On the Unstable Vibrations of a Shaft Carrying an Unsymmetrical Rotor

[+] Author and Article Information
Toshio Yamamoto, Hiroshi Ōta

Department of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Japan

J. Appl. Mech 31(3), 515-522 (Sep 01, 1964) (8 pages) doi:10.1115/1.3629670 History: Received June 25, 1963; Revised December 16, 1963; Online September 15, 2011


In a rotating shaft system carrying an unsymmetrical rotor, there is always one unstable region in the neighborhood of the rotating speed at which the sum of two natural frequencies of the system is equal to twice the rotating speed of the shaft. In this unstable region two unstable lateral vibrations with frequencies P1 and P2 take place simultaneously and grow up steadily. Generally, frequencies P1 and P2 are not equal to the rotating speed ω of the shaft and the sum of these P1 + P2 is always equal to 2ω. Of course there are other unstable regions which appear at the major critical speeds.

Copyright © 1964 by ASME
Topics: Rotors , Vibration
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