Determination of the range of angular velocities of the auto-balancing mode for a vertical rotor system with a Leblanc-type balancer

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.324793

Keywords:

passive auto-balancing, Leblanc-type device, vertical rotor, auto-balancing mode

Abstract

Automatic balancing devices (ABDs) of the Leblanc type – passive ABDs of the liquid type – are used in rotary machines to reduce their vibration level when the distribution of masses around the geometric axis of rotation changes during machine operation or during its restart. To redistribute the masses during balancing, the movement of the working (correcting) liquid in the direction opposite to the imbalance is used. The object of this study is the motion modes (qualitative states) of the working liquid in the chamber of the balancing device for the vertical rotor system. The study is aimed at substantiating the existence of the auto-balancing mode at subcritical angular velocities of the rotor system and investigating its conditions and features. This paper reports the results of modeling the motion modes of the working liquid in the cylindrical chamber of the Leblanc ABP at a subcritical range of rotation speeds taking into account the vector relationships of the force factors depending on the design parameters of the auto-balancing device, the volume of the working fluid, and the shape of its free surface. Estimates of the angular velocities of switching on the working liquid under the rotational motion and under the auto-balancing mode have been analytically and experimentally substantiated, constituting, respectively, 1/3 and 1/2 of the critical angular velocities of the rotor system. For the practice of balancing an elastically deformable rotor and a rotor on elastic supports, the results of the study expand the range of rotation speeds where the balancing of the imbalance by the liquid and the reduction of the amplitudes of vibration processes are observed. This could help increase the service life, reliability, and accuracy of the technological process of machines with variable rotor imbalance by monitoring their vibration resistance through the use of liquid ABDs

Author Biographies

Ilona Drach, Khmelnytskyi National University

Doctor of Technical Sciences

Department of Tribology, Automobiles and Materials Science

Oleksandr Dykha, Khmelnytskyi National University

Doctor of Technical Sciences, Professor, Head of Department

Department of Tribology, Automobiles and Materials Science

Serhii Matiukh, Khmelnytskyi National University

PhD, Associate Professor

Rector

Maksym Dykha, Khmelnytskyi National University

PhD

Department of Tribology, Automobiles and Materials Science

References

  1. Pan, X., Lu, J., Huo, J., Gao, J., Wu, H. (2020). A Review on Self-Recovery Regulation (SR) Technique for Unbalance Vibration of High-End Equipment. Chinese Journal of Mechanical Engineering, 33 (1). https://doi.org/10.1186/s10033-020-00514-7
  2. Osiński, Z. (Ed.) (2018). Damping of Vibrations. CRC Press. https://doi.org/10.1201/9781315140742
  3. Ibraheem, A., Ghazaly, N., Abd el- Jaber, G. (2019). Review of Rotor Balancing Techniques. American Journal of Industrial Engineering, 6 (1), 19–25. Available at: https://www.sciepub.com/ajie/abstract/11311
  4. Li, L., Cao, S., Li, J., Nie, R., Hou, L. (2021). Review of Rotor Balancing Methods. Machines, 9 (5), 89. https://doi.org/10.3390/machines9050089
  5. Zhang, Z., Nielsen, S. R. K., Basu, B., Li, J. (2015). Nonlinear modeling of tuned liquid dampers (TLDs) in rotating wind turbine blades for damping edgewise vibrations. Journal of Fluids and Structures, 59, 252–269. https://doi.org/10.1016/j.jfluidstructs.2015.09.006
  6. Cho, J.-S., Jeong, H.-Y., Kong, K.-C. (2014). Analysis of dynamic model of a top-loading laundry machine with a hydraulic balancer. International Journal of Precision Engineering and Manufacturing, 15 (8), 1615–1623. https://doi.org/10.1007/s12541-014-0511-x
  7. Filimonikhin, G., Filimonikhina, I., Dumenko, K., Pirogov, V. (2017). Methods of balancing of an axisymmetric flexible rotor by passive auto-balancers. Eastern-European Journal of Enterprise Technologies, 3 (7 (87)), 22–27. https://doi.org/10.15587/1729-4061.2017.101832
  8. LeBlanc, M. (1912). Pat. No. US1209730A. Automatic Balancer for Rotating Bodies. Available at: https://patents.google.com/patent/US1209730A/en
  9. Narkhede, C. N., Dhande, K. K. (2016). Review on vibration reduction of a vertical axis drum based washing machine. IJARIIE, 2 (3), 3842–3847. Available at: https://typeset.io/pdf/review-on-vibration-reduction-of-a-vertical-axis-drum-based-3lswicxnch.pdf
  10. Nilawar, S. G., Yerrawar, R. N. (2023). Numerical modeling of semi-automatic washing machine motion model. International Scientific Session on Applied Mechanics XI: Proceedings of the 11th International Conference on Applied Mechanics, 2949, 020032. https://doi.org/10.1063/5.0168215
  11. Lozynskyi, V., Shihab, T., Drach, I., Ropyak, L. (2024). The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer. Machines, 12 (1), 39. https://doi.org/10.3390/machines12010039
  12. Spannan, L., Daniel, C., Woschke, E., Strackeljan, J. (2016). An evaluation of computational methods to specify the effects of liquid balancers. Proceedings of vibrations in rotating machinery – VIRM 11, 785–791. Available at: https://www.ifme.ovgu.de/ifme_media/DY/pdf/Veroeffentlichungen/2016/VIRM_paper_Spannan_final-p-2126.pdf
  13. Majewski, T., Ahearn, G. A. (2019). Extended Model of Automatic Balancer for Washing Machine. Advances in Mechanism and Machine Science, 3197–3206. https://doi.org/10.1007/978-3-030-20131-9_315
  14. Chen, H.-W., Zhang, Q.-J., Fan, S.-Y. (2011). Study on steady-state response of a vertical axis automatic washing machine with a hydraulic balancer using a new approach and a method for getting a smaller deflection angle. Journal of Sound and Vibration, 330 (9), 2017–2030. https://doi.org/10.1016/j.jsv.2010.11.006
  15. Haifei, W., Tian, Z., Guo, C. (2023). Boundary-value-problem examination of the stability of a symmetrical rotor partially filled with a viscous incompressible fluid. Physics of Fluids, 35 (4). https://doi.org/10.1063/5.0147073
  16. Langthjem, M. A., Imura, M., Yamaguchi, K. (2023). The unbalanced rotating cylinder partially filled with fluid; multiple scales analysis of a forced Korteweg–de Vries–Burgers equation. Journal of Engineering Mathematics, 140 (1). https://doi.org/10.1007/s10665-023-10259-6
  17. Cunico, M. W. M. (2015). Characterization and Modelling of LeBlanc Hydrodynamic Stabilizer: A Novel Approach for Steady and Transient State Models. Modelling and Simulation in Engineering, 2015, 1–11. https://doi.org/10.1155/2015/729582
  18. Urbiola-Soto, L., Lopez-Parra, M. (2013). Liquid Self-Balancing Device Effects on Flexible Rotor Stability. Shock and Vibration, 20 (1), 109–121. https://doi.org/10.1155/2013/742163
  19. Drach, I., Bubulis, A., Mažeika, D., Kandrotaitė Janutienė, R., Juodvalkis, D. (2018). Investigation of Small Motions of Liquid in Cylindrical Chamber of Auto-Balancing Device. Mechanics, 24 (2). https://doi.org/10.5755/j01.mech.24.2.20402
  20. Drach, I., Royzman, V., Bubulis, A., Juzėnas, K. (2021). Passive Balancing of the Rotor with an Auto-Balancing Device with a Viscous Incompressible Liquid. Mechanics, 27 (1), 45–51. https://doi.org/10.5755/j02.mech.23789
  21. Royzman, V., Drach, I., Tkachuk, V., Pilkauskas, K., Čižauskas, G., Šulginas, A. (2019). Operation of Passive Fluid Self-Balancing Device at Resonance Transition Regime. Mechanics, 24 (6). https://doi.org/10.5755/j01.mech.24.6.22469
  22. Royzman, V., Drach, I., Bubulis, А. (2016). Movement of Working Fluid in the Field of Centrifugal Forces and Forces of Weight. Proceedings of 21th nternational scientific conference, MECHANIKA 2016, 222–224. Available at: https://elar.khmnu.edu.ua/items/73746ee0-fe74-46ad-98e4-641332f31c6e
  23. Dykha, A. V., Kuzmenko, A. G. (2016). Distribution of friction tangential stresses in the Courtney-Pratt experiment under Bowden’s theory. Journal of Friction and Wear, 37 (4), 315–319. https://doi.org/10.3103/s1068366616040061
Determination of the range of angular velocities of the auto-balancing mode for a vertical rotor system with a Leblanc-type balancer

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Published

2025-04-29

How to Cite

Drach, I., Dykha, O., Matiukh, S., & Dykha, M. (2025). Determination of the range of angular velocities of the auto-balancing mode for a vertical rotor system with a Leblanc-type balancer. Eastern-European Journal of Enterprise Technologies, 2(7 (134), 66–75. https://doi.org/10.15587/1729-4061.2025.324793

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Section

Applied mechanics