Autors: Sinapov, P. V., Ignatov, I. P.
Title: Friction induced vibrations of a cantilever beam
Keywords: Continuous system,FEM,Self-excited vibration

Abstract: In the present work friction induced vibrations of a fixed support beam considered as a continuous system are studied. The dynamic model is made using FEM, as the internal damping is taken into account (Rayleigh damping). The friction force, applied on the beam is nonlinear function of the relative velocity of sliding and it is modeled as a cubic function in it is drop-down section. Stationary process of motion is considered in the study. The problem is solved using Matlab Slim-ulink. The numerical solution is confirmed by experiment.


  1. Casini, P., Vestroni, F., 2003, Non-Smooth Dynamics of a Double-Belt Friction Oscillator, IU-TAM Symposium, Volume 1, pp. 253-262
  2. Duntchev, G., 2004, Selbsterregte Schwingungen eines Systems mit mehreren Reibflächen, Technische Mechanik,, Volume 25, pp. 17-26
  3. Kononenko, M., 1980, Non-linear vibrations of the mechanical systems, Kiev, Naukova Dumka
  4. Tondl, A., 1979, Self-Excited Vibrations in Mechanical Systems, Moskva, Mir
  5. Tondl А, A., 2008, Passive And Active Means For Self-Excited Vibration Suppressing: Two-Mass Model, Engineering Mechanics, Volume 15(2), pp. 133–138
  6. Richard, T., Germay, C., Detournay, E., 2004, Self-excited stick-slip oscillations of drill bits, Comptes Rendus - Mecanique, Volume 332 (8), pp. 619-626
  7. Thompson, D., 2009, Railway Noise and Vibration, Grat Britain, Elsevier
  8. Aarsnes, U.J.F., van de Wouw, N., 2019, Axial and torsional self-excited vibrations of a distributed drill-string, Journal of Sound and Vibration, Volume 444, pp. 127-151
  9. Fourie, D.J., Gräbe, P.J., Heyns, P.S., Fröhling, R.D., 2019, Frequency domain model for railway wheel squeal resulting from unsteady longitudinal creepage, Journal of Sound and Vibration, Volume 445, pp. 228-246
  10. Marjanovic, N., Ivkovic, B., Blagojevic, M., Stojanovic, B., 2010, Experimental determination of friction coefficient at gear drives, Journal of the Balkan Tribological Association, Volume 16(4), pp. 517-526
  11. Rao, S.S., 2017, The finite element method in engineering, United Kingdom, Cambrige, Buterwort-Heinemann
  12. REDDY, 1984, An Introduction to the FEM, McGraw-Hill Book Company, McGraw-Hill Book Company
  13. Genov, J., Gilev, B., Slavchev, Y., Venkov, G., 2010, Modeling and control of windtTurbine tower vibrations, AIP Conference Proceedings, Volume 1293, pp. 30-38


Journal of the Balkan Tribological Association, vol. 26, issue 2, pp. 250-257, 2020, Bulgaria, Scibulcom Ltd., ISSN 13104772

Copyright Journal of the Balkan Tribological Association, Scibulcom Ltd.

Цитирания (Citation/s):
1. Serdyuk, А.О., Serdyuk, D.O., Fedotenkov, G.V., Hein, T.Z.,Green’s function for an unbounded anisotropic kirchhoff-love plate, Journal of the Balkan Tribological Association 27(5), pp. 747-761,2021 - 2021 - в издания, индексирани в Scopus или Web of Science

Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus