Methods of balancing of an axisymmetric flexible rotor by passive auto-balancers
DOI:
https://doi.org/10.15587/1729-4061.2017.101832Keywords:
flexible rotor, passive auto-balancer, auto-balancing, criterion for occurrence of auto-balancing, critical speeds of flexible rotorAbstract
The conditions for the occurrence of auto-balancing when balancing a flexible axisymmetric rotor by any number of passive auto-balancers of any type are determined. The problem is actual for the high-speed rotors working at supercritical speeds (rotors of aircraft engines, gas turbine engines of power plants, etc.).
The empirical criterion for the occurrence of auto-balancing is applied. Transformations were carried out on the example of the flexible axisymmetric rotor of constant section on two rigid hinge supports. The findings are applicable to rotors with another type of fixing.
It is established that auto-balancing of the rotor by n passive auto-balancers located in different correction planes is possible only if the rotor speed exceeds the n-th critical speed. The number of auto-balancers can be arbitrary. Between the critical rotor speeds, additional critical speeds appear. Auto-balancing occurs whenever the rotor passes a critical speed and disappears whenever the rotor passes an additional critical speed.
If n auto-balancers are located in the n nodes of the rotor flexural (n+1)-th mode, the j·n-th additional critical rotor speed matches with the j(n+1)-th critical speed, /j=1, 2, 3,…/. When balancing the flexible rotor between the n-th and (n+1)-th critical speeds, such number and placement of auto-balancers are optimum. Auto-balancers at the same time balance the first n distributed modal unbalances and do not respond to the (n+1)-th ones.
The additional critical speeds are due to the installation of the auto-balancers on the rotor. Upon transition to them, the behavior of auto-balancers changes. At slightly lower rotor speeds, the auto-balancers reduce the rotor unbalance, and at slightly higher ones – increase it.References
- Shchepetilnikov, V. A. (Ed.) (1975). Osnovy balansirovochnoi tekhniki [Fundamentals of balancing technique]. Vol. 2. Uravnoveshivanie gibkih rotorov i balansirovochnoe oborudovanie. Moscow: Mashinostroenie, 679.
- Ishida, Y., Yamamoto, T. (2012). Linear and Nonlinear Rotordynamics. Wiley-VCH, 474. doi: 10.1002/9783527651894
- Filimonihin, G. B. (2004). Zrivnovazhennja i vibrozahyst rotoriv avtobalansyramy z tverdymy koryguval'nymy vantazhamy [Balancing and protection from vibrations of rotors by autobalancers with rigid corrective weights]. Kirovograd: KNTU, 352.
- Filimonikhin, G., Filimonikhina, I., Dumenko, K., Lichuk, M. (2016). Empirical criterion for the occurrence of auto-balancing and its application for axisymmetric rotor with a fixed point and isotropic elastic support. Eastern-European Journal of Enterprise Technologies, 5 (7 (83)), 11–18. doi: 10.15587/1729-4061.2016.79970
- Filimonikhin, G., Filimonikhina, I., Yakymenko, M., Yakimenko, S. (2017). Application of the empirical criterion for the occurrence of auto-balancing for axisymmetric rotor on two isotropic elastic supports. Eastern-European Journal of Enterprise Technologies, 2 (7 (86)), 51–58. doi: 10.15587/1729-4061.2017.96622
- Sperling, L., Ryzhik, B., Duckstein, H. (2001). Two-plain automatic balancing. Machine Dynamics Problems, 25 (3/4), 139–152.
- Sperling, L., Ryzhik, B., Duckstein, H. (2004). Single-Plain Auto-Balancing of Rigid Rotors. Technische Mechanik, 24 (1), 1–24.
- Detinko, F. M. (1956). Ob ustoychivosti raboty avtobalansira dlya dinamicheskoy balansirovki [On the stability of work auto-balancer for dynamic balancing]. Proceedings of the Academy of Sciences of the USSR. Meh. and machine building, 4, 38–45.
- DeSmidt, H. A. (2009). Imbalance Vibration Suppression of a Supercritical Shaft via an Automatic Balancing Device. Journal of Vibration and Acoustics, 131 (4), 041001. doi: 10.1115/1.3025834
- Bykov, V. G., Melnikov, A. E. (2010). A mathematical model of a flexible rotor using the generalized Lagrangian coordinates. Vestnik of Saint-Petersburg State University. Series 1. Mathematics. Mechanics. Astronomy, 4, 110–118.
- Bykov, V. G., Melnikov, A. E. (2011). Automatic balancing of the disk on flexible massive shaft. Vestnik of Saint-Petersburg State University. Series 1. Mathematics. Mechanics. Astronomy, 2, 116–126.
- Ehyaei, J., Moghaddam, M. M. (2009). Dynamic response and stability analysis of an unbalanced flexible rotating shaft equipped with n automatic ball-balancers. Journal of Sound and Vibration, 321 (3-5), 554–571. doi: 10.1016/j.jsv.2008.10.019
- Yu, H. H., Chung-Jen, L. (2015). Application of automatic balancers on a flexible-shaft rotor system. The 22nd International Congress on Sound and Vibration, ICSV22, 5, 3762–3770.
- Majewski, T., Szwedowicz, D., Melo, M. A. M. (2015). Self-balancing system of the disk on an elastic shaft. Journal of Sound and Vibration, 359, 2–20. doi: 10.1016/j.jsv.2015.06.035
- Goncharov, V., Filimonikhin, G., Dumenko, K., Lychuk, M. (2016). Studying the peculiarities of balancing of flexible double-support rotors by two passive automatic balancers placed near supports. Eastern-European Journal of Enterprise Technologies, 4 (7 (82)), 4–9. doi: 10.15587/1729-4061.2016.75115
- Goncharov, V., Nevdakha, A., Nevdakha, Y., Gutsul, V. (2016). Research of stability and transition processes of the flexible double-support rotor with auto-balancers near support. Eastern-European Journal of Enterprise Technologies, 6 (7 (84)), 22–27. doi: 10.15587/1729-4061.2016.85461
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Copyright (c) 2017 Gennadiy Filimonikhin, Irina Filimonikhina, Kostyantyn Dumenko, Vladimir Pirogov
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