Mathematical model of micro turning process

Abstract

In recent years, significant advances in turning process have been achieved greatly due to the emergent technologies for precision machining. Turning operations are common in the automotive and aerospace industries where large metal workpieces are reduced to a fraction of their original weight when creating complex thin structures. The analysis of forces plays an important role in characterizing the cutting process, as the tool wear and surface texture, depending on the forces. In this paper, the objective is to show how our understanding of the micro turning process can be utilized to predict turning behavior such as the real feed rate and the real cutting depth, as well as the cutting and feed forces. The machine cutting processes are studied with a different model compared to that recently introduced for grinding process by Malkin and Guo (2006). The developed two-degrees-of-freedom model includes the effects of the process kinematics and tool edge serration. In this model, the input feed is changing because of current forces during the turning process, and the feed rate will be reduced by elastic deflection of the work tool in the opposite direction to the feed. Besides this, using the forces and material removal during turning, we calculate the effective cross-sectional area of cut to model material removal. With this model, it is possible for a machine operator, using the aforementioned turning process parameters, to obtain a cutting model at very small depths of cut. Finally, the simulated and experimental results prove that the developed mathematical model predicts the real position of the tool tip and the cutting and feed forces of the micro turning process accurately enough for design and implementation of a cutting strategy for a real task.

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References

  1. 1.

    Cheng K, Luo X, Ward R (2005) The effects of machining process variables and tooling characterisation on the surface generation. Int J Manuf Sci Technol 25:1089–1097

    Article  Google Scholar 

  2. 2.

    Cheng K, Luo XC, Luo XK, Liu XW (2005) A simulated investigatin on the machining instability and dynamic surface generation. Int J Manuf Sci Technol 26:718–725

    Article  Google Scholar 

  3. 3.

    Dassanayake AV, Suh CS (2008) On nonlinear cutting response and tool chatter in turning operation. Commun Nonlinear Sci Numer Simul 13:979–1001

    Article  Google Scholar 

  4. 4.

    Kopac J, Sali S (2001) Tool wear monitoring during the turning process. J Mater Process Technol 112:312–316

    Article  Google Scholar 

  5. 5.

    Olgac N, Zhao G (1987) A relative stability study on the dynamics of the turning mechanism. Trans ASME 109:164–170

    Article  Google Scholar 

  6. 6.

    Ozlu E, Budak E (2006) Analytical stability models for turning and boring operations - part I: model development. ASME J Manuf Sci Eng 129(4):726–732

    Article  Google Scholar 

  7. 7.

    Ozlu E, Budak E (2007) Comparison of one-dimensional and multi-dimensional models in stability analysis of turning operations. Int J Mach Tools Manuf 47:1875–1883

    Article  Google Scholar 

  8. 8.

    Rao BC, Shin YC (1999) A comprehensive dynamic cutting force model for chatter prediction in turning. Int J Mach Tools Manuf 39:1631–1654

    Article  Google Scholar 

  9. 9.

    Ravindra HV, Srinivasa YG, Krishnamurthy R (1993) Modeling of tool wear based on cutting forces in turning. Wear 169(1):25–32

    Article  Google Scholar 

  10. 10.

    Wang J (2001) Development of a chip flow for turning operations. Int J Mach Tools Manuf 41:1265–1274

    Article  Google Scholar 

  11. 11.

    Wang J, Mathew P (1995) Development of a general tool model for turning operations based on a variable flow stress theory. Int J Mach Tools Manuf 35:71–90

    Article  Google Scholar 

  12. 12.

    Weller EJ, Schrier HM, Weichbrodt B (1969) What sound can be expected from a worn tool? J Eng Ind 91:525–534

    Google Scholar 

  13. 13.

    Altintas Y (2000) Manufacturing automation: metal cutting mechanics. Machine tool vibrations and CNC design. Cambridge University Press, Cambridge

    Google Scholar 

  14. 14.

    Malkin S (1989) Grinding technology: theory and application of machining with abrasives. Ellis Horwod and Wiley, Chichester (1996) (Reprinted by SME)

    Google Scholar 

  15. 15.

    Riemer O (2001) Trennmechanismen und Oberflächenfeingestalt bei der Mirozerspannung kristallier und amorpher Werkstoffe. Aachen, Shaker

    Google Scholar 

  16. 16.

    Malkin S, Guo C (2006) Model based simulation of grinding processes. http://www.abrasivesmagazine.com/mtext/product/Model%20Based%20Simulation.pdf

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Correspondence to Iwona Piotrowska.

Additional information

Ch. Brandt, H. R. Karimi and P. Maass were supported by the German Research Foundation DFG grant SPP 1180. I. Piotrowska was supported by the German Research Foundation DFG grant SFB 747.

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Piotrowska, I., Brandt, C., Karimi, H.R. et al. Mathematical model of micro turning process. Int J Adv Manuf Technol 45, 33–40 (2009). https://doi.org/10.1007/s00170-009-1932-z

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Keywords

  • Turning process
  • Model analysis
  • Simulation