Energy Transfer From High-to Low-Frequency Modes in a Flexible Structure via Modulation

[+] Author and Article Information
S. A. Nayfeh, A. H. Nayfeh

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Vib. Acoust 116(2), 203-207 (Apr 01, 1994) (5 pages) doi:10.1115/1.2930413 History: Received October 01, 1992; Online June 17, 2008


An experimental study of the response of axially-symmetric (i.e., circular cross-section) cantilever beams to planar external excitations is presented. Because of the axial symmetry, one-to-one internal resonances occur at each natural frequency. These resonances cause the planar motions to lose stability and nonplanar (whirling) motions are observed. Under certain conditions, periodically-and chaotically-modulated motions may occur. In addition, when the beam is excited near one of its high natural frequencies, large first-mode responses accompanied by slow modulations of the amplitudes and phases of high-frequency modes are observed. This interaction between high-and low-frequency modes may be extremely dangerous because the amplitudes of the responses of the low-frequency modes can be very large compared with those of the directly excited high-frequency modes.

Copyright © 1994 by The American Society of Mechanical Engineers
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