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Dynamic response of a rub-impact rotor system under axial thrust

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Abstract

A model of a rigid rotor system under axial thrust with rotor-to-stator is developed based on the classic impact theory and is analyzed by the Lagrangian dynamics. The rubbing condition is modeled using the elastic impact-contact idealization, which consists of normal and tangential forces at the rotor-to-stator contact point. Mass eccentricity and rotating speed are used as control parameters to simulate the response of rotor system. The motions of periodic, quasi-periodic and chaotic are found in the rotor system response. Mass eccentricity plays an important role in creating chaotic phenomena.

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References

  1. Han Y.F.: Treatment and analysis on axial vibration of turbo-generator unit. Turbine Tech. 47(1), 59–60 (2005)

    Google Scholar 

  2. Zhang S.P., Shen D., Wang X.P.: Study on mechanism of axial vibration of water-turbine generator units. Adv. Sci. Tech. Water Resour. 24(1), 40–43 (2004)

    Google Scholar 

  3. Liu D.Y., You G.H., Wang F.: Calculation and analysis of axial thrust acting on turning wheel of flow-mixing reversible hydraulic turbines. J. Hohai Univ.(Nat. Sci.) 32(5), 557–561 (2004)

    Google Scholar 

  4. Dong Y.P.: Caused reason and relief countermeasure of rear bearing axial vibration in electric generator of large steam turbo set. Turbine Tech. 47(3), 206–207 (2005)

    Google Scholar 

  5. Zhuravlev V.F.: Nutational self-oscillation of a free gyroscope. Mech. Solids 27(6), 11–14 (1992)

    Google Scholar 

  6. Dimentberg M.F., Iourtchenko D.V., Naess A.: Coherence function of transverse random vibrations of a rotating shaft. J. Sound Vib. 292, 983–986 (2006)

    Article  Google Scholar 

  7. Shu, S.C.: Structural design of steam turbine stages and calculation of the axial thrust. Power Equip. (2), 45–51 (2003)

  8. Cai G.L.: Analysis of excessive axial vibration of bearing of electricity generator and its countermeasures. Energy Conserv. Tech. 22(4), 61–62 (2004)

    MATH  Google Scholar 

  9. Wang H.J., Lian J.J., Yang M.: Identification of axial dynamic load of a Francis turbine. J. Vib. Shock 26(4), 123–125 (2007)

    Google Scholar 

  10. Li, R.F., Li, X.P., Qian, X.: Calculation of axial water thrust of the inverted installation runner of mixed flow turbine. Water Power (5), 50–52 (2001)

  11. Qiu J.J., Duan W.H.: Axial displacement and axial electromagnetic force of rotor system in hydroturbine generator. J. Mech. Strength 25(3), 285–289 (2003)

    Google Scholar 

  12. Beatty R.F.: Differentiating rotor response due to radial rubbing. J. Vib. Acoust. Stress Reliab. Des. 107(2), 151–160 (1985)

    Google Scholar 

  13. Muszynska, A.: Partial lateral rotor to stator rubs. In: Proceedings of the third international conference on vibrations in rotation machinery. Institute of Mechanical Engineering, York, UK, pp. 327–335 (1984)

  14. Ehrich F.F.: The dynamic stability of rotor/stator radial rubs in rotating machinery. J. Eng. Ind. 91(4), 1025–1028 (1969)

    Google Scholar 

  15. Choy F.K., Padovan J.: Non-linear transient analysis of rotor-casing rub events. J. Sound Vib. 113(3), 529–545 (1987)

    Article  Google Scholar 

  16. Ratner S.B., Styller E.E.: Characteristics of impact friction and wear of polymeric materials. Wear 73(2), 213–234 (1981)

    Article  Google Scholar 

  17. Al-Bedoor B.O.: Transient torsional and lateral vibrations of unbalanced rotors with rotor to stator rubbing. J. Sound Vib. 229(3), 627–645 (2000)

    Article  Google Scholar 

  18. Choi Y.S.: Investigation on the whirling motion of full annular rotor rub. J. Sound Vib. 258(1), 191–198 (2002)

    Article  Google Scholar 

  19. Zhang W.M., Meng G.: Stability, bifurcation and chaos of a high-speed rub-impact rotor system in MEMS. Sens. Actuators A 127, 163–178 (2006)

    Article  Google Scholar 

  20. Zhang Y.M., Wen B.C., Liu Q.L.: Reliability sensitivity for rotor-stator systems with rubbing. J. Sound Vib. 259(5), 1095–1107 (2003)

    Article  Google Scholar 

  21. Feng Z.C., Zhang X.Z.: Rubbing phenomena in rotor–stator contact. Chaos Solitons Fractals 14, 257–267 (2002)

    Article  MATH  Google Scholar 

  22. Chu F., Zhang Z.: Bifurcation and chaos in rub-impact Jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)

    Article  Google Scholar 

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Correspondence to Jianzhong Zhou.

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An, X., Zhou, J., Xiang, X. et al. Dynamic response of a rub-impact rotor system under axial thrust. Arch Appl Mech 79, 1009–1018 (2009). https://doi.org/10.1007/s00419-008-0274-x

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  • DOI: https://doi.org/10.1007/s00419-008-0274-x

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