Dynamic Modelling of the Rotor System with the Squeeze Film Damper

Authors

  • Ri CholUk  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • Zhang ZhunHyok  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • Chae ChungHyok  Kim Il Sung University, Pyongyang, 999093, Democratic People's Republic of Korea
  • Ho PongGuk  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • Ri SonBong  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • Zhang Ryong  Kim Il Sung University, Pyongyang, 999093, Democratic People's Republic of Korea
  • Choe KwangHui  Pyongyang University of Mechanical Engineering, Democratic People's Republic of Korea

Keywords:

Squeeze film damper, Dual rotor system, Single rotor system, Dynamic modelling, Rolling bearing

Abstract

The main function of extruded oil film damper is to reduce the amplitude of the supporting external force and the resonance of the rotor. Because of its simple structure, light weight, small volume and good vibration reduction performance, it has been widely used in modern aero-engines. As the basic structure of the engine, the rotor system is the main source of engine vibration due to its unbalance characteristics and vibration in the critical speed region. Therefore, it has become a trend to equip the extruder film damper on the aero-engine. Generally, due to the influence of processing technology, structure dead weight, structure design and assembly technology, the extruded oil film damper itself has static eccentricity, which affects the stable operation of the system to a certain extent. Therefore, the theoretical research on the vibration characteristics of the extruded oil film damper rotor system has very important engineering value and practical significance. Therefore, in this dissertation, the task of research was to create a mathematical model of the rotor system with and without the squeeze film damper. First, the model of a single rotor system with and without the squeeze film damper was made. The modeling method of a simple single rotor system with one disk and two supports was specifically mentioned. Next, the mathematical modelling method of the dual rotor system with and without the squeeze film damper was mentioned. The dual rotor system is composed of a low-pressure rotor part and a high-pressure rotor part. Firstly, the mathematical model of low pressure rotor system of double rotor system was built. In modelling, the effects of asymmetry, mass eccentricity, and gyroscopic effect of the low-pressure rotor system and the squeeze film damper were fully considered and the differential equation of the low-pressure rotor system was written by utilizing Lagrange equation. Next, a differential equation of a high pressure rotor system was formulated, considering sufficient conditions such as low pressure rotor system.

References

  1. Dutt J. K. Stability characteristics of rotating systems with journal bearings on viscoelastic support J], Mechanism and Machine Theory, 1996, 31(6): 771-779.
  2. Kang Y. An investigation in stiffness effects on dynamics of rotor-bearing-foundation systems J], Journal of Sound and Vibration, 2000, 231(2):343-374.
  3. Nelson H. D., Vaugh J. M. Mc. The dynamics of rotor-bearing systems using finite elements J], Journal of Engineering for Industry, 1976, 98: 593-600.
  4. Nelson HI D. A finite rotating shaft element using Timoshenko beam theory J], Journal of Mechanical Design ASME, 1980, 102: 793-803.
  5. Oncescu F., etc. 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.
  6. Mohiuddin M. A., Bettayeb M. Dynamic analysis and reduced order modeling of flexible rotor-bearing systemsJ], Computers and Structure,1998,69:349-359.
  7. Friswell M. I. Computing critical speeds for rotating machines with speed dependent earing properties J], Journal of Sound and Vibration, 1998, 213(1): 139-158.
  8. Ku D. M. Finite element analysis of natural whirl speeds for rotor-bearing systems with internal dampingJ], Journal of Mechanical Systems and Signal Processing, 1998,12(5):599-610.
  9. Madhumita Kalita. Analysis of whirl speeds for rotor-bearing systems supported on fiuid film bearings J], Mechanical Systems and Signal Processing, 2004, 18: 1369-1380.7.
  10. Pingchao Yu, Dayi Zhang, etc. Dynamic modeling and vibration characteristics analysis of the aero-engine dual-rotor system with Fan blade out, Mechanical Systems and Signal Processing, 2018, 106: 158–175.
  11. Zhenyong Lu, Shun Zhong, etc. Modeling and Dynamic Characteristics Analysis of Blade-Disk Dual-Rotor System, Complexity, 2020, 1-13.
  12. Harris T A, Anderson W J. Rolling Bearing Analysis J Journal of Lubrication Technology, 1967, 89(4):521.
  13. Zhao J Y, Linnett I W, Mclean L J. Stability and Bifurcation of Unbalanced Response of a Squeeze Film Damped Flexible Rotor J Journal of Tribology, 1994, 116(2):361-368.
  14. Cunningham R E, Fleming D P, Gunter E J. Design of a Squeeze-Film Damper for a Multi-Mass Flexible Rotor J Journal of Engineering for Industry, 1975, 97(4):96-96.
  15. Sykes J, Holmes R. The effects of bearing misalignment on the nonlinear vibration of aero-engine rotor–damper assemblies J Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering, 1990, 204(27):83-99.
  16. Adiletta G. Bifurcating behaviour of a rotor on two-lobe wave squeeze film damper J Tribology International, 2015.
  17. Kuo C. Bifurcation and chaos for porous squeeze film damper mounted rotor–bearing system lubricated with micropolar fluid J Nonlinear Dynamics, 2009.
  18. Chen H, Lei H, Chen Y, et al. Dynamic characteristics of flexible rotor with squeeze film damper excited by two frequencies J Nonlinear Dynamics, 2016, 87(4):1-19.
  19. Wang S, Liao M, Wei L. Vibration Characteristics of Squeeze Film Damper during Maneuver Flight J International Journal of Turbo & Jet-Engines, 2015, 32.
  20. Zhou H L, Luo G H, Chen G, et al. Two dynamic models of dual clearance squeeze film damper and their verification J Tribology International, 2013, 66:187-193.

IInternational Journal of Scientific Research in Mechanical and Materials Engineering

Downloads

Published

2021-05-30

Issue

Volume 5, Issue 3, May-June-2021

Section

Research Articles

License

Copyright (c) IJSRMME

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Ri CholUk, Zhang ZhunHyok, Chae ChungHyok, Ho PongGuk, Ri SonBong, Zhang Ryong, Choe KwangHui, " Dynamic Modelling of the Rotor System with the Squeeze Film Damper, IInternational Journal of Scientific Research in Mechanical and Materials Engineering(IJSRMME), ISSN : 2456-3307, Volume 5, Issue 3, pp.62-77, May-June-2021.