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RESEARCH PAPERS

Bifurcation Analysis of a Flexible Rotor Supported by Two Fluid-Film Journal Bearings

[+] Author and Article Information
J. K. Wang

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

M. M. Khonsari1

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

1

Corresponding author.

J. Tribol 128(3), 594-603 (Mar 16, 2006) (10 pages) doi:10.1115/1.2197842 History: Received October 12, 2005; Revised March 16, 2006

The effects of rotor stiffness on the bifurcation regions of a flexible rotor supported by two identical fluid-film journal bearings are presented. It is shown that the rotor stiffness has a pronounced influence on the bifurcation characteristics at the instability threshold speed. For short bearings, two bifurcation regions exist if the dimensionless rotor stiffness K¯4.3. On the other hand, three bifurcation regions exist if the dimensionless rotor stiffness K¯<4.3. Information is presented that allows one to easily predict both the instability threshold speed and its bifurcation type of a rotor-bearing system with any specific set of operating parameters. The results presented have been verified by laboratory experiments as well as several published results in the open literature. Several examples are presented to illustrate the application of the results for design purposes.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Rotor-bearing system with exaggerated deflections and system coordinates used

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Figure 2

Bifurcation map for flexible rotor-bearing systems

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Figure 3

Instability threshold speed and its bifurcation type changing with increasing modified Sommerfeld number Sm for a rotor-bearing system with given dimensionless rotor stiffness K¯

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Figure 4

Instability threshold speed and its bifurcation type changing with increasing steady-state eccentricity ratio ε for a rotor-bearing system with given dimensionless rotor stiffness K¯

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Figure 5

Comparison of the results with those reported in Refs. 13-14

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Figure 6

Schematic of the test rig

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Figure 7

Experimental results with K¯=2.9

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Figure 8

Application of Fig. 3 on the rotor-bearing system (12)

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Figure 9

Two experimental operating points described by Table 4 in the bifurcation map for flexible rotor-bearing systems presented in Fig. 2

Tables

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