The Stability of a Spinning Elastic Disk With a Transverse Load System

[+] Author and Article Information
W. D. Iwan

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.

T. L. Moeller

IBM Research Center, Yorktown Heights, N. Y.

J. Appl. Mech 43(3), 485-490 (Sep 01, 1976) (6 pages) doi:10.1115/1.3423896 History: Received July 01, 1975; Revised November 01, 1975; Online July 12, 2010


This paper presents results of an investigation on the effect of a transverse load on the stability of a spinning elastic disk. The disk rotates at constant angular velocity and the load consists of a mass distributed over a small area of the disk, a spring, and a dashpot. The equation of motion for the transverse vibration of the disk is written as a system of linear ordinary differential equations with constant coefficients. The analysis indicates that the disk system is unstable for speeds in a region above the critical speeds of vibration of the spinning disk due to the effects of load stiffness. The mass and damping of the load system cause a terminal instability and other instabilities occur as a result of modal interaction.

Copyright © 1976 by ASME
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