Free Vibration of a Spinning Stepped Timoshenko Beam

[+] Author and Article Information
S. D. Yu

Department of Mechanical Engineering, Ryerson Polytechnic University, 350 Victoria Street, Toronto, ON M5B 2K3, Canada  

W. L. Cleghorn

Department of Mechanical and Industrial Engineering, University of Toronto, Five King’s College Road, Toronto, ON M5S 3G8, Canada

J. Appl. Mech 67(4), 839-841 (Apr 10, 2000) (3 pages) doi:10.1115/1.1331282 History: Received September 01, 1999; Revised April 10, 2000
Copyright © 2000 by ASME
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Bauer,  H. F., 1980, “Vibration of a Rotating Uniform Beam, Part 1: Orientation in the Axis of Rotation,” J. Sound Vib., 72, No. 2, pp. 177–189.
Lee,  C. W., Katz,  R., Ulsoy,  A. G., and Scott,  R. A., 1988, “Modal Analysis of a Distributed Parameter Rotating Beam,” J. Sound Vib., 122, No. 1, pp. 119–130.
Katz,  R., Lee,  C. W., Ulsoy,  A. G., and Scott,  R. A., 1988, “Dynamic Responses of a Rotating Shaft Subjected to a Moving Load,” J. Sound Vib., 122, No. 1, pp. 131–148.
Zu,  J. W., and Han,  R. P. S., 1992, “Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam With General Boundary Conditions,” ASME J. Appl. Mech., 59, pp. S197–S203.
Tabarrok, B., and Rimrott, F. P. J., 1994, Variational Methods and Complementary Formulations in Dynamics, Kluwer, Dordrecht, The Netherlands.


Grahic Jump Location
An overhung stepped shaft



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