On the Critical Speeds of a Continuous Shaft-Disk System

[+] Author and Article Information
R. L. Eshleman

IIT Research Institute, Chicago, Ill.

R. A. Eubanks

University of Illinois, Urbana, Ill.

J. Eng. Ind 89(4), 645-652 (Nov 01, 1967) (8 pages) doi:10.1115/1.3610126 History: Received December 01, 1966; Online August 25, 2011


The effect of gyroscopic moments on the critical speeds of a shaft-disk system mounted in short end bearings is investigated. Representation of the shaft as having continuously distributed mass and elasticity allows accurate determination of higher critical speeds. Frequency equations are obtained for the critical speeds associated with both backward and forward whirling modes. The first four critical speeds (backward and forward whirling modes) are given for a range of shaft and disk sizes and for various disk locations on the shaft. Experimental verification is given for the first and second critical speeds.

Copyright © 1967 by ASME
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