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Archive of Applied Mechanics

, Volume 88, Issue 8, pp 1305–1324 | Cite as

Nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact

  • Chuanzong Sun
  • Yushu Chen
  • Lei Hou
Original
  • 167 Downloads

Abstract

In this paper, the nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact are investigated. A novel framework is proposed, in which the sophisticated geometrical structure is considered by finite solid element method and efficient model order reduction is applied to the model. The validity and efficiency of the reduced-order model are verified through critical speed and eigen problems. Its stable and unstable solutions are calculated by means of the assembly technique and the multiple harmonic balance method combined with the alternating frequency/time domain technique (MHB–AFT). The accurate frequency amplitudes are obtained accordingly for each harmonic component. The stabilities of the solutions are checked by the Floquet theory. Through the numerical computations, some complex nonlinear phenomena, such as combined frequency vibration, hysteresis, and resonant peak shifting, are discovered when the rub-impact occurs. The results also show that the control parameters of mass eccentricity, rub-impact stiffness, and rotational speed ratio make significant but different influences on the dynamical characteristics of the system. Therefore, a key innovation of this paper is the marriage of a hybrid modeling method—accurate modeling technique combined with model order reduction and solution method—highly efficient semi-analytic method of MHB–AFT. The proposed framework is benefit for parametric study and provides a better understanding of the nonlinear dynamical behaviors of the real complicated dual-rotor aero-engine with rub-impact.

Keywords

Complicated dual-rotor Rub-impact Reduced order model Floquet theory Hysteresis 

Notes

Acknowledgements

The authors would like to acknowledge the financial supports from the National Key Basic Research Program (973 Program) of China (Grant No. 2015CB057400), the National Natural Science Foundation of China (Grant No. 11602070), and China Postdoctoral Science Foundation (Grant No. 2016M590277).

References

  1. 1.
    Chen, Y.S., Zhang, H.B.: Review and prospect on the research of dynamics of complete aero-engine systems. Hangkong Xuebao/acta Aeronautica Et Astronautica Sinica 32(8), 1371–1391 (2011)Google Scholar
  2. 2.
    Goldman, P., Muszynska, A.: Rotor to stator, rub-related, thermal/mechanical effects in rotating machinery. Chaos Soliton Fractals 5(9), 1579–1601 (1995)CrossRefGoogle Scholar
  3. 3.
    Chu, F., Zhang, Z.: Bifurcation and chaos in a rub-impact Jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)CrossRefGoogle Scholar
  4. 4.
    Zhang, L., Ma, Z., Song, B.: Dynamic characteristics of a rub-impact rotor-bearing system for hydraulic generating set under unbalanced magnetic pull. Arch. Appl. Mech. 83(6), 817–830 (2013)CrossRefzbMATHGoogle Scholar
  5. 5.
    Zhang, L., Ma, Z., Wu, Q.: Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation. Arch. Appl. Mech. 86(9), 1665–1679 (2016)CrossRefGoogle Scholar
  6. 6.
    Diken, H.: Nonlinear vibration analysis and sub-harmonic whirl frequencies of the Jeffcott rotor model. J. Sound Vib. 243(1), 117–125 (2001)CrossRefGoogle Scholar
  7. 7.
    Jiang, J., Ulbrich, H.: Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients. Nonlinear Dyn. 24(3), 269–283 (2001)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Shen, X.Y., Jia, J., Zhao, M.: Nonlinear analysis of a rub-impact rotor-bearing system with initial permanent rotor bow. Arch. Appl. Mech. 78(3), 225–240 (2008)CrossRefzbMATHGoogle Scholar
  9. 9.
    Shang, Z., Jiang, J., Hong, L.: The global responses characteristics of a rotor/stator rubbing system with dry friction effects. J. Sound Vib. 330(10), 2150–2160 (2011)CrossRefGoogle Scholar
  10. 10.
    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)CrossRefzbMATHGoogle Scholar
  11. 11.
    Chen, G.: A new rotor-ball bearing-stator coupling dynamics model for whole aero-engine vibration. J. Vib. Acoust. 131(6), 1980–1998 (2009)Google Scholar
  12. 12.
    Rouch, R.W.S.E.: Modeling rotating shafts using axisymmetric solid finite elements with matrix reduction. J Vib. Acoust. 115(4), 484–489 (1993)CrossRefGoogle Scholar
  13. 13.
    Kozhenkov, A.A., Deitch, R.S., Kozhenkov, A.A.: Three-dimensional finite element simulation of nonlinear dynamic rotor systems of a turbocharger. J Vib. Acoust. 130(3), 263–269 (2008)CrossRefGoogle Scholar
  14. 14.
    Ma, W.M., Wang, J.J., Wang, Z.: Frequency and stability analysis method of asymmetric anisotropic rotor-bearing system based on three-dimensional solid finite element Method. J. Eng. Gas Turb. Power-T ASME 137(10), 102502:1–9 (2015)Google Scholar
  15. 15.
    Khot, S.M., Yelve, N.P.: Modeling and response analysis of dynamic systems by using ANSYS (c) and MATLAB (c). J. Vib. Control. 17(6), 953–958 (2011)CrossRefzbMATHGoogle Scholar
  16. 16.
    Holl, H.J.: A modal-based substructure method applied to nonlinear rotordynamic systems. Int. J. Rotating Mach. 2009, 1–8 (2009)Google Scholar
  17. 17.
    Batailly, A., Legrand, M., Cartraud, P.: Assessment of reduced models for the detection of modal interaction through rotor stator contacts. J. Sound Vib. 329(26), 5546–5562 (2010)CrossRefGoogle Scholar
  18. 18.
    Legrand, M., Batailly, A., Magnain, B.: Full three-dimensional investigation of structural contact interactions in turbo machines. J. Sound Vib. 331(11), 2578–2601 (2012)CrossRefGoogle Scholar
  19. 19.
    Iwatsubo, T., Shimbo, K., Kawamura, S.: Nonlinear vibration analysis of a rotor system using component mode synthesis method. Arch. Appl. Mech. 72(11), 843–855 (2003)zbMATHGoogle Scholar
  20. 20.
    Li, D.F., Gunter, E.J.: Component mode synthesis of large rotor systems. J. Eng. Gas Turb. Power-T ASME 104(3), 552–560 (1981)CrossRefGoogle Scholar
  21. 21.
    Yang, X.G., Luo, G.H., Yuan, P.: Application and verification of the modal synthesis method in dual-rotor system modeling. Mech. Sci. Technol. Aerosp. Eng. 33(10), 1450–1454 (2014)Google Scholar
  22. 22.
    Kim, Y.B., Choi, S.K.: A multiple harmonic balance method for the internal resonant vibration of a nonlinear Jeffcott rotor. J Sound Vib. 208(5), 745–761 (1997)CrossRefGoogle Scholar
  23. 23.
    Guskov, M., Sinou, J.J., Thouverez, F.: Multi-dimensional harmonic balance applied to rotor dynamics. Mech. Res. Commun. 35(8), 537–545 (2008)CrossRefzbMATHGoogle Scholar
  24. 24.
    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)CrossRefGoogle Scholar
  25. 25.
    Pušenjak, R.R., Oblak, M.M.: Incremental harmonic balance method with multiple time variables for dynamical systems with cubic nonlinearities. Int. J. Numer. Method Eng. 59(2), 255–292 (2004)CrossRefzbMATHGoogle Scholar
  26. 26.
    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)MathSciNetCrossRefzbMATHGoogle Scholar
  27. 27.
    Hou, L., Chen, Y., Fu, Y.: Application of the HB-AFT method to the primary resonance analysis of a dual-rotor system. Nonlinear Dyn. 88(4), 1–21 (2017)CrossRefGoogle Scholar
  28. 28.
    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)CrossRefGoogle Scholar
  29. 29.
    Bampton, M.C.C., Jr, R.R.C.: Coupling of substructures for dynamic analyses. AIAA J. 4(7), 1313–1319 (2015)CrossRefzbMATHGoogle Scholar
  30. 30.
    Niordson, F.I.: Dynamics of Rotors. Springer, Berlin (2013)Google Scholar
  31. 31.
    Das, A.S., Dutt, J.K.: Reduced model of a rotor-shaft system using modified SEREP. Mech. Res. Commun. 35(6), 398–407 (2008)CrossRefzbMATHGoogle Scholar
  32. 32.
    Sun, C.Z., Chen, Y.S., Hou, L.: Steady-state response characteristics of a dual-rotor system induced by rub-impact. Nonlinear Dyn. 86, 91–105 (2016)CrossRefGoogle Scholar
  33. 33.
    Lam, W.F., Morley, C.T.: Arc-length method for passing limit points in structural calculation. J. Struct Eng-ASCE 118(1), 169–185 (1992)CrossRefGoogle Scholar
  34. 34.
    Seydel, R.: Practical Bifurcation and Stability Analysis. Springer, New York (2010)CrossRefzbMATHGoogle Scholar
  35. 35.
    Huang, X.D., Zeng, Z.G., Ma, Y.N.: The Theory and Methods for Nonlinear Numerical Analysis. Wuhan University Press, Wuhan (2004)Google Scholar
  36. 36.
    Chen, Y.S.: Nonlinear Vibrations. Higher Education Press, Beijing (2002)Google Scholar
  37. 37.
    Hsu, C.S.: Impulsive parametric excitation: theory. J. Appl. Mech. 39(2), 551–558 (1972)MathSciNetCrossRefzbMATHGoogle Scholar
  38. 38.
    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(1), 78–86 (1973)CrossRefzbMATHGoogle Scholar
  39. 39.
    Wang, S.J., Liao, M.F., Jiang, Y.F.: Experimental study on local rub-impact fault of counter-rotating dual-rotor. J. Propuls. Technol. 34(1), 31–36 (2013)Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of AstronauticsHarbin Institute of TechnologyHarbinPeople’s Republic of China

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