Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 1999; revised Feb. 2001. Associate Editor: A. F. Vakakis.

This note is abstracted from Childs 1 more complete discussion of the influence of a radial clearance on spiral vibrations and is limited to a discussion of the kinematics assumptions involved in developing Kellenberger’s 2 model for spiral vibrations. Black’s 3 model and notation are used to define the rotor and stator interaction force.

Black’s 3 model is illustrated in Fig. 1. The rotor is a Jeffcott (Laval) rotor with mass mr, stiffness kr, and damping cr. The stator is a particle of mass ms, connected to ground through a spring ks and linear dashpot cs. A radial clearance Cr exists...
1.
Childs, D. W., 1997, “Clearance Effects on Spiral Vibrations due to Rubbing,” Paper DETC97/VIB-4058, 1997 Design Engineering Technical Conference, Sacramento, CA.
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Black
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