Use of the wave directional frequency response function (dFRF), which is composed of conventional frequency response functions, is proposed for identification of the forward and backward travelling wave modes of isotropic rotating disks. The driving point dFRF, which is a weighted sum of complex wave dFRFs defined in the complex wave coordinates, is also derived for separation of the forward and backward travelling wave modes in the frequency domain. Numerical examples of rotating disks are treated to demonstrate the analytical developments. Experiments with a laboratory rotating disk are also performed to verify the theoretical findings.

1.
Byun
S. W.
, and
Lee
C. W.
,
1988
, “
Pole Assignment in Rotating Disk Vibration Control Using Complex Modal State Feedback
,”
Mechanical System and Signal Processing
, Vol.
2
, No.
3
, pp.
225
241
.
2.
Chonan
S.
, and
Sato
S.
,
1988
, “
Vibration and Stability of Rotating Free-Clamped Slicing Blades
,”
Journal of Sound and Vibration
, Vol.
127
, No.
2
, pp.
254
252
.
3.
D’Angelo
C.
, and
Mote
C. D.
,
1993
, “
Natural Frequencies of a Thin Disk, Clamped by Thick Collars with Friction at the Contacting Surfaces, Spinning at High Rotation Speed
,”
Journal of Sound and Vibration
, Vol.
168
, No.
1
, pp.
1
14
.
4.
Honda
Y.
,
Matsuhisa
H.
, and
Sato
S.
,
1985
, “
Modal Response of a Disk to a Moving Concentrated Harmonic Force
,”
Journal of Sound and Vibration
, Vol.
102
, No.
4
, pp.
457
472
.
5.
Iwan
W. D.
, and
Moeller
T. L.
,
1976
, “
The Stability of a Spinning Elastic Disk with a Transverse Load System
,”
ASME Journal of Applied Mechanics
, Vol.
43
, pp.
485
490
.
6.
Joh
C. Y.
, and
Lee
C. W.
,
1996
, “
Use of dFRFs for Diagnosis of Asymmetric/anisotropic Properties in Rotor-Bearing System
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
118
, No.
4
, pp.
64
69
.
7.
Kim
C. S.
, and
Lee
C. W.
,
1988
, “
Travelling Wave Control of Rotating Discs and Analysis of its Spillover Effect
,”
Proceedings Institution of Mechanical Engineers
, Vol.
202
, No.
c2
, pp.
119
127
.
8.
Lee
C. W.
,
1991
, “
A Complex Modal Testing Theory for Rotating Machinery
,”
Mechanical System and Signal Processing
, Vol.
5
, No.
2
, pp.
119
137
.
9.
Lee, C. W., 1993, Vibration Analysis of Rotors, Kluwer Academic Publishers.
10.
Lee
C. W.
, and
Joh
Y. D.
,
1993
, “
Theory of Excitation Methods and Estimation of Frequency Response Functions in Complex Modal Testing of Rotating Machinery
,”
Mechanical System and Signal Processing
, Vol.
7
, No.
1
, pp.
57
74
.
11.
Lee
C. W.
, and
Joh
C. Y.
,
1994
, “
Theoretical Development in the Use of the dFRFs for Diagnosis of Anisotropy and Asymmetry in Rotating Machinery
,”
Mechanical System and Signal Processing
, Vol.
8
, No.
6
, pp.
665
678
.
12.
Lee
C. W.
, and
Kim
M. E.
,
1995
, “
Separation and Identification of Travelling Wave Modes in Rotating Disk via Directional Spectral Analysis
,”
Journal of Sound and Vibration
, Vol.
187
, No.
5
, pp.
851
864
.
13.
Radcliffe
C. J.
, and
Mote
C. D.
,
1983
, “
Identification and Control of Rotating Disk Vibration
,”
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
105
, pp.
39
45
.
14.
Sinha
S. K.
,
1987
, “
Determination of Natural Frequencies of a Thick Spinning Annular Disk using a Numerical Rayleigh-Ritz’s Trial Function
,”
Journal of Acoustical Society of America
, Vol.
81
, No.
2
, pp.
357
369
.
15.
Staples, B. C., 1990, “Excitation of Travelling Wave Response in Axi-symmetric Structures,” Proc. 15-th International Seminar on Modal Analysis, Leuven, Belgium, pp. 1339–1354.
This content is only available via PDF.
You do not currently have access to this content.