Cutting Forces Simulation for End Milling

Author(s): Petrakov Y. V.*, Ohrimenko O. A., Sikailo M. O., Myhovych A. V.

Affiliation(s): National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37, Peremohy Ave., 03056 Kyiv, Ukraine

*Corresponding Author’s Address: [email protected]

Issue: Volume 10, Issue 2 (2023)

Submitted: July 3, 2023
Received in revised form: September 25, 2023
Accepted for publication: October 9, 2023
Available online: October 10, 2023

Petrakov Y. V., Ohrimenko O. A., Sikailo M. O., Myhovych A. V. (2023). Cutting forces simulation for end milling. Journal of Engineering Sciences (Ukraine), Vol. 10(2), pp. A27–A33. DOI: 10.21272/jes.2023.10(2).a4

DOI: 10.21272/jes.2023.10(2).a4

Research Area:  MANUFACTURING ENGINEERING: Machines and Tools

Abstract. The cutting force in end milling is the essential perturbation of the machining system that limits the productivity of the process. Therefore, forecasting the cutting force when assigning the processing mode and the geometry of the allowance layer to be cut is an urgent task that requires an operational tool for its solution. The method of calculating the cutting force is presented, based on a mechanistic approach, when the geometric ratios of the cutter blades’ positions on the sweep determine the thickness of the undeformed chip. The developed algorithm calculates the cutting force by double integration, first by the length of the cutting edge and then by the number of such edges. The algorithm also allows the simulating of the outrun of the mill on the cutting force and its components. The created application program visualizes the simulating process by oscillograms of the cutting force components for both up and down milling. Experimental studies, in general, proved the adequacy of the developed modeling method. The created program is a tool for operational forecasting of the cutting force during the technological preparation of the end milling process in production.

Keywords: cutting force, end milling, process innovation, numerical simulation.


  1. Joshi, S. N., Bolar, G. (2021). Influence of end mill geometry on milling force and surface integrity while machining low rigidity parts. J. Inst. Eng. India Ser. C, Vol. 102(6), pp. 1503–1511.
  2. Ehmann, K. F., Kapoor, S. G., DeVor, R. E., Lazoglu, I. (1997). Machining process modeling: A review. J. Manuf. Sci. Eng., Vol. 119(4B), pp. 655–663.
  3. Rubeo, M., Schmitz, T. (2016). Milling force modeling: A comparison of two approaches. Procedia Manufacturing, Vol. 5, pp. 90–105.
  4. Budak, E. (2005). Analytical models for high performance milling. Part I: Cutting forces, structural deformations and tolerance integrity. International Journal of Machine Tools and Manufacture, Vol. 46(12–13), pp. 1478–1488
  5. Budak, E. (2006). Analytical models for high performance milling, Part II: Process dynamics and stability. International Journal of Machine Tools and Manufacture, Vol. 46(12–13), pp. 1489–1499.
  6. Altintas, Y. (2000). Modeling approaches and software for predicting the performance of milling operations at MAL-UBC. Machining Science and Technology, Vol. 4(3), pp. 445–478.
  7. Gomeza, M., Noa, T., Schmitza, T. (2020). Digital force prediction for milling. Procedia Manufacturing, Vol. 48, pp. 873–881.
  8. Aydın, M., Köklü, U. (2023). Analysis of cutting forces from conventional to high-speed milling with straight and helical-flute tools for flat-end milling incorporating the effect of tool runout: A preprint. ResearchSuare.
  9. Kalla, D., Sheikh-Ahmad, J., Twomeya, J. (2010). Prediction of cutting forces in helical end milling fiber reinforced polymers. International Journal of Machine Tools and Manufacture, Vol. 50(10), pp. 882–891
  10. Wu, B., Xue, Y., Ming, L., Ge, G. (2013). Cutting force prediction for circular end milling process. Chinese Journal of Aeronautics, Vol. 26(4), pp. 1057–1063.
  11. Petrakov, Y. V., Myhovych, A. V. (2020). IMachining technology analysis for contour milling. Mechanics and Advanced Technologies, Vol. 2(89), pp. 114-120.
  12. Rubeo, A. M., Schmitz, L. T. (2016). Mechanistic force model coefficients: A comparison of linear regression and nonlinear optimization. Precision Engineering, Vol. 45, pp. 311–321.
  13. Bhople, N., Mastud, S., Satpal, S. (2021). Modelling and analysis of cutting forces while micro end milling of Ti-alloy using finite element method. Int. J. Simul. Multidisci. Des. Optim., Vol. 12, 26.
  14. Suraidah, S., Ridzuwan, M., Asmelash, M., Azhar, A., Mulubrhan, F. (2020). End milling finite element method for cutting force prediction and material removal analysis. IOP Conference Series: Materials Science and Engineering, Vol. 788, 012020.
  15. Nazario, J., No, T., Gomez, M., Corson, G., Schmitz, T. (2022). Dynamic force and stability prediction for milling using feed rate scheduling software and time-domain simulation. Manufacturing Letters, Vol. 33, pp. 355–364.

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