On the Critical Speeds of a Continuous Rotor

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

IIT Research Institute, Chicago, Ill.

R. A. Eubanks

University of Illinois, Urbana, Ill.

J. Eng. Ind 91(4), 1180-1188 (Nov 01, 1969) (9 pages) doi:10.1115/1.3591768 History: Received December 30, 1968


An analytical investigation was made on the effect of axial torque on the critical speeds of a continuous rotor whose motion was described by a set of partial differential equations including the effects of transverse shear, rotatory inertia, and gyroscopic moments. The equations of motion and associated boundary conditions for long and short bearings were cast in nondimensional form to facilitate the study of the influence of the aforementioned effects on a torque-transmitting rotor’s critical speeds. The results of this study were compared to classical results of Bernoulli-Enter and Timoshenko to determine the relative importance of the rotor’s “secondary phenomena” in a critical speed calculation.

Copyright © 1969 by ASME
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