Study of the area of attraction of the auto-balancing mode in a ball-type automatic balancing device with a horizontal axis of rotation

Guntis Strautmanis1 , Mareks Mezitis2 , Valentina Strautmane3 , Alexander Gorbenko4 , Igors Shchukins5 , Marina Gromova6

1, 2, 6Riga Technical University, Riga, Latvia

3, 5Riga Technical University, Daugavpils, Latvia

4Kerch State Maritime Technological University, Kerch, Russia

1Corresponding author

Vibroengineering PROCEDIA, Vol. 24, 2019, p. 63-67.
Received 15 March 2019; accepted 28 March 2019; published 7 June 2019

Copyright © 2019 Guntis Strautmanis, et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Creative Commons License

It is known that automatic balancing devices are capable of reducing vibrations in rotary systems in a superresonance velocity zone. However, the effectiveness of automatic balancing devices is related to the necessity of accelerating compensating masses. To ensure the acceleration of compensating masses from standstill to the operating speed of the rotor, they need to be provided some initial velocity. The value of this velocity is influenced by the parameters of the elastic suspension of the rotor, the geometrical parameters of the automatic balancer, the coefficient of rolling friction between the housing and the compensating mass, etc. The work is devoted to the study of a horizontal rotor model with an automatic balancer with one compensating mass, in particular the issue on the influence of the coefficient of viscous friction on the value of the area of attraction of the auto-balancing mode.

Graphical Abstract

  • In the rotor system with ABD various stable modes of motion are possible (nearly periodic, superharmonic, and other oscillations)
  • The increase in the viscous friction coefficient in ABD narrows the range of existence of nearly periodic and superharmonic modes of motion of the rotor system
  • Reducing the coefficient of viscous friction in the ABD slightly reduces the area of attraction of the main auto-balancing mode

Keywords: automatic balancing device, operating regime, ball, rotor, area of attraction.


  1. Gorbenko A. N. Influence of gravity on rotor oscillations with a ball self-balancing. Bulletin of the Technological University of Podolia, Vol. 1, 2000, p. 110-114, (in Russian). [CrossRef]
  2. Sperling L., Ryzhik B., Linz Ch, Duckstein H. Simulation of two-plane automatic balancing of a rigid rotor. Mathematics and Computers in Simulation, Vol. 58, Issues 4-6, 2002, p. 351-365. [Publisher]
  3. Ziyakaev G. R., Katanuhina S. L., Ponomarev A. V. The effect of friction on the accuracy of automatic balancing of unbalanced rotors. The World of Scientific Discoveries, Vol. 10, Issues 1(46), 2013, p. 104-108, (in Russian). [CrossRef]
  4. Gorbenko A. N. Influence of rotor unbalance increasing on the stability of its autobalancing. Procedia Engineering, Vol. 206, 2017, p. 266-271. [Publisher]
  5. Goncharov V. An increase of the balancing capacity of ball or roller-type auto-balancers with reduction of time of achieving auto-balancing. Eastern-European Journal of Enterprise Technologies. Vol. 1, Issue 7(85), 2017, p. 15-24. [Publisher]
  6. Strautmanis G., Mezītis M., Strautmane V. The impact of rotor elastic suspension settings on the acceleration of the automatic balancer compensating mass. Vibroengineering Procedia, Vol. 14, 2017, p. 13-17. [Publisher]
  7. Strautmanis G. On the stability of the autobalancing conditions of a ball autoequalizer. Scientific Journal of RTU/ Transport and Engineering/ Mechanics, Vol. 36, 2015, p. 31-34, (in Latvian). [CrossRef]
  8. Strautmanis G., Jurjevs V., Cokalo V. A Balancing Device for Centrifuges of Washing Machines. LV Patents, LV 14368 B, 2011, (in Latvian). [CrossRef]
  9. Shchukins I., Zakrzevskis M., Ivanov Y., et al. Application of software SPRING and method of complete bifurcation groups for the bifurcation analysis of nonlinear dynamical system. Journal of Vibroengineering, Vol. 10, Issue 4, 2008, p. 510-518. [CrossRef]