Mode Localization Phenomena in Nearly Periodic Systems

[+] Author and Article Information
C. W. Cai

Department of Mechanics, Zhongshan University, Guangzhou, P.R. of China

Y. K. Cheung, H. C. Chan

Department of Civil and Structural Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

J. Appl. Mech 62(1), 141-149 (Mar 01, 1995) (9 pages) doi:10.1115/1.2895895 History: Received September 17, 1992; Revised August 27, 1993; Online October 30, 2007


The normal mode localization in nearly periodic systems with one-degree-of-freedom subsystems and a single subsystem departing from the regularity in one, two, and three dimensions has been studied. The closed-frequency equations may be derived by using the U-transformation technique. It is shown that in one- and two-dimensional problems any amount of simple disorder (for stiffness or mass), however small, is sufficient to localize one mode and in three-dimensional systems, a finite threshold of disorder is needed in order to localize one mode. These conclusions are in agreement with those predicted by Hodges.

Copyright © 1995 by The American Society of Mechanical Engineers
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