Skip to main content
Log in

Nonlinear parameter identification of partial rotor rub based on experiment

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

To model and understand the physics of partial rub, a nonlinear rotor model is sought by applying a nonlinear parameter identification technique to the experimental data. The results show that the nonlinear terms of damping and stiffness should be included to model partial rotor rub. Especially, the impact and friction during the contact between rotor and stator are tried to explain with a nonlinear model on the basis of experimental data. The estimated nonlinear model shows good agreements between the numerical and the experimental results in its orbit. Also, the estimated nonlinear model could explain the backward whirling orbit and jump phenomenon, which are the typical phenomena of partial rub.

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.

Similar content being viewed by others

Abbreviations

cx, Cy:

Rotor damping coefficients in two stationary orthogonal directionsx, y

e :

Eccentricity of rotor

f N :

Radial impact force

f T :

Tangential rub force

G :

Center of mass of rotor

kx, ky:

Rotor stiffness coefficients in two stationary orthogonal directionsx, y

m :

Mass of rotor

x(t), y (t) :

Rotor lateral displacements in two stationary orthogonal directions

δ :

Radial clearance between rotor and stator

ε :

Friction coefficient between rotor and stator

ω :

Shaft rotational velocity

References

  • Billings, S. A., 1999, “A Direct Approach to Identification of Nonlinear Differential Models From Discrete Data,”Mechanical System and Signal Processing, Vol. 13, pp. 739–755.

    Article  Google Scholar 

  • Black, H. F., 1968, “Interaction of a Whirling Rotor with a Vibrating Stator Across a Clearance Annulus,”J. Mechanical Engineering Science, Vol. 10, pp. 1–12.

    Article  Google Scholar 

  • Chen, S., Billings, S.A. and Luo, W., 1989, “Extended Model Set, Global Data and Threshold Model Identification of Severely Non-linear System,”International Journal of Control, Vol. 50, pp. 1897–1923.

    Article  Google Scholar 

  • Choi, Y. S., 2000, “Experimental Investigation of Partial Rotor Rub,”KSME International Journal, Vol. 14, No. 11, pp. 1250–1256.

    Google Scholar 

  • Choi, Y. S., 2002, “Investigation on the Whirling Motion of Full Annular Rotor Rub,”Journal of Sound and Vibration, Vol. 258, No. 1, pp. 191–198.

    Article  Google Scholar 

  • Choy, F. K., Padovan, J. and Batur, C., 1989, “Rub Interactions of Flexible Casing Rotor Systems,”Journal of Engineering for Gas Turbines and Power, Vol. 111, pp. 652–658.

    Article  Google Scholar 

  • Chu, F. and Zhang, Z., 1997, “Periodic, Quasi- Periodic and Chaotic Vibrations of a Rub-Impact Rotor System Supported on Oil Film Bearings,”Int. J. Engr. Sci., Vol.35, No. 10/11, pp. 963–973.

    Article  Google Scholar 

  • Crandall, S. H., Lingener, A. and Zhang, W., 1990, “Backward Whirl Due to Rotor-Stator Contact,”Proceedings of 12th International Conference on Nonlinear Oscillations, Cracow, September 27.

  • Erich, F. F. and O’Connor, J. J., 1966, “Stator Whirl with Rotor in Bearing Clearance,”ASME Paper 66, WA/MD-8.

  • Jang, H. K. and Kim, K. J., 1994, “Identification of Cubic Stiffness Nonlinearity by Linearity-Conserved NARMAX Modeling,”KSME International Journal, Vol. 8, No. 3, pp. 332–342.

    Article  Google Scholar 

  • Lee, C. W., 1994, “Development of the Use of Directional Frequency Response Functions for the Diagnosis of Anisotropy and Asymmetry in Rotating Machinery,”Mechanical Systems and Signal Processing, Vol. 8, No. 6, pp. 665–678.

    Article  Google Scholar 

  • Lin, F., Schoen, M. P. and Korde, U. A., 2001, “Numerical Investigation with Rub-related Vibration in Rotating Machinery,”Journal of Vibration and Control, Vol. 7, pp. 833–848.

    Article  Google Scholar 

  • Muszynska, A. and Goldman, P., 1995, “Chaotic Responses of Unbalanced Rotor/bearing/Stator Systems with Looseness or Rubs,”Chaos Solitons & Fractals, Vol. 5, No. 9, pp. 1683–1704.

    Article  Google Scholar 

  • Muszynska, A., 1984, “Partial Lateral Rotor to Stator Rubs,” ImechE C281/84, pp. 327–335.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yeon-Sun Choi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, YS. Nonlinear parameter identification of partial rotor rub based on experiment. KSME International Journal 18, 1969–1977 (2004). https://doi.org/10.1007/BF02990439

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02990439

Key Words

Navigation