Effects of Load Parameters on the Natural Frequencies and Stability of a Flexible Spinning Disk With a Stationary Load System

[+] Author and Article Information
Jen-San Chen, D. B. Bogy

Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Appl. Mech 59(2S), S230-S235 (Jun 01, 1992) doi:10.1115/1.2899494 History: Received October 05, 1990; Revised April 10, 1991; Online March 31, 2008


The orthogonality properties among the eigenfunctions for a gyroscopic system are derived for a stiffness operator that is not positive definite. The derivatives of the eigenvalues with respect to certain parameters in the system are then obtained. The results are applied to a spinning disk in contact with a stationary load system, which contains such parameters as friction force, transverse mass, damping, stiffness, and the analogous pitching elements, to predict the effects of these parameters and the stiffening of the disk due to the centrifugal force on the natural frequencies and stability of the spinning disk. The results obtained provide a theoretical understanding for previously reported observations based on numerical solutions.

Copyright © 1992 by The American Society of Mechanical Engineers
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