Skip to main content
Log in

Influence of fluid film bearing nonlinearities on monitoring the fluid-induced instability threshold

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In rotor dynamics, one of the most common ways for modelling hydrodynamic forces is through the linear coefficients of stiffness and damping since this approach is much less time-consuming. However, in several situations, the rotating system has highly nonlinear behaviour. In these, methods to calculate the hydrodynamic forces in their true nature, without any further simplifications, are required, such as in the fluid-induced instability regime. Therefore, the present work compares numerical vibration data in the time and frequency domains for a real turbine rotor, using linear and nonlinear models to represent the dynamics of hydrodynamic bearings with different geometries. The main analyses are focused on evaluating the effects of nonlinearities on the system’s instability threshold and proposing a way to monitor this process. As a result of using the proposed method, it was observed at the instability threshold, determined in the nonlinear run-up simulations, the excitation of several frequencies and not only the natural frequency as would be expected. This fact evidences the nonlinear character of the phenomenon and the importance of considering nonlinear models to assess the instability threshold of rotating systems. It is concluded that the proposed analysis can monitor the onset of fluid-induced instability in real-time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

Data availability

All data and materials as well as software application and custom code used to make this paper can be available on reasonable request. It is hereby confirmed on behalf of all authors the authorship of the paper.

References

  1. Pršić, N., Fragassa, C., Stojanović, V., Pavlovic, A.: Simulation of hydraulic check valve for forestry equipment. Int. J. Heavy Veh. Syst. 24(3), 260 (2017)

    Article  Google Scholar 

  2. Tao, H., Li, J., Chen, Y., Stojanović, V., Yang, H.: Robust point-to-point iterative learning control with trial-varying initial conditions. IET Control Theory Appl. 14(19), 3344–3350 (2020)

    Article  MathSciNet  Google Scholar 

  3. Yu, X., Liang, W., Zhang, L., Jin, H., Qiu, J.: Dual-tree complex wavelet transform and SVD based acoustic noise reduction and its application in leak detection for natural gas pipeline. Mech. Syst. Signal Process. 72–73, 266–285 (2015)

    Google Scholar 

  4. Lund, J.W., Thomsen, K.K.: A Calculation Method and Data for the Dynamic Coefficients of Oil-Lubricated Journal Bearings. Topics in Fluid Bearing and Rotor Bearing System Design and Optimization, pp. 11–28. ASME, New York (1978)

    Google Scholar 

  5. Lund, J.W.: Review of the concept of dynamic coefficients for fluid film journal bearings. ASME J. Tribol. 109, 37–41 (1987)

    Article  Google Scholar 

  6. Hattori, H.: Dynamic analysis of a rotor-journal bearing system with large dynamic loads (stiffness and damping coefficients variation in bearing oil films). JSME Int. J. Ser. C36(2), 251–257 (1993)

    Google Scholar 

  7. Khonsari, M.M., Chang, Y.J.: Stability boundary of nonlinear orbits within clearance circle of journal bearings. J. Vib. Acoust. 115, 303–307 (1993)

    Article  Google Scholar 

  8. Machado, T.H., Alves, D.S., Cavalca, K.L.: Discussion about nonlinear boundaries for hydrodynamic forces in journal bearings. Nonlinear Dyn. (2018). https://doi.org/10.1007/s11071-018-4177-2

    Article  Google Scholar 

  9. Smolík, L., Rendl, J., Dyk, S., Polach, P., Hajzman, M.: Threshold stability curves for a nonlinear rotor-bearing system. J. Sound Vib. 442, 698–713 (2018)

    Article  Google Scholar 

  10. Muszynska, A.: Whirl and whip—rotor bearing stability problems. J. Sound Vib. 110(3), 443–462 (1986)

    Article  Google Scholar 

  11. Castro, H.F., Cavalca, K.L., Nordmann, R.: Whirl and whip instabilities in rotor-bearing system considering a nonlinear force model. J. Sound Vib. 317, 273–293 (2008)

    Article  Google Scholar 

  12. Mendes, R.U., Cavalca, K.L.: On the instability threshold of journal bearing supported rotors. Int. J. Rotating Mach. Article ID 351261 (2014)

  13. Chatzisavvas, I., Boyaci, A., Koutsovasilis, P.: Influence of hydrodynamic thrust bearings on the nonlinear oscillations of high-speed rotors. J. Sound Vib. 380, 224–241 (2016)

    Article  Google Scholar 

  14. Garoli, G.Y., Castro, H.F.: Analysis of a rotor-bearing nonlinear system model considering fluid-induced instability and uncertainties in bearings. J. Sound Vib. 448, 108–129 (2019)

    Article  Google Scholar 

  15. Huang, Y., Tian, Z., Chen, R., Cao, H.: A simpler method to calculate instability threshold speed of hydrodynamic journal bearings. Mech. Mach. Theory 108, 209–216 (2017)

    Article  Google Scholar 

  16. Das, A.S., Nighil, M.C., Dutt, J.K., Irretier, H.: Vibration control and stability analysis of rotor-shaft system with electromagnetic exciters. Mech. Mach. Theory 43, 1295–1316 (2008)

    Article  Google Scholar 

  17. Das, A.S., Nighil, M.C., Dutt, J.K., Irretier, H.: Fluid-induced instability elimination of rotor-bearing system with an electromagnetic exciter. Int. J. Mech. Sci. 52, 581–589 (2010)

    Article  Google Scholar 

  18. Vakakis, A.F., Gendelman, O.V., Bergman, L.A., McFarland, D.M., Kerschen, G., Lee, Y.S.: Nonlinear targeted energy transfer in mechanical and structural systems. In: Solid Mechanics and its Applications, p. 647. Springer (2009). https://doi.org/10.1007/978-1-4020-9130-828

  19. Elnady, M.E., Sinha, J.K., Oyadiji, S.O.: Identification of critical speeds of rotating machines using on-shaft wireless vibration measurement. J. Phys. Conf. Ser. 364, 012142 (2012)

    Article  Google Scholar 

  20. Kruger, A.: Transient Dynamic Finite Element Modelling of Flexible Rotor Systems, Dissertation form, University of Pretoria (2014)

  21. Bucher, I.: Experimental decomposition of vibration, whirl and waves in rotating and non-rotating parts. In: IUTAM Symposium on Emerging Trends in Rotor Dynamics, B-S 25 (2011)

  22. Dekys, V., Kalman, P., Hanak, P., Novak, P., Stankovicova, Z.: Determination of vibration sources by using STFT. Proc. Eng. 177, 496–501 (2017)

    Article  Google Scholar 

  23. Li, Q., Wang, W., Chen, L., Sun, D.: Rotor-system log-decrement identification using short-time Fourier-transform filter. Int. J. Rotating Mach. Article ID 809785 (2015)

  24. Su, Y., Gu, Y., Keogh, P.S., Yu, S., Ren, G.: Nonlinear dynamic simulation and parametric analysis of a rotor-AMB-TDB system experiencing strong base shock excitations. Mech. Mach. Theory 155, 104071 (2021)

    Article  Google Scholar 

  25. Tao, H., Wang, P., Chen, Y., Stojanovic, V., Yang, H.: An unsupervised fault diagnosis method for rolling bearing using STFT and generative neural networks. J. Frankl. Inst. 357, 7286–7307 (2020)

    Article  MathSciNet  Google Scholar 

  26. Wang, N., Jiang, D., Behdinan, K.: Vibration response analysis of rubbing faults on a dual-rotor bearing system. Arch. Appl. Mech. 87, 1891–1907 (2017)

    Article  Google Scholar 

  27. Wang, N., Liu, C., Jiang, D., Behdinan, K.: Casing vibration response prediction of dual-rotor-blade-casing system with blade-casing rubbing. Mech. Syst. Signal Process. 118, 61–77 (2019)

    Article  Google Scholar 

  28. Wang, N., Jiang, D.: Vibration response characteristics of a dual-rotor with unbalance-misalignment coupling faults: theoretical analysis and experimental study. Mach. Theory 125, 207–219 (2018)

    Article  Google Scholar 

  29. Machado, T.H., Cavalca, K.L.: Modeling of hydrodynamic bearing wear in rotor-bearing systems. Mech. Res. Commun. (2015). https://doi.org/10.1016/j.mechrescom.2015.05.008

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank Coordination of Superior Level Staff Improvement – CAPES, National Council for Scientific and Technological Development – CNPq, Grant # 424899/2018-3, and Grants # 2017/07454-8 and # 2018/21581-5 from the São Paulo Research Foundation (FAPESP) for the financial support to this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tiago Henrique Machado.

Ethics declarations

Conflict of interest

The authors guarantee that the manuscript complies with the Ethical Rules applicable for this journal; there are no potential conflicts of interest and research does not involve human participants and/or animals.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Viana, C.A.A., Alves, D.S. & Machado, T.H. Influence of fluid film bearing nonlinearities on monitoring the fluid-induced instability threshold. Nonlinear Dyn 108, 1987–2006 (2022). https://doi.org/10.1007/s11071-022-07302-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-022-07302-z

Keywords

Navigation