Assessment of Natural Oscillation Frequencies of Rotor for Development of Hard-Bearing Balancing Machine

  • S. O. GaponenkoEmail author
  • A. E. Kondratiev
  • I. R. Tazeev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


An imbalance appears during the manufacture, operation, and maintenance of power equipment. The rotor imbalance arises due to the unbalanced masses of the rotor which leads to the emergence of variable loads on the supports and bending of the rotor. The dynamic balancing of the rotor on the balancing machine is the way to avoid the negative effects of centrifugal forces. The balancing machines in resonant and soft-bearing modes are usually used on modern production. However, the soft-bearing method of balancing has a number of shortcomings, which can be solved by using the hard-bearing method. In particular, by using the hard-bearing method, it is possible to balance products with large initial imbalances and to increase the accuracy of balancing. The Autodesk Inventor CAD software was used for modeling of the balancing machine and the rotor. The modal analysis was conducted by using the block method of Lanczos on the basis of the ANSYS. The main assumption during the modal analysis process was that the form of free fluctuations is calculated in relative units and does not allow one to determine absolute shifts. The application of soft-bearing balancing method needs to be added in other ways, taking into account high requirements of the power equipment. A model of a hard-bearing balancing machine was designed for balancing rotors and rotating elements of power equipment. The natural oscillation frequencies of the 3D models of the balancing machine bed and the rotor of the gas turbine engine 16M were calculated to determine the informative frequency range that the rotor should be hard-bearing balanced.


Hard-bearing balancing machine Vibration Natural oscillation frequencies Unbalance Rotor Frequency range Autodesk Inventor CAD ANSYS 


  1. 1.
    Tazeyev IR (2017) Features of the construction of 3D-model of the balancing equipment. In: Materials of the XII international youth scientific conference on natural sciences and technical subjects. Volga state university of technology, Part 2, Yoshkar-Ola, p 192Google Scholar
  2. 2.
    Gaponenko SO, Kondratiev AE (2017) Device for calibration of piezoelectric sensors. Procedia Eng 206:146–150CrossRefGoogle Scholar
  3. 3.
    Gaponenko SO, Kondratiev AE, Kostyleva EE, Zagretdinov AR (2016) Device for calibration of piezoelectric sensors. In: Proceedings of the higher educational institutions. Energy Sect Probl 7–8:79–86Google Scholar
  4. 4.
    Gaponenko SO (2016) Installation for calibration of the device of low-frequency vibroacoustic control. In: International scientific and technical conference innovative machine-building technologies, the equipment and materials—2016 (ISTC “IMTEV-2016”), pp 288–292Google Scholar
  5. 5.
    Pashkov EN (2013) Definition of time of automatic balancing of a rotor at the established speed. Min InfAl Anal Bull (Sci Tech J) 4(1):476–482Google Scholar
  6. 6.
    Diouf P, Herbert W (2014) Understanding rotor balance for electric motors. In: Pulp and paper industry technical conference, conference record of 2014 annual. IEEE, pp 7–17Google Scholar
  7. 7.
    Qin R et al (2017) Study on the frequency compensation of the dynamic unbalance signal extraction for general hard bearing dynamic balancing machine. Appl Mech Mater 870:173–178 (Trans Tech Publications)CrossRefGoogle Scholar
  8. 8.
    Ziyakaev GR, Pashkov EN, Urnish VV (2013) Influence of friction on the accuracy of automatic balancing of rotors. In World Sci Discov 10.1(46):104–117Google Scholar
  9. 9.
    Doroshev Yu S, Nestrugin SV (2016) Practical balancing of rotors of electrical machines in own support. Electr Saf 4:3–8Google Scholar
  10. 10.
    Mamontov AV (2002) Methods of vibration diagnostics of unbalanced rotors for decrease in vibration and noise of the production equipment. Radio Electron Inform Sci Tech J 3:68–70Google Scholar
  11. 11.
    Sharapov V, Sotula J (2012) Piezoelectric transducers. New design technologies. J Electron Sci Technol Bus 5:096–102Google Scholar
  12. 12.
    Rezinskikh VF, Lukyanenko VA, Sargsyan VA (2013) Technique of nondestructive control of rotors of average and low pressure of turbines of thermal power plant without removal of mounted disks at repair of the equipment. Power Plants 8:44–50Google Scholar
  13. 13.
    Smirnov AN (2014) Analysis of damageability of rotors of steam turbines (review). Vestn Kuzbass State Tech Univ 2:102Google Scholar
  14. 14.
    Homenko AP, Yeliseyev SV (2012) Dynamic balancing of the rotating shaft as a form of dynamic clearing of fluctuations of mechanical systems. Mod Technol Syst Anal Model 3:35Google Scholar
  15. 15.
    Kochkin SV, Malev BA (2007) Method of measurement of an imbalance of rigid rotors in the mode of the spherical circulating movement. Univ Proc Volga RegN Tech Sci 3:105–115Google Scholar
  16. 16.
    Kravchenko VM (2009) Technical diagnosing of the mechanical equipment: the textbook for students of higher education institutions. OOO YUgo-Vostok, Ltd., Donetsk, p 458Google Scholar
  17. 17.
    Sidorov VA, Sotnikov AL, Sushko AE, Cyba SA (2009) Technique of assessment of economic efficiency of balancing of rotors under production conditions. Vibration of mashines: measurement, decrease, protection. Univ Proc Volga RegN Tech Sci, 38–43Google Scholar
  18. 18.
    Xu ZH, Cui ZQ, Zhang T (2012) Modal analysis of 6300 diesel engine crankshaft based on ANSYS. MeikuangJixie (Coal Mine Mach) 33(2):102–103Google Scholar
  19. 19.
    Smirnov VA (2015) Vibration measurement bases. Accessed 20 Jan 2015

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • S. O. Gaponenko
    • 1
    Email author
  • A. E. Kondratiev
    • 1
  • I. R. Tazeev
    • 1
  1. 1.Kazan State Power Engineering University (KSPEU)KazanRussia

Personalised recommendations