Modeling of the friction in the tool-workpiece system in diamond burnishing process

  • Received : 2015.04.11
  • Accepted : 2015.11.30
  • Published : 2015.12.25


The article presents a theoretical-experimental approach developed for modeling the coefficient of sliding friction in the dynamic system tool-workpiece in slide diamond burnishing of low-alloy unhardened steels. The experimental setup, implemented on conventional lathe, includes a specially designed device, with a straight cantilever beam as body. The beam is simultaneously loaded by bending (from transverse slide friction force) and compression (from longitudinal burnishing force), which is a reason for geometrical nonlinearity. A method, based on the idea of separation of the variables (time and metric) before establishing the differential equation of motion, has been applied for dynamic modeling of the beam elastic curve. Between the longitudinal (burnishing force) and transverse (slide friction force) forces exists a correlation defined by Coulomb's law of sliding friction. On this basis, an analytical relationship between the beam deflection and the sought friction coefficient has been obtained. In order to measure the deflection of the beam, strain gauges connected in a "full bridge" type of circuit are used. A flexible adhesive is selected, which provides an opportunity for dynamic measurements through the constructed measuring system. The signal is proportional to the beam deflection and is fed to the analog input of USB DAQ board, from where the signal enters in a purposely created virtual instrument which is developed by means of Labview. The basic characteristic of the virtual instrument is the ability to record and visualize in a real time the measured deflection. The signal sampling frequency is chosen in accordance with Nyquist-Shannon sampling theorem. In order to obtain a regression model of the friction coefficient with the participation of the diamond burnishing process parameters, an experimental design with 55 experimental points is synthesized. A regression analysis and analysis of variance have been carried out. The influence of the factors on the friction coefficient is established using sections of the hyper-surface of the friction coefficient model with the hyper-planes.


diamond burnishing;tool-workpiece system;slide friction coefficient;geometric nonlinearity;dynamic deflection;strain gage measurement


  1. Hvorostuhin, L.A. and Ilin, N.N. (1973), "Friction during diamond burnishing of metals and alloys", Vestnik mashinostroenie, 11, 64-65 (in Russian).
  2. Korzynski, M., Lubas, J., Swirad, S. and Dudek, K. (2011), "Surface layer characteristics due to slide diamond burnishing with a cylindrical-ended tool", J. Mater. Process. Tech. , 211(1), 84-94.
  3. Korzynski, M., Pacana, A. and Cwanek, J. (2009), "Fatigue strength of chromium coated elements and possibility of its improvement with slide diamond burnishing", Surf. Coat. Tech., 203(12), 1670-1676.
  4. Korzynsky, M. (2013), "Slide diamond burnishing", (Ed., Korzynski, M.), Nonconventional Finishing Technologies. Polish Scientific Publishers, Warsaw.
  5. Maximov, J.T. (2014), "A new approach to modeling the dynamic response of Bernoulli-Euler beam under moving load", Coupled Syst. Mech., 3(3) 247-265.
  6. Maximov, J.T., Duncheva, G.V. and Amudjev, I.M. (2013), "A novel method and tool which enhance the fatigue life of structural components with fastener holes", Eng. Fail. Anal., 31, 132-143.
  7. Reid, L. (1993), "Beneficial residual stresses at bolt holes by cold expansion", (Eds., J.J. Kalker et al.), Rail Quality and Maintenance for Modern Railway Operation, Kluwer Academic Publishers, Printed in Netherlands.
  8. Sartkulvanich, P., Altan, T., Jasso, F. and Rodriguez, C. (2007), "Finite element modeling of hard roller burnishing: an analysis on the effects of process parameters upon surface finish and residual stresses", J. Manuf. Sci. Eng., 129(4), 705-716.
  9. Su, M., Amrouche, A., Mesmacque, G. and Benseddiq, N. (2008), "Numerical study of double cold expansion of the hole at crack tip and the influence on residual stress field", Comput. Mater. Sci., 41(3), 350-355
  10. Timoshenko , S.P. (1972), Theory of elasticity, Naukova Dumka, Kiev (In Russian)
  11. Torbilo, V.M., Evsin, E.A. and Chigodaev, N.E. (1976), "Friction of diamond element on steel", Mashinovedenie, 5, 103-109 (in Russian).
  12. Vuchkov, I.N. and Vuchkov, I.I. (2009), QStatLab Professional, v. 5.5 - Statistical Quality Control Software, User's Manual, Sofia,.
  13. Yatzenko, V.K., Zaitzev, G.Z., Pritchenko, V.F. and Ivshtenko L.I. (1985), Enhancement of load-carrying capacity of machine components by diamond burnishing, Moscow: Machinostroenie (in Russian).

Cited by

  1. Design of Freeform Surface Finish Using Synchronous Processes of Electrochemical Finishing and Burnishing vol.375-376, pp.1662-9795, 2008,
  2. Effect of slide burnishing method on the surface integrity of AISI 316Ti chromium–nickel steel vol.40, pp.4, 2018,
  3. Crack resistance enhancement of joint bar holes by slide diamond burnishing using new tool equipment pp.1433-3015, 2019,
  4. A Temperature-Dependent, Nonlinear Kinematic/Isotropic Hardening Material Constitutive Model of the Surface Layer of 37Cr4 Steel Subjected to Slide Burnishing pp.2191-4281, 2019,


Supported by : Bulgarian Ministry of Education and Science, Technical University of Gabrovo