Stability Analysis of Nonlinear Stiffness Rotor-Bearing System with Pedestal Looseness Fault

Article Preview

Abstract:

The dynamic model of nonlinear stiffness rotor-bearing system with pedestal looseness fault was set up, taking the linearity and cube item as the physics nonlinear factors. The periodic solution of system was analyzed by continuation-shooting algorithm for periodic solution of nonlinear non-autonomous system, and the stability of system periodic motion and unsteady law are discussed by Floquet theory. The unstable form of it is Hopf bifurcation. In the region of critical rotate speed, the main motion of the system is periodic-4; and it of ultra critical rotate speed, the main motion of the system is periodic-3 and chaotic motion. The conclusions provide theoretic basis reference for the fault diagnosis of the rotor-bearing system.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

285-288

Citation:

Online since:

December 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] A. Muszynska, P. Goldman: Chaotic responses of unbalanced rotor bearing stator systems with looseness or rubs, Chaos, Solitions & Fractals, Vol. 5(1995), pp.1683-1704.

DOI: 10.1016/0960-0779(94)00171-l

Google Scholar

[2] F. Chu, Z. Zhang: Stability and non-linear responses of a rotor bearing system with pedestal looseness, Journal of Sound and Vibration, Vol. 241(2001), pp.879-893.

DOI: 10.1006/jsvi.2000.3341

Google Scholar

[3] Y. G. Luo, Y. H. Du, X. D. Liu, et al: Study on dynamics and fault characteristics of two-span rotor-bearing system with pedestal looseness, Journal of Mechanical Strength, Vol. 28(2006), pp.327-331.

Google Scholar

[4] H. L. Yao, C. L. Liu, X. W. Zhang, et al: Dynamics of pedestal looseness rotor system near the critical speed region, Journal of Northeastern University, Vol. 24(2003), pp.798-801.

Google Scholar

[5] S. Shaw: Chaotic dynamics of a slender beam rotating about its longitudinal axis, Journal of Sound and Vibration, Vol. 124(1998), pp.329-339.

DOI: 10.1016/s0022-460x(88)80191-3

Google Scholar

[6] L. Cveticanin: Resonant vibration of nonlinear rotors, Mechanisms and Machine Theory, Vol. 31(1995), pp.581-588.

DOI: 10.1016/0094-114x(94)00059-t

Google Scholar

[7] Y. Ishida, T. Ikeda, T. Yamamoto: Nonstationary vibration of a rotating shaft with nonlinear spring characteristics during acceleration through a critical speed, JSME International Journal, Series III, Vol. 32(1989), pp.575-584.

DOI: 10.1299/jsmec1988.32.575

Google Scholar