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.
2.
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
177
.
3.
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
.
4.
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
.