Acceleration of Unbalanced Rotor Through the Resonance of Supporting Structure

[+] Author and Article Information
F. Victor, F. Ellyin

Structures and Solid Mechanics Section, Department of Civil Engineering, University of Sherbrooke, Sherbrooke, Quebec, Canada J1K 2R1

J. Appl. Mech 48(2), 419-424 (Jun 01, 1981) (6 pages) doi:10.1115/1.3157632 History: Received May 01, 1980; Revised October 01, 1980; Online July 21, 2009


The dynamic response of a simple beam excited at its midspan by the action of a turbomachine secured to it, is investigated in detail. The forcing function includes transients at startup or shutdown. Effects of the shear deformation, rotatory inertia, and the internal viscous damping, which may depend on the frequency, are considered individually as well as in combined forms. The results indicate that the maximum amplitude of vibration is highly dependent on the acceleration rate through the critical frequency. There is also an apparent shift in its position as compared to the classical resonance frequency. Influences of shear deformation and rotatory inertia are significant when the supporting structure (or foundation) is relatively massive.

Copyright © 1981 by ASME
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