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Improved dynamic cutting force model with complex coefficients at orthogonal turning

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Abstract

Self-excited vibration (chatter) is determined by the relation between the vibrating system and the cutting process. In current theories, the dynamic cutting force model in a form suggested by Tlusty and Polacek in the 1950s is still used. However, this model oversimplifies the dynamic cutting process by trying to express all processes using a single cutting force coefficient. Measurement results presented in this article clearly show that such simplification of the cutting process is unacceptable. This work follows upon the original measurement method by Tlusty and Polacek using controlled tool vibration. The method was intended to research the cutting process dynamics. However, the original Tlusty and Polacek method ignored the impact of the length of the workpiece surface wave. The original method is innovatively developed by taking into account the impact of the chatter frequency. The new method allows to better understand the processes occurring during dynamic cutting. As opposed to the original method, current advanced measurement equipment allows for more precise examination of the cutting process in dependence on the chatter frequency. The article shows that results obtained by the new method can be utilized for modeling the cutting force with greater precision in order to better predict the cutting process stability.

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References

  1. Altintas Y (2012) Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design, 2nd edition, Cambridge University press, 2012, New York. ISBN 978-1-107-00148-0

  2. Cheng K (2008) Machining dynamics: fundamentals, applications and practices. Springer, London ISBN 978-1-84628-367-3

    Google Scholar 

  3. Tlusty J, Polacek M (1963) The stability of the machine tool against self-excited vibration in machining. ASME Int Res Prod Eng:465–474

  4. Tlusty J (1978) Analysis of the state of research in cutting dynamics. Ann CIRP 27:583–589

    Google Scholar 

  5. Goel B (1976) Measurement of dynamic cutting force coefficients. Dissertation, McMaster University. https://macsphere.mcmaster.ca/handle/11375/8095>. Accessed 18 June 2014

  6. Rao SB (1977) Analysis of the dynamic cutting force coefficient. Dissertation McMaster University. https://macsphere.mcmaster.ca/handle/11375/8826>. Accessed 18 June2014

  7. Nigm MM, Sadek MM (1977) Experimental investigation of the characteristic of dynamic cutting process. ASME J Eng Ind 99:410–418. https://doi.org/10.1115/1.3439252

    Article  Google Scholar 

  8. Heczko O (1980) New method for testing the dynamic cutting force coefficients. Dissertation, McMaster University. https://macsphere.mcmaster.ca/handle/11375/17929. Accessed 19 August 2015

  9. Ahn TY, Eman KF, Wu SM (1985) Identification of the transfer function of dynamic cutting processes – a comparative assessment. Elsevier Int J Mach Tool Des Res 25:75–90. https://doi.org/10.1016/0020-7357(85)90059-9

    Article  Google Scholar 

  10. Minis IE, Magrab EB, Pandelidis IO (1990) Improved methods for the prediction of chatter in turning, part 2: determination of cutting process parameters. ASME J Eng Ind 112:21–27. https://doi.org/10.1115/1.2899291

    Article  Google Scholar 

  11. Insperger T, Stepan G (2011) Semi-discretization for time-delay systems: stability and engineering applications. Springer, New York ISBN 978-1-4614-0334-0

    Book  MATH  Google Scholar 

  12. Wu DW, Liu CR (1985) An analytical model for cutting dynamics. Part 1: model building. ASME J Eng Ind 107:107–111. https://doi.org/10.1115/1.3185972

    Article  Google Scholar 

  13. Altintas Y, Eynian M, Onozuka H (2008) Identification of dynamic cutting force coefficients and chatter stability with process damping. CIRP Ann Manuf Technol 57:371–374. https://doi.org/10.1016/j.cirp.2008.03.048

    Article  Google Scholar 

  14. Budak E, Tunc LT (2010) Identification and modeling of process damping in turning and milling using a new approach. CIRP Ann 59:403–408. https://doi.org/10.1016/j.cirp.2010.03.078

    Article  Google Scholar 

  15. Xiao W et al (2014) A method of using turning process excitation to determine dynamic cutting coefficients. Elsevier Int J Mach Tools Manuf 87:49–60. https://doi.org/10.1016/j.ijmachtools.2014.08.002

    Article  Google Scholar 

  16. Sniegulska-Gradzka D, Nejman M, Jemielniak K (2017) Cutting force coefficients determination using vibratory cutting. Procedia CIRP 62:205–208. https://doi.org/10.1016/j.procir.2016.06.091

    Article  Google Scholar 

  17. Bach P, Polacek M, Chvojka P, Drobilek J, Svoboda O (2013) A comparative analysis of lower speed chatter behaviour. MM Sci J 2013:434–440. http://www.mmscience.eu/content/www_mmscience_cz_201314(1).pdf. Accessed 7 Jan 2014

    Article  Google Scholar 

  18. Nigm MM, Sadek MM, Tobias SA (1977) Dimensional analysis of the steady state orthogonal cutting process. Elsevier Int J Mach Tool Des Res 17:1–18. https://doi.org/10.1016/0020-7357(77)90023-3

    Article  Google Scholar 

  19. Munoa J, al e (2016) Chatter suppression techniques in metal cutting. CIRP Ann 65:785–808. https://doi.org/10.1016/j.cirp.2016.06.004

    Article  Google Scholar 

  20. Peters J, Vanherck P, Van Brussel H (1971) The measurement of the dynamic cutting coefficient. Elsevier CIRP Ann Manuf Technol 21:129–136

    Google Scholar 

Download references

Acknowledgements

The research was supported by the Technology Agency of the Czech Republic from the funds earmarked for the TE01020075 Competence Centre project.

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Authors and Affiliations

  1. CTU, Faculty of Mechanical Engineering, Research Center of Manufacturing Technology (RCMT), Horska 3, Prague 2, 128 00, Czech Republic

    Jiri Drobilek, Milos Polacek, Pavel Bach & Miroslav Janota

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  1. Jiri Drobilek
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  2. Milos Polacek
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  3. Pavel Bach
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  4. Miroslav Janota
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Correspondence to Jiri Drobilek.

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Drobilek, J., Polacek, M., Bach, P. et al. Improved dynamic cutting force model with complex coefficients at orthogonal turning. Int J Adv Manuf Technol 103, 2691–2705 (2019). https://doi.org/10.1007/s00170-019-03715-0

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  • DOI: https://doi.org/10.1007/s00170-019-03715-0

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