Skip to main content
Log in

Steady-state response characteristics of a dual-rotor system induced by rub-impact

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

Abstract

In this paper, the steady-state responses and their stability of a dual-rotor system with rub-impact are investigated. The nonlinear equations of motion in eight d.o.f.s are obtained with the consideration of the gyroscopic effect. The multi-harmonic balance combined with the alternating frequency/time domain technique (MHB–AFT) is utilized to calculate the accurate amplitude of each harmonic component. Arc-length continuation is embedded in the MHB–AFT procedure to trace the branch of the periodic solutions, and the Floquet theory is used to discuss the stability of the obtained solutions. Through the numerical calculation, complicated nonlinear phenomena, such as combined harmonic vibrations, hysteresis and resonant peak shifting are obtained when the rub-impact occurs. The result also shows that the control parameters such as mass eccentricity, inter-shaft stiffness and rotational speed ratio make significant but different influences on the dynamic characteristics of the two rotors. Therefore, the contribution of this study is to provide a further understanding of the steady-state response characteristics of the dual-rotor system with rub-impact.

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

Similar content being viewed by others

References

  1. Muszynska, A.: Rotor-to-stationary element rub-related vibration phenomena in rotating machinery. Shock Vib. Dig. 21, 3–11 (1989)

    Article  Google Scholar 

  2. Ahmad, S.: Rotor casing contact phenomenon in rotor dynamics–literature survey. J. Vib. Control 16(9), 1369–1377 (2010)

    Article  Google Scholar 

  3. Jiang, J., Chen, Y.H.: Advances in the research on nonlinear phenomena in rotor/stator rubbing systems. Adv. Mech. 43(1), 132–148 (2013)

    MathSciNet  Google Scholar 

  4. Zhou, H.L., Chen, G.: Dynamic response analysis of dual rotor-ball bearing-stator coupling system for aero-engine. J. Aerosp. Power 24(6), 1284–1291 (2009)

    Google Scholar 

  5. Han, Q.K., Luo, H.T., Wen, B.C.: Simulations of a dual-rotor system with local rub-impacts based on rigid-flexible multi-body model. Key Eng. Mater. 413, 677–682 (2009)

    Article  Google Scholar 

  6. Chen, S.T., Wu, Z.Q.: Rubbing vibration analysis for a counter-rotating dual-rotor system. J. Vib. Shock 31(23), 142–147 (2012)

    Google Scholar 

  7. Shan, Y.C., Liu, X.D., He, T., Li, Q.H.: Research on the finite element impact-contact analytical model of dual-rotor system and its diagnosis method. J. Aerosp. Power 20(5), 789–794 (2005)

    Google Scholar 

  8. Wang, S.J., Liao, M.F., Jiang, Y.F., Ding, X.F.: Experimental study on local rub-impact fault of counter-rotoring dual-rotor. J. Propuls. Technol. 34(1), 31–36 (2013)

    Google Scholar 

  9. Chua, L.O., Ushida, A.: Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies. IEEE Trans. Circuits Syst. 28(10), 953–971 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kim, Y.B., Noah, S.T.: Quasi-periodic response and stability analysis for a non-linear Jeffcott rotor. J. Sound Vib. 190(2), 239–253 (1996)

    Article  Google Scholar 

  11. Kim, Y.B., Choi, S.K.: A multiple harmonic balance method for the internal resonant vibration of a non-linear Jeffcott rotor. J. Sound Vib. 208(5), 745–761 (1997)

    Article  Google Scholar 

  12. Guskov, M., Sinou, J.J., Thouverez, F.: Multi-dimensional harmonic balance applied to rotor dynamics. Mech. Res. Commun. 35(8), 537–545 (2008)

    Article  MATH  Google Scholar 

  13. Zucca, S., Firrone, C.M.: Nonlinear dynamics of mechanical systems with friction contacts: coupled static and dynamic multi-harmonic balance method and multiple solutions. J. Sound Vib. 333(3), 916–926 (2014)

    Article  Google Scholar 

  14. Akgün, D., Cankaya, I.: Frequency response investigations of multi-input multi-output nonlinear systems using automated symbolic harmonic balance method. Nonlinear Dyn. 61(4), 803–818 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Pušenjak, R.R., Oblak, M.M.: Incremental harmonic balance method with multiple time variables for dynamical systems with cubic nonlinearities. Int. J. Numer. Methods Eng. 59(2), 255–292 (2004)

    Article  MATH  Google Scholar 

  16. Hou, L., Chen, Y.S., Cao, Q.J.: Nonlinear vibration phenomenon of an aircraft rub-impact rotor system due to hovering flight. Commun. Nonlinear Sci. 19(1), 286–297 (2014)

    Article  MathSciNet  Google Scholar 

  17. Liu, L., Cao, D.Q., Sun, S.P.: Dynamic characteristics of a disk-drum-shaft rotor system with rub-impact. Nonlinear Dyn. 80(1–2), 1017–1038 (2015)

  18. Lam, W.F., Morley, C.T.: Arc-length method for passing limit points in structural calculation. J. Struct. Eng. 118(1), 169–185 (1992)

  19. Peletan, L., Baguet, S., Torkhani, M.: Quasi-periodic harmonic balance method for rubbing self-induced vibrations in rotor-stator dynamics. Nonlinear Dyn. 78(4), 2501–2515 (2014)

    Article  Google Scholar 

  20. Von Groll, G., Ewins, D.J.: The harmonic balance method with arc-length continuation in rotor/stator contact problems. J. Sound Vib. 241(2), 223–233 (2001)

    Article  Google Scholar 

  21. Seydel, R.: Practical Bifurcation and Stability Analysis. Springer, New York (2010)

    Book  MATH  Google Scholar 

  22. Huang, X.D., Zeng, Z.G., Ma, Y.N.: The Theory and Methods for Nonlinear Numerical Analysis. Wuhan University Press, Wuhan (2004)

    Google Scholar 

  23. Chen, Y.S.: Nonlinear Vibrations. Higher Education Press, Beijing (2002)

    Google Scholar 

  24. Hsu, C.S.: Impulsive parametric excitation: theory. J. Appl. Mech. 39, 551–558 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  25. Hsu, C.S., Cheng, W.H.: Applications of the theory of impulsive parametric excitation and new treatments of general parametric excitation problems. J. Appl. Mech. 40, 78–86 (1973)

    Article  MATH  Google Scholar 

  26. Zhang, H.B., Chen, Y.S.: Bifurcation analysis on full annular rub of a nonlinear rotor system. Sci. China Technol. Sci. 54(8), 1977–1985 (2011)

    Article  MATH  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge the financial supports from the National Basic Research Program (973 Program) of China (Grant No. 2015CB057400) and the China Postdoctoral Science Foundation (Grant No. 2016M590277).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lei Hou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sun, C., Chen, Y. & Hou, L. Steady-state response characteristics of a dual-rotor system induced by rub-impact. Nonlinear Dyn 86, 91–105 (2016). https://doi.org/10.1007/s11071-016-2874-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-016-2874-2

Keywords

Navigation