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Stability Analysis of Sliding Whirl in a Nonlinear Jeffcott Rotor with Cross-Coupling Stiffness Coefficients

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Abstract

An analytical study is carried out on the stability of the fullannular rub solutions of an externally excited, modified Jeffcott rotorwith a given rotor/stator clearance and cross-coupling influences. Theobtained analytical stability conditions provide an opportunity for abetter understanding of the dynamical phenomena of rotor/stator systemswith rubs, such as jump phenomena and the transition between periodicand quasi-periodic full rub responses as well as between the fullannular rubs and the partial rubs. A systematic study on the influenceof the system parameters on these phenomena is carried out. It is foundthat the simultaneous presence of the coefficient of friction and thecross-coupling stiffness coefficient with a proper value may benefit thedynamics of the rotor/stator system with rubs.

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References

  1. Begg, I. G, ‘Friction induced rotor whirl – A study in stability’, ASME Journal of Engineering for Industry, May 1974, 450–453.

  2. Bently, D. E., ‘Forced subrotative speed dynamic action of rotating machinery’, ASME Paper 74-PET-16, 1974.

  3. Black, H. F., ‘Interaction of a whirling rotor with a vibrating stator across a clearance annulus’, International Journal of Mechanical Engineering Science 10, 1968, 1–12.

    Google Scholar 

  4. Childs, D. W., ‘Rub-induced parametric excitation in rotors’, Journal of Mechanical Design 101, 1979, 640–644.

    Google Scholar 

  5. Childs, D. W., ‘Fractional-frequency rotor motion due to non-symmetric clearance effects’, Journal of Engineering for Power 104, 1982, 533–541.

    Google Scholar 

  6. Choi, S. K. and Noah, S. T., ‘Mode-locking and chaos in a Jeffcott rotor with bearing clearances’, ASME Journal of Applied Mechanics 61, 1994, 131–138.

    Google Scholar 

  7. Chu., F. and Zhang, Z., ‘Bifurcation and chaos in a rub-impact Jeffcott rotor system’, Journal of Sound and Vibration 210(1), 1998, 1–18.

    Google Scholar 

  8. Crandall, S. ‘From whirl to whip in rotordynamics’, in Transactions IFToMM 3rd International Conference on Rotordynamics, Lyon, France, M. Lalanne and R. Henry (eds.), Éd. du Centre NatiScient, 1990, pp. 19–26.

  9. Day, W. B., ‘Asymptotic expansions in nonlinear rotordynamics’, Quarterly of Applied Mathematics 44(4), 1987, 779–792.

    Google Scholar 

  10. Ehrich, F. F., ‘High order subharmonic response of high speed rotors in bearing clearance’, ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design 110, 1988, 9–16.

    Google Scholar 

  11. Goldman, P. and Muszynska, A. ‘Chaotic behavior of rotor/stator system with rubs’, Journal of Engineering for Gas Turbins and Power 116, 1994, 693–701.

    Google Scholar 

  12. Isaksson, J. L., ‘Dynamics of a rotor with annular rub’, in Proceedings IFToMM4th International Conference on Rotordynamics, September 7–9, R. L. Eshleman (ed.), Vibration Institute, 1994, pp. 85–90.

  13. Kim, Y. B. and Noah, S. T., ‘Bifurcation analysis for a modified Jeffcott rotor with bearing clearances’, Nonlinear Dynamics 1, 1990, 221–241.

    Google Scholar 

  14. Kim, Y. B. and Noah, S. T., ‘Quasi-periodic response and stability analysis for a nonlinear Jeffcott rotor’, Journal of Sound and Vibration 190(2), 1996, 239–253.

    Google Scholar 

  15. Muszynska, A., ‘Synchronous self-excited rotor vibration caused by a full annular rub’, in Machinery Dynamics 8th Seminar, Halifax, Nova Scotia, Canada, Canadian Machinery Association, 1984, pp. 22.1–22.21.

    Google Scholar 

  16. Padovan, J. and Choy, F. K., ‘Nonlinear dynamics of rotor/blade/casing interactions’, ASME Journal of Turbomachinery 109, 1987, 527–534.

    Google Scholar 

  17. Vance, J. M., Rotordynamics of Turbomachinery, Wiley, New York, 1988.

    Google Scholar 

  18. Yamamoto, T. T., ‘On critical speeds of a shaft’, Memoirs of the Faculty of Engineering, Nagoya University 6(2), 1954, 1–20.

    Google Scholar 

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Jiang, J., Ulbrich, H. Stability Analysis of Sliding Whirl in a Nonlinear Jeffcott Rotor with Cross-Coupling Stiffness Coefficients. Nonlinear Dynamics 24, 269–283 (2001). https://doi.org/10.1023/A:1008376412944

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  • DOI: https://doi.org/10.1023/A:1008376412944

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