Stability of the Jeffcott Rotor with Local Rubbing

Article Preview

Abstract:

The stability and bifurcation behavior of Jeffcott rotor with local rubbing are investigated in terms of Hartman-Grobman theorem in this paper. The case with double zero real part of eigenvalues is analyzed by means of the theory of center manifold and n-dimension Hopf bifurcation. Along with discussion for the effects of parameters on system stability and bifurcation behavior, numerical simulation of rotor locus is conducted and the stability condition is derived.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

933-936

Citation:

Online since:

May 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Beatty, R F. 1985. Differentiating rotor response due to radial rubbing. Trans. ASME Journal of Vibration, Acoustics, Stress and Reliability in Design. 107(2): 151-160.

DOI: 10.1115/1.3269238

Google Scholar

[2] Choy, F.K. & J. Padovan 1987. Non-linear transient analysis of rotor-casing rub events. J. Sound &Vibration. 113(3): 529-545.

DOI: 10.1016/s0022-460x(87)80135-9

Google Scholar

[3] Chu, F.L. 1996. Chaotic behavior of rub rotor model. J. Tsinghua University (Scien-Tech. ). 36(7): 52-57.

Google Scholar

[4] Issakson, J.L. 1994. Dynamics of a rotor with annular rub, Proceedings of IFToMM. 4th International Conference on Rotor Dynamics: 85-90. Chicago, USA.

Google Scholar

[5] Wiggins, S 1981. Introduction to applied nonlinear dynamic systems and chaos, New York: Springer Verlag.

Google Scholar

[6] Yao G.J., L.T. Yan & Q.H. Li 1996. Analysis on vibration properties of rotor rubbing. J. Aviation. 11(10): 499-502.

Google Scholar

[7] Zhang, Y. & Y.S. Chen. 1997. The Mechanism analysis of impact-rubbing in a power plant. J. Nonlinear Dynamics in Science and Technology. 10(1): 62-68.

Google Scholar

[8] Zang C.P., S. Zhang & W. Gao 1994. The diagnostic methods for the local rubbing fault of the rotor. Proceedings of the CSEE. 14(4): 50-56.

Google Scholar