude and the fundamental frequency of multi-harmonic modulating signal of spindle are taken as optimum design variables and we set up an optimization problem such that the dynamic cutting force becomes minimal. We solve it using FA where the global search performance of FA is improved by changing the walk of fireflies nonlinearly with iteration number. We also present a convergence index that makes it possible to evaluate the performance of extremum search quantitatively. It is shown that it is reasonable to compose the spindle speed variation signal in multiple harmonic series if the fundamental frequency of SSV signal is low, in a single harmonic term if it is higher.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Availability of data and material

Not applicable.

Code availability

Not applicable.

References

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

    Article  Google Scholar 

  2. Quintana G, Ciurana J (2011) Chatter in machining processes: a review. Int J Mach Tool Manu 51:363–376

    Article  Google Scholar 

  3. Takemura T, Kitamura T, Hoshi T, Okushimo K (1974) Active suppression of chatter by programmed variation of spindle speed. CIRP Ann 23(1):121–122

    Google Scholar 

  4. Inamura T, Sata T (1974) Stability analysis of cutting under varying spindle speed. CIRP Ann 23(1):119–120

    Google Scholar 

  5. Sexton JS, Stone BJ (1980) An investigation of variable of the transient effects during variable speed cutting. J Mech Eng Sci 22:107–118

    Article  Google Scholar 

  6. De Canniere J et al (1981) A contribution to the mathematical analysis of variable spindle speed machining. Appl Math Model 5(3):158–164

    Article  Google Scholar 

  7. Lin SC et al (1990) The effects of variable speed cutting on vibration control in face milling. Trans ASME J Eng Ind 112:1–11

    Article  Google Scholar 

  8. Jayaram S, Kapoor SG, DeVor RE (2000) Analytical stability analysis of variable spindle speed machining. Trans ASME J Manuf Sci Eng 122:391–397

    Article  Google Scholar 

  9. Yang F, Zhang B, Yu J (2003) Chatter suppression with multiple time-varying parameters in turning. J Mater Proc Technol 141(3):431–438

    Article  Google Scholar 

  10. Al Regib E, Ni J, Lee SH (2003) Programming spindle speed variation for machine tool chatter suppression. Int J Mach Tool Manu 43(12):1229–1240

    Article  Google Scholar 

  11. Insperger T, Stepan G (2004) Stability analysis with periodic spindle speed modulation via semi-discretization. J Vib Control 10:1835–1855

    Article  MATH  Google Scholar 

  12. Namachchivaya NS, Beddini R (2003) Spindle speed variation for the suppression of regenerative chatter. J Nonlienear Sci 13:265–288

    Article  MathSciNet  MATH  Google Scholar 

  13. Demir A, Hasanov A, Namachchivaya NS (2006) Delay equations with fluctuating delay related to the regenerative chatter. Int J Nonlienear Mech 41:464–474

    Article  MATH  Google Scholar 

  14. Jayaram S, Kapoor S, DeVor R (2000) Analytical stability analysis of variable spindle speed machining. J Manuf Sci Eng Trans ASME 122(3):391–397

    Article  Google Scholar 

  15. Chiou YS et al (1995) Analysis of tool wear effect on chatter stability in turning. Int J Mech Sci 37(4):391–404

    Article  Google Scholar 

  16. Hajikolaei KH et al (2010) Spindle speed variation and adaptive force regulation to suppress regenerative chatter in the turning process. J Manuf Process 12(2):106–115

    Article  Google Scholar 

  17. Fansen K (2011) Simulation and experimental research on chatter suppression using chaotic spindle speed variation. J Manuf Sci E T ASME 133(2):1–4

    Google Scholar 

  18. Albertelli P et al (2012) Spindle speed variation in turning: technological effectiveness and applicability to real industrial cases. Int J Adv Manuf Technol 62:59–67

    Article  Google Scholar 

  19. Falta J et al (2018) Chatter suppression in finish turning of thin- walled cylinder: model of tool workpiece interaction and effect of spindle speed variation. Procedia CIRP 77:175–176

    Article  Google Scholar 

  20. Kvasov DE et al (2018) Metaheuristic vs. deterministic global optimization algorithms: The univariate case. Appl Math Comput 318:245–259

    Article  MathSciNet  MATH  Google Scholar 

  21. Yang XS (2010) Nature-inspired metaheuristic algorithms, 2nd edn, Luniver Press, pp. 81~89, 105-116

  22. Kazemzadeh Azad S et al (2011) Optimum design of structures using an improved firefly algorithm. Int J Optim Civ Eng 2:327–340

    Google Scholar 

  23. Gholizadeh S, Barati H (2012) A comparative study of three metaheurstics for optimum design of trusses. Int J Optim Civ Eng 3:423–441

    Google Scholar 

  24. Dong X, Shen X, Fu Z (2021) Stability analysis in turning with variable spindle speed based on the reconstructed semi-discretization method. Int J Adv Manuf Technol 117(11):3393–3403

    Article  Google Scholar 

  25. Wang C, Zhang X, Yan R, Chen X, Cao H (2019) Multi harmonic spindle speed variation for milling chatter suppression and parameters optimisation. Precis Eng 55:268–274

    Article  Google Scholar 

  26. Wang C, Zhang X, Liu J, Cao H, Chen X (2019) Adaptive vibration reshaping based milling chatter suppression. Int J Mach Tools Manuf 41:30. https://doi.org/10.1016/j.ijmachtools.2019.04.001

    Article  Google Scholar 

  27. Dang X, Wan M, Zhang W, Yang Y (2021) Chatter analysis and mitigation of milling of the pocket-shaped thin-walled workpieces with viscous fluid. Int J Mech Sci 194:106214. https://doi.org/10.1016/j.ijmecsci.2020.106214

    Article  Google Scholar 

  28. Zhu L, Liu C (2020) Recent progress of chatter prediction, detection and suppression in milling. Mech Syst Signal Process 146:1–37. https://doi.org/10.1016/j.ymssp.2020.106840

    Article  Google Scholar 

  29. Alzghoul M et al (2022) Analytical and experimental techniques for chatter prediction, suppression and avoidance in turning; literature survey. Des Mach Struct 12(2):33–43. https://doi.org/10.32972/dms.2022.011

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, State Academy of Sciences, Pyongyang, DPR, Korea

    Ryong Paek, Song-Ho Ha & Sang-Chon Ri

Authors
  1. Ryong Paek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Song-Ho Ha
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sang-Chon Ri
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sang-Chon Ri.

Ethics declarations

Ethics approval

Not applicable.

Consent to participate

Not applicable.

Consent for publication

Not applicable.

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Paek, R., Ha, SH. & Ri, SC. Optimal determination of spindle speed variation type for the suppression of chatter in turning. Int J Adv Manuf Technol 126, 2481–2496 (2023). https://doi.org/10.1007/s00170-023-11192-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-023-11192-9

Keywords

Search

Navigation