On the Hysteresis Phenomenon Associated With Instability of Rotor-Bearing Systems

[+] Author and Article Information
J. K. Wang, M. M. Khonsari

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803

J. Tribol 128(1), 188-196 (Aug 31, 2005) (9 pages) doi:10.1115/1.2125927 History: Received December 15, 2004; Revised August 31, 2005

A method is presented for predicting the occurrence of a hysteresis phenomenon, which is observed in experimental results dealing with the instability of rotor-bearing systems. The method is based on the Hopf bifurcation theory. It is shown that the existence of a hysteresis phenomenon is dependent upon the system’s operating parameters. To this end, the effect of oil viscosity on the hysteresis phenomenon and its implications on the rotor-bearing instability are investigated. The results of a series of experiments illustrating the effectiveness of the prediction of the hysteresis phenomenon using the Hopf bifurcation theory are also presented.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Illustration of the hysteresis phenomenon

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Figure 2

Schematic figure of the test rig (16)

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Figure 3

Hysteresis phenomenon at high inlet oil viscosity

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Figure 4

The waterfall plot for Fig. 3

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Figure 5

No hysteresis phenomenon at low inlet oil viscosity

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Figure 6

The waterfall plot for Fig. 5

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Figure 7

Periodic solutions of the equations of motion when the oil viscosity is 0.01Pa∙s

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Figure 8

Bifurcation diagram for different viscosities



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