Vibration Localization in Rotating Shafts, Part 1: Theory

[+] Author and Article Information
A. Galip Ulsoy, Christophe Pierre, Suhyun Choi

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125

J. Vib. Acoust 120(1), 138-148 (Jan 01, 1998) (11 pages) doi:10.1115/1.2893796 History: Received May 01, 1995; Revised December 01, 1995; Online February 26, 2008


This paper presents a theoretical study of vibration localization in single-span, flexible, rotating shafts. A noncircular cross-section of the rotating shaft, leading to dissimilar lateral moments of inertia, can introduce disorder. Internal coupling between the principal directions of vibration is provided by the rotational speed through the gyroscopic moments. It is shown, both analytically and numerically, that directional vibration localization can occur for certain appropriate combinations of disorder and coupling.

Copyright © 1998 by The American Society of Mechanical Engineers
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