An assumed modes method is developed to investigate the effect of multiple flexible disks on the vibrational modes of a flexible rotor system. The analysis rotor model consists of multiple disks on a flexible shaft, as used for steam turbines or computer storage devices. In modeling the system, centrifugal stiffening and disk flexibility effects are taken into account. To demonstrate the effectiveness of the method, a hard disk drive spindle system commonly used in personal computers and a simple flexible rotor system with two disks are selected as examples. In particular, the dynamic coupling between the vibrational modes of the shaft and the duplicate disks is investigated with the shaft rotational speed varied.
Issue Section:
Research Papers
Topics:
Disks,
Rotors,
Vibration analysis,
Computers,
Vibrational modes,
Modeling,
Steam turbines,
Storage
1.
Chun
S. B.
Lee
C. W.
1996
, “Vibration Analysis of Shaft-Bladed Disk System Using Substructure Synthesis and Assumed Modes Method
,” J. of Sound and Vibration
, Vol. 189
, No. 5
, pp. 587
–608
.2.
Ginesu
F.
Picasso
B.
Priolo
P.
1979
, “Vibration Analysis of Polar Orthotropic Annular Discs
,” J. of Sound and Vibration
, Vol. 65
, No. 1
, pp. 97
–105
.3.
Kirkhope
J.
Wilson
G. J.
1972
, “Vibration of Circular and Annular Plates Using Finite Elements
,” International J. for Numerical Methods in Engineering
, Vol. 4
, pp. 181
–193
.4.
Kirkhope
J.
Wilson
G. J.
1976
, “Vibration and Stress Analysis of Thin Rotating Discs Using Annular Finite Elements
,” J. of Sound and Vibration
, Vol. 44
, No. 4
, pp. 461
–474
.5.
Lamb, H., F. R. S., and Southwell, R. V., 1921, “The Vibrations of a Spinning Disk,” Proceedings of Royal Society of London, 99, pp. 272–280.
6.
Lee, C. W., 1993, Vibration Analysis of Rotors, Kluwer Academic Publishers.
7.
Lee, C. W., Park, S. W., and Rim, K. H., 1989, “Free Vibration of a Spinning Annular Disk Subjected to Radial Tension,” ASIA Vibration Conference, Shenzen, China, pp. 439–444.
8.
Meirovitch, L., 1967, Analytical Methods in Vibrations, The Macmillan Company Collier-Macmillan Limited, London.
9.
Mote
C. D.
1965
, “Free Vibration of Initially Stressed Circular Disks
,” ASME Journal of Engineering for Industry
, Vol. 87
, pp. 258
–264
.10.
Sakata
M.
Kimura
K.
Park
S. K.
Ohnabe
H.
1989
, “Vibration of Bladed Flexible Rotor due to Gyroscopic Moment
,” J. of Sound and Vibration
, Vol. 131
, No. 3
, pp. 417
–430
.11.
Shahab
A. A. S.
Thomas
J.
1987
, “Coupling Effects of Disc Flexibility on the Dynamic Behavior of Multi Disc-Shaft Systems
,” J. of Sound and Vibration
, Vol. 114
, No. 3
, pp. 435
–452
.12.
Southwell, R. v., 1921, “On the Free Transverse Vibrations of a Uniform Circular Disc Clamped at its Center; and on the Effects of Rotation,” Proceedings of Royal Society of London, 101, pp. 133–153.
13.
Ugural, A. C., and Fenster, S. K., 1981, Advanced Strength and Applied Elasticity, Elsevier, New York.
14.
Vogel, S. M., and Skinner, D. W., 1965, “Natural Frequencies of Transversely Vibrating Uniform Annular Plates,” ASME Journal of Applied Mechanics, pp. 926–931.
15.
Wah
T.
1962
, “Vibration of Circular Plates
,” J. of the Acoustical Society of America
, Vol. 34
, No. 3
, pp. 275
–281
.16.
Wu
F.
Flowers
G. T.
1992
, “A Transfer Matrix Technique for Evaluating the Natural Frequencies and Critical Speeds of a Rotor with Multiple Flexible Disks
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 114
, pp. 242
–248
.17.
Wu
F.
Flowers
G. T.
1993
, “An Experimental Study of the Influence of Disk Flexibility and Rubbing on Rotordynamics
,” ASME Vibration of Rotating Systems
, DE-Vol. 60
, pp. 19
–26
.
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