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TECHNICAL PAPERS

Experimental Investigation into the Instability of an Over-Hung Rigid Centrifuge Rotor Partially Filled With Fluid

[+] Author and Article Information
Zhu Changsheng

Department of Electrical Engineering, Zhejiang University, 310027, Hangzhou, Zhejiang, The People’s Republic of Chinae-mail: cszhu@hotmail.com

J. Vib. Acoust 124(4), 483-491 (Sep 20, 2002) (9 pages) doi:10.1115/1.1505027 History: Received June 01, 2001; Revised January 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
Topics: Fluids , Rotors , Whirls , Motion , Vibration
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References

Kollmann,  F. G., 1962, “Experimentelle und theoretische Untersuchungen uber die Kritischen Drehzahlen flussigkeitsgefulter Hohlkorper,” Forschund auf dem Gebiete des Ingenieurweasns, Ausgabe, B, 2, pp. 115–123, and pp. 147–153.
Wolf,  J. A., 1968, “Whirl Dynamics of a Rotor Partially Filled with Liquid,” ASME J. Appl. Mech., 35, pp. 676–682.
Lichtenberg,  G., 1982, “Vibrations of an Elastically Mounted Spinning Rotor Partially Filled with Liquid,” ASME J. Mech. Des., 104, pp. 389–396.
Hendricks,  S. L., 1986, “Stability of a Clamped Free-Rotor Partially Filled with Liquid,” ASME J. Appl. Mech., 53, pp. 166–172.
Hendricks,  S. L., and Morton,  J. B., 1979, “Stability of a Rotor Partially Filled with a Viscous Incompressible Fluid,” ASME J. Appl. Mech., 46, pp. 913–918.
Saito,  S., and Someya,  T., 1980, “Self-Excited Vibration of a Rotational Hollow Shaft Partially Filled with Liquid,” ASME J. Mech. Des., 102, pp. 185–192.
Holm-Christensen,  O., and Träger,  K., 1991, “A Note of Instability Caused by Liquid Motions,” ASME J. Appl. Mech., 58, pp. 804–811.
Cheng,  C. A., Berman,  A. S., and Lundgren,  T. S., 1985, “Asynchronous Instability of a Rotational Centrifuge Partially Filled with Fluid,” ASME J. Appl. Mech., 52, pp. 777–782.
Kaneko,  S., and Hayama,  S., 1985, “Self-Excited Oscillation of a Hollow Rotational Shaft Partially Filled with a Liquid,” Bull. JSME, 28, pp. 2994–3001.
Ota,  H., Ishida,  Y., Sato,  A., and Yamada,  T., 1986, “Experiments on Vibrations of a Hollow Rotor Partially Filled with Fluid,” Bull. JSME, 29, pp. 3520–3529.
Ehrich, F. F., 1999, Handbook of Rotordynamics, Hrieger Publishing Company, Inc.
Goldman,  P., and Muszynska,  A., 1994, “Chaotic Behavior of Rotor/Stator Systems with Rubs,” ASME J. Eng. Gas Turbines Power, 116, pp. 692–701.
Ehrich,  F. F., 1988, “High Order Sub-harmonic Response of High Speed Rotors in Bearing Clearance,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 9–16.
Berman,  A. S., Lundgren,  T. S., and Cheng,  A., 1985, “Asynchronous Whirl in a Rotational Cylinder Partially Filled with Liquid,” J. Fluid Mech., 150, pp. 311–327.
Bolotin, V. V., 1963, Nonconservative Problems of the Theory of Elastic Stability, Macmillan Company, NY.

Figures

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Cross-section and photograph of the rotor test rig
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Unbalance response curves of empty rotor in increasing and decreasing rotational speed operations
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Rotor motion orbit and power spectra of vibration signal while the safety bearing was working
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Unbalance response and the power spectra of vibration signal during instability developing with small fluid-fill ratio H=0.06—where 0 stands for synchronous motion in sub-critical speed region; 1 for synchronous motion near the resonant region; 2 for synchronous motion in super-critical speed region; 3 for steady synchronous motion when a sub-synchronous frequency just occurs; 4 for steady sub-synchronous motion before the rotor vibration sharply increases; 5 for nonsynchronous motion in the unstable region before the fluid free-surface break-down occurs.
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Unbalance response and the power spectra of vibration signal during instability developing with larger fluid-fill ratio H=0.41—where 0 stands for synchronous motion in sub-critical speed region; 1 for synchronous motion near the resonant region; 2 for synchronous motion in super-critical speed region; 3 for steady synchronous motion when the first sub-synchronous frequency just occurs; 4 for steady sub-synchronous motion with two sub-synchronous frequencies; 5 for nonsynchronous motion in the unstable region before the fluid free-surface break-down occurs.
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Motion orbits, power spectra and time histories of the rotor system with small fluid-fill ratio H=0.06 before (a, b and c) and after (d, e and f ) the safety bearing was working
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Whirl frequency ratio versus fluid-fill ratio H
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Instantaneous fluid free surface profile during fluid break-down
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Typical rotor orbit, power spectra and time history of vibration signal in unstable region at a speed of 515 RPM with small fluid-fill ratio H=0.06
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Rotor unstable region versus fluid-fill ratio H • determined by sudden increase in vibration amplitude; ○ determined by first occurrence of the destabilizing sub-synchronous frequency.
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Variation of rotor vibration versus fluid-fill ratio H

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