Skip to main content
SpringerLink
Log in

Analysis on the nonlinear response of cracked rotor in hover flight

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

An Erratum to this article was published on 05 August 2010

Abstract

The motion equations for a Jeffcott rotor in hover flight are derived. A periodically sampled peak-to-peak value diagram is used for characterizing and distinguishing different types of nonlinear responses in hovering state. The nonlinear responses become more apparent when the rotor is running above the critical speed in flat flight. There are three ways for rotor responses going to chaos, namely through quasi-periodic, intermittence, or period-3 bifurcation to chaos. The hover flight might suppress some nonlinear responses. However, the position of axis center might obviously deflect, leading to either nonlinear response or peak-to-peak value jump near the fraction frequency of swing critical speed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ananthan, S., Leishman, J.G.: Helicopter rotor wake dynamics during simulated tactical maneuvers. Ann. Forum Proc. Am. Helicopter Soc. 1, 949–980 (2004)

    Google Scholar 

  2. Gennaro, D.S.: Active vibration suppression in flexible spacecraft attitude tracking. AIAA J. Guid. Control Dyn. 21, 400–408 (1998)

    Article  Google Scholar 

  3. Dimarogonas, A.: Vibration of cracked structures: a state of the art review. Eng. Fract. Mech. 55, 831–857 (1996)

    Article  Google Scholar 

  4. Gasch, R., Person, M., Weitz, B.: Dynamic behavior of the Laval rotor with a cracked hollow shaft—a comparison of crack models. In: International Mechanical Conference, Vibration in Rotating Machinery, Edinburgh, Paper No. C314/88 (1988)

  5. Gray, G.L., Kammer, D.C., Dobson, I.: Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. Adv. Astronaut. Sci. 79, 593–612 (1992)

    Google Scholar 

  6. Guglieri, G., Celi, R.: Some aspects of helicopter flight dynamics in steady turns. AIAA J. Guid. Control Dyn. 21, 383–390 (1998)

    Article  Google Scholar 

  7. Ishida, Y., Inoue, T.: Detection of a rotor crack using a harmonic excitation and nonlinear vibration analysis. ASME J. Vib. Acoust. 128, 741–749 (2006)

    Article  Google Scholar 

  8. Krothapalli, K.R., Prasad, J.V.R., Peters, D.A.: Helicopter rotor dynamic inflow modeling for maneuvering flight. J. Am. Helicopter Soc. 46, 129–139 (2001)

    Article  Google Scholar 

  9. Kufeld, R.M., Bousman, W.G.: High load conditions measured on a UH-60A in maneuvering flight. J. Am. Helicopter Soc. 43, 202–211 (1998)

    Article  Google Scholar 

  10. Or, A.C.: Resonances in the despin dynamics of dual-spin spacecraft. J. Guid. Control Dyn. 14, 321–329 (1991)

    Article  Google Scholar 

  11. Patel, T.H., Darpe, A.K.: Influence of crack breathing model on nonlinear dynamics of a cracked rotor. J. Sound Vib. 311, 953–972 (2008)

    Article  Google Scholar 

  12. Pennacchi, P., Bachschmid, N., Vania, A.: A model-based identification method of transverse cracks in rotating shafts suitable for industrial machines. Mech. Syst. Signal Process. 20, 2112–2147 (2006)

    Article  Google Scholar 

  13. Qin, W.Y., Meng, G., Zhang, T.: The swing vibration, transverse oscillation of cracked rotor and intermittence chaos. J. Sound Vib. 259, 571–583 (2003)

    Article  Google Scholar 

  14. Schoess, J.N., Menon, S.: CH-46 rotor acoustics analysis: Continued analysis of inflight maneuvers. Proc. SPIE Int. Soc. Opt. Eng. 4328, 242–248 (2001)

    Google Scholar 

  15. Sherf, Z., Edelstein, A., Hopstone, P.: Several problems and solutions in the analysis and simulation of vibration measurements during buffet maneuvers. In: Institute of Environmental Sciences—Proceedings, Annual Technical Meeting, Phoenix, Arizona, pp. 1–12 (1998)

  16. Sinou, J.: Effects of a crack on the stability of a non-linear rotor system. Int. J. Non-Linear Mech. 42, 959–972 (2007)

    Article  Google Scholar 

  17. Wauer, J.: Dynamics of cracked rotors: literature survey. Appl. Mech. Rev. 43, 13–17 (1990)

    Google Scholar 

  18. White, J.L., Heidari, M.A., Yantis, T.F.: Study of engine excited non-linear vibro-acoustics in commercial airplanes. Proc. Int. Modal Anal. Conf. IMAC 2, 1503–1508 (1997)

    Google Scholar 

  19. Xu, M., Liao, M.F., Liu, Q.Z.: The vibration performance of the double-disk cantilever rotor in flight mission. J. Aerosp. Power 17, 105–109 (2002)

    Google Scholar 

  20. Yang, Y.F., Ren, X.M., Qin, W.Y.: Two novel methods for vibration diagnosis to characterize non-linear response. Nonlinear Anal. Ser. A: Theory Methods Appl. 68, 582–590 (2008)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Northwestern Polytechnical University, P.O. Box 264#, Xi’an, 710072, People’s Republic of China

    Yongfeng Yang, Xingmin Ren, Weiyang Qin, Yafeng Wu & Xizhe Zhi

Authors
  1. Yongfeng Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xingmin Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weiyang Qin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yafeng Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Xizhe Zhi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yongfeng Yang.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s11071-010-9786-3

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, Y., Ren, X., Qin, W. et al. Analysis on the nonlinear response of cracked rotor in hover flight. Nonlinear Dyn 61, 183–192 (2010). https://doi.org/10.1007/s11071-009-9640-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-009-9640-7

Search

Navigation