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TECHNICAL BRIEFS

A Note on Kellenberger’s Model for Spiral Vibrations

[+] Author and Article Information
Dara W. Childs

Turbomachinery Laboratory, Texas A&M University, College Station, TX 77845

J. Vib. Acoust 123(3), 405-408 (Feb 01, 2001) (4 pages) doi:10.1115/1.1377022 History: Received March 01, 1999; Revised February 01, 2001
Copyright © 2001 by ASME
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References

Childs, D. W., 1997, “Clearance Effects on Spiral Vibrations due to Rubbing,” Paper DETC97/VIB-4058, 1997 Design Engineering Technical Conference, Sacramento, CA.
Kellenberger,  W., 1980, “Spiral Vibrations Due to Seal Rings in Turbogenerators. Thermally Induced Interaction Between Rotor and Stator,” ASME J. Mech. Des., 102, p. 177.
Black,  H., 1968, “Interaction of a Whirling Rotor with a Vibrating Stator Across a Clearance Annulus,” J. Mech. Eng. Sci., 10(1), pp. 1–12.
Goldman,  P., and Muszynska,  A., 1995, “Rotor-to-Stator, Rub-related, Thermal/Mechanical Effects in Rotating Machinery,” Chaos, Solitons Fractals, 5, No. 9, pp. 1579–1601.

Figures

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Black’s example rotor
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Rotor-stator interaction motion
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Body-fixed x,y axes with the imbalance vector a, initial shaft-bow vector Br0, time-transient thermal bow ρT, and resultant shaft bow ρ=BR0T
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Components of ρ̇̂T in the x,y system
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Numerical solution: (a) ρTY versus ρTY, (b) γ̇T versus τ, and (c) ξ+γT versus τ

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