Modeling of the frequency response function and its evaluation during boring




Frequency response function, boring, simulation, vibration, vibroacoustic behavior of machining centers


Finite element method of simulating frequency response function (FRF) for boring tool in LS-Dyna solver is investigated in this work.

Nowadays, computer numerical simulation allows to obtain FRF using different materials model with high precision compared to real experiments with sensors like impact hammer testing.

This function is used in construction of stability lobe diagrams that allows operator of machining center to avoid chatter self-excited vibrations.

Such vibration is led to decreasing of productivity and quality in cutting of metals and other materials.

Amplitude and phase angle for the model is obtained from LS-Dyna result interpreter, that reads binary files, created during simulation by the program.

Amplitude and phase angle of frequency response function are depending on dynamic stiffness of machining system. Real and imaginary part of frequency response function have been obtained during simulation.

With lack of dynamic stiffness amplitudes of response increases.

Author Biography

Maksym Shykhalieiev, Igor Sikorsky Kyiv Polytechnic Institute

Механіко-машинобудівельний Інститут, Кафедра технології машинобудування, Аспірант


  1. Z. Dombovari, M. Sanz-Calle and M. Zatarain, “The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function”, Journal of Manufacturing and Materials Processing, vol. 4, no. 3, p. 72, 2020. doi:
  2. 3390/jmmp4030072
  3. G. Quintana and J. Ciurana, “Chatter in machining processes: A review”, International Journal of Machine Tools and Manufacture, vol. 51, no. 5, pp. 363-376, 2011. doi: 10.1016/j.ijmachtools.2011.01.001
  4. D. Kryvoruchko and V. Zaloha, Simulation of cutting processes by the finite element method: methodological foundations: monograph. Sumy: University book, 2012, p. 434.
  5. A. Iglesias, J. Munoa, C. Ramírez, J. Ciurana and Z. Dombovari, “FRF Estimation through Sweep Milling Force Excitation
  6. (SMFE)”, Procedia CIRP, vol. 46, pp. 504-507, 2016. doi: 10.1016/j.procir.2016.04.019
  7. Y. Lin, K. Wu, W. Shih, P. Hsu and J. Hung, “Prediction of Surface Roughness Based on Cutting Parameters and Machining Vibration in End Milling Using Regression Method and Artificial Neural Network”, Applied Sciences, vol. 10, no. 11, p. 3941, 2020. doi: 10.3390/app10113941
  8. Y. Alammari, M. Sanati, T. Freiheit and S. Park, “Investigation of Boring Bar Dynamics for Chatter Suppression”, Procedia Manufacturing, vol. 1, pp. 768-778, 2015. doi: 10.1016/j.promfg.2015.09.059
  9. “LS-DYNA® Keyword User's Manual Volume II Material Models”,, 2020. [Online]. Available:
  11. “LS-DYNA Manual R12.0-Vol I”, Welcome to the LS-DYNA support site, 2020. [Online]. Available:
  13. D. Ewins, Modal testing. Hertfordshire: Research Studies Press, 2000.
  14. Silva JMM, Maia NMM, Ribeiro AMR. Cancellation of massloading effects of transducers and evaluation of unmeasured frequency response functions. J Sound Vib 2000;236(5):761–779.
  15. Y. Chen, “A study of the cutting forces and vibration characteristics in titanium machining,” Ph.D. dissertation, New South Wales, 2015.
  16. G. Quintana and J. Ciurana, “Chatter in machining processes: A review,” International Journal of Machine Tools and
  17. Manufacture, No. 51(5), 2011. pp.363–376 [Online].
  18. B.Powalka et al., “Identification of machining force model parameters from acceleration measurement,” International Journal of Manufacturing Research, . No. 3, 2008, pp. 1–30.
  19. E. Wahyuni and T. Ji, “Relationship between Static Stiffness and Modal Stiffness of Structures,” The Journal for Technology and Science, 2010.
  20. J. Munoa et al., “Chatter suppression techniques in metal cutting,” CIRP Annals Manufacturing technology, 2016, pp. 785–808.




How to Cite

M. Shykhalieiev and V. Medvedev, “Modeling of the frequency response function and its evaluation during boring”, Mech. Adv. Technol., vol. 5, no. 3, pp. 307–313, Dec. 2021.