Research on Periodic Motion Stability of Rotor-Bearing System with Dual-Unbalances

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Abstract:

Multiple freedom degrees model of rotor-bearing system taking many factors into account is established, the Newmark-β and shooting method are combined during the stability analysis of periodic motion in such system. The paper focused on the influence law of two eccentric phase difference on the instability speed of rotor-bearing system. The results have shown that the instability speed rises constantly with the eccentric phase difference angle increasing in small eccentricity system. When the two unbalance be in opposite direction, the system reached its maximum instability speed. However, the unstable bifurcation generates mutation phenomenon for large eccentricity system with the eccentric phase difference angle increasing. In summary, the larger initial phase angle can inhibit system instability partly. The conclusions have provided a theoretical reference for vibration control and stability design of the more complex rotor-bearing system.

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[1] R. Brancati, E. Rocca, M. Russo, et al, Journal orbits and their stability for rigid unbalance rotor, ASME Journal of Tribology. 117 (1995) 709-716.

DOI: 10.1115/1.2831541

Google Scholar

[2] J. Kicinski, R. Drozdowski, P. Materny, The nonlinear analysis of the effect of support construction properties on the dynamic properties of multi-support rotor systems, Journal of Sound And Vibration. 206(1997) 523-539.

DOI: 10.1006/jsvi.1997.1113

Google Scholar

[3] N.S. Feng, E.J. Hahn, Vibration analysis of statically indeterminate rotors with hydrodynamic bearing, Trans. ASME Journal of Tribology. 120 (1998) 781-788.

DOI: 10.1115/1.2833779

Google Scholar

[4] Y.H. Jiao, M. L. Li, Z.B. Chen, Dynamic analysis of rotor-cylindrical bearing system with different oil film force models, Journal of Harbin Institute of Technology. 39(2007) 46-50.

Google Scholar

[5] T.S. Zheng, T. Hasebe, Nonlinear dynamic behaviors of a complex rotor-bearing system, Journal of Applied Mechanics. 67(2000) 485-495.

DOI: 10.1115/1.1286208

Google Scholar

[6] J.P. Jing, G. Meng, Y. Sun, et al. On the nonlinear dynamic behavior of a rotor-bearing system, Journal of Sound and Vibration. 274(2004) 1031-10440.

Google Scholar

[7] J.P. Jing, G. Meng, Y. Sun, et al. On the oil-whipping of a rotor-bearing system by a continuum model, Applied Mathematical Modelling. 29 (2005) 461-475.

DOI: 10.1016/j.apm.2004.09.003

Google Scholar

[8] L.G. Wang, D.Q. Cao, J.L. Wang, et al. Stability and bifurcation of elliptic bearing rotor systems, Journal of Aerospace Power. 23 (2008) 263-269.

Google Scholar