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TECHNICAL BRIEFS

Torsional Vibration of Non-Uniform Shafts Carrying an Arbitrary Number of Rigid Disks

[+] Author and Article Information
H. Qiao

Dept. of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong

Q. S. Li

Dept. of Building & Construction, City University of Hong Kong, Kowloon, Hong Kong

G. Q. Li

Dept. of Civil Engineering, Wuhan University of Technology, Wuhan 430070, China

J. Vib. Acoust 124(4), 656-659 (Sep 20, 2002) (4 pages) doi:10.1115/1.1503376 History: Received January 01, 2002; Revised June 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
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References

Housner. G. W., and Vreeland, T., 1967, Analytical Methods in Vibrations, Macmillan Publishing Co., New York.
Richard,  J., 1972, “Vibration De Torsion D’arbre De Section Variable,” Reoue Francaise de Me’canique,44, pp. 13–20.
Eisenberger,  M., 1991, “Exact Longitudinal Vibration Frequencies of a Variable Cross-Section Rod,” Appl. Acoust., 34, pp. 123–130.
Li,  Q. S., Li,  G. Q., and Liu,  D. K., 2000, “Exact Solutions for Longitudinal Vibration of Rods Coupled by Translational Springs,” Int. J. Mech. Sci., 42, pp. 1135–1152.
Pouyet,  J. M., and Latailads,  J. L., 1981, “Torsional Vibrations of a Shaft with Non-Uniform Cross Section,” J. Sound Vib., 76(1), pp. 13–22.
Fitzgeorge,  D., and Williams,  F. W., 1976, “Compact Distributed Inertia Solution for Free Torsional Vibrations of Shaft and Rotor System,” J. Sound Vib., 46, pp. 311–322.
Bapat,  C. N., and Bhutani,  N., 1994, “General Approach for Free and Forced Vibrations of Stepped Systems Governed by the One-Dimensional Wave Equation with Non-Classical Boundary Conditions,” J. Sound Vib., 172(1), pp. 1—22.
Li,  Q. S., Cao,  H., and Li,  G. Q., 1996, “Static and Dynamic Analysis of Straight Bars with Variable Cross-Section,” Comput. Struct. 59, pp. 1185–1191.

Figures

Grahic Jump Location
The first three roots of eigenvalue equation
Grahic Jump Location
A non-uniform cantilever shaft carrying five rigid disks

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