Mode Localization Phenomena in Nearly Periodic Systems-Reference-Cited by-同舟云学术

Mode Localization Phenomena in Nearly Periodic Systems

Published:1995-03-01 Issue:1 Volume:62 Page:141-149
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Cai C. W.¹,Cheung Y. K.²,Chan H. C.²

Affiliation:

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

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/62/1/141/5464141/141_1.pdf

Reference14 articles.

1. Anderson P. W. , 1958, “Absence of Diffusion in Certain Random Lattices,” Physical Review, Vol. 109, pp. 1492–1505.

2. Bendiksen O. O. , 1987, “Mode Localization Phenomena in Large Space Structures,” AIAA Journal, Vol. 25, No. 9, pp. 1241–1248.

3. Cai C. W. , CheungY. K., and ChanH. C., 1988, “Dynamic Response of Infinite Continuous Beams Subjected to a Moving Force—An Exact Method,” Journal of Sound and Vibration, Vol. 123, No. 3, pp. 461–472.

4. Cai C. W. , CheungY. K., and ChanH. C., 1990, “Uncoupling of Dynamic Equations for Periodic Structures,” Journal of Sound and Vibration, Vol. 139, No. 2, pp. 253–263.

5. Chan H. C. , CaiC. W., and CheungY. K., 1989, “Moments and Deflections of Simply Supported Rectangular Grids—An Exact Method,” International Journal of Space Structures, Vol. 4, No. 3, pp. 163–173.

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