Dynamic Modeling of the Blade-Rotor-Shaft-Bearing System with SFD

Authors

  • Ri CholUk  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea
  • Zhang ZhunHyok  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea
  • Chae ChungHyok  Kim Il Sung, University, Pyongyang, 999093, Democratic People's Republic of Korea
  • Kim RyongSop  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea
  • Pak CholJin  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea
  • Han JongMin  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea
  • Min InHyok  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, Democratic People's Republic of Korea

Keywords:

Dynamic Modelling, Squeeze Film Damper, Blade-Rotor-Shaft-Bearing System, Nonlinear Characteristics, Stability.

Abstract

There are often a large number of blades on the rotating shafts of rotating machinery such as steam turbine engines, aero engines, and compressors. In actual work, forces are transferred between the shafting and the blades. However, most of the current researches separate the blade from the rotor-bearing system, and study the vibration characteristics of the blade system and the nonlinear behavior of the rotor system separately. As a result, the interaction between the blade and the rotor-bearing system is fragmented, and the coupling vibration between the blade-disk-bearing system is ignored, which will inevitably affect the accuracy of the analysis. With the gradual increase of modern rotating machinery's high speed, light structure and the gradual increase of blade length, the degree of coupling between the blade and the rotor-bearing system has become tighter. Therefore, it is necessary to study the coupling effect of blade, disc and rotor vibration. At the same time, there are a lot of nonlinear phenomena in the rotor during operation. However, there are still relatively few studies on the nonlinearity of the blade-rotor-bearing system. A research project was carried out to create a dynamic equation of a blade-rotor-bearing-shaft system. Firstly, the model of a BRSB system is developed with consideration the rubbing between the blade-tip and casing by using contact dynamics theory. Next, Timoshenko beam elements are adopted to simulate the shaft and the blade, and shell elements to simulate the disk, and spring-damping elements to simulate the ball bearings. This dynamic modelling has certain significance in analysing the nonlinear characteristics and improving the stability of the rotor system.

References

  1. Nelson H D, McVaugh J M. The dynamics of rotor-bearing systems using finite elementsJ]. 1976.
  2. Nelson H D. A finite rotating shaft element using Timoshenko beam theoryJ]. 1980.
  3. Oncescu F, Lakis A A, Ostiguy G. Investigation of the stability and steady state response of asymmetric rotors, using finite element formulationJ]. Journal of Sound and Vibration, 2001, 245(2): 303-328.
  4. Mohiuddin M A, Bettayeb M, Khulief Y A. Dynamic analysis and reduced order modelling of flexible rotor-bearing systemsJ]. Computers & structures, 1998, 69(3): 349-359.
  5. Friswell M I, Garvey S D, Penny J E T, et al. Computing critical speeds for rotating machines with speed dependent bearing propertiesJ]. Journal of sound and vibration, 1998, 213(1): 139-158.
  6. Ku D M. Finite element analysis of whirl speeds for rotor-bearing systems with internal dampingJ]. Mechanical Systems and Signal Processing, 1998, 12(5): 599-610.
  7. Kalita M, Kakoty S K. Analysis of whirl speeds for rotor-bearing systems supported on fluid film bearingsJ]. Mechanical Systems and Signal Processing, 2004, 18(6): 1369-1380.
  8. Phadatare H P, Pratiher B. Nonlinear modeling, dynamics, and chaos in a large deflection model of a rotor–disk–bearing system under geometric eccentricity and mass unbalanceJ]. Acta Mechanica, 2020, 231(3): 907-928.
  9. Cao D Q, Wang L G, Chen Y S, et al. Bifurcation and chaos of the bladed overhang rotor system with squeeze film dampersJ]. Science in China Series E: Technological Sciences, 2010(03):709-720.
  10. Li C, She H, Tang Q, et al. The effect of blade vibration on the nonlinear characteristics of rotor–bearing system supported by nonlinear suspensionJ]. Nonlinear Dynamics, 2017.
  11. B H M , A Y L , A Z W , et al. Vibration response analysis of a rotational shaft–disk–blade system with blade-tip rubbingJ]. International Journal of Mechanical Sciences, 2016, 107:110-125.

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Published

2021-09-30

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Section

Research Articles

How to Cite

[1]
Ri CholUk, Zhang ZhunHyok, Chae ChungHyok, Kim RyongSop, Pak CholJin, Han JongMin, Min InHyok, " Dynamic Modeling of the Blade-Rotor-Shaft-Bearing System with SFD, IInternational Journal of Scientific Research in Mechanical and Materials Engineering(IJSRMME), ISSN : 2456-3307, Volume 5, Issue 5, pp.01-09, September-October-2021.