Twice-Running-Speed Response Due to Elliptical Bearing Clearances

[+] Author and Article Information
Dara W. Childs

Turbomachinery Laboratory, Texas A&M University, College Station, TX 77843e-mail: dchilds@mengr.tamu.edu

J. Vib. Acoust 125(1), 64-67 (Jan 06, 2003) (4 pages) doi:10.1115/1.1526509 History: Received December 01, 2001; Revised September 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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Yamamoto, T., 1954, “On the Critical Speeds of a Shaft,” Memoirs of the Faculty of Engineering, Nagoya University, Vol. 6. No. 2.
Childs, D. W., 1993, Turbomachinery Rotordynamics, Phenomena, Modeling, and Analysis, John Wiley.
Black,  H., 1968, “Interaction of Whirling Rotor with a Vibrating Stator Across a Clearance Circle,” Journal of Mechanical Engineering Design, 10, pp. 1–12.
Bently, D., 1974, “Forced Subrotative Speed Dynamic Action of Rotating Machinery,” ASME Paper No. 74-PET-16, Petroleum Mechanical Engineering Conference, Dallas, Texas.
Childs,  D., 1979, “Rub-Induced Parametric Excitation in Rotors,” ASME J. Mech. Des., pp. 640–644.
Childs,  D., 1982, “Fractional-Frequency Rotor Motion due to Non-Symmetric Clearance Effects,” ASME J. Eng. Power, pp. 533–541.
Choi,  Y.-S., and Noah,  S., 1987, “Nonlinear Steady-State Response of a Rotor-Support System,” ASME J. Vib., Acoust., Stress, Reliab. Des., 109, pp. 225–261.
Ehrich,  F., 1988, “High Order Subharmonic Response of High Speed Rotors in Bearing Clearances,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 9–16.


Grahic Jump Location
Proposed variations in the clearance dead-band radius due to ellipticity.
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First-order solution amplitude r1 for 2E response versus nondimensional running speed with ζ=0.025.
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Synchronous, steady-state amplitude solutions for ro with ζ=0.025, Childs 2.
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Yamamoto’s vertical rotor model with radial bearing clearances, Childs 2. A. Side view. B. Top view.



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