Flexural Waves in a Periodic Beam

[+] Author and Article Information
Sen Yung Lee

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan

Huei Yaw Ke

Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan

Ming Jang Kao

Chung Shan Institute of Science and Technology, Lung Tan, Taiwan

J. Appl. Mech 57(3), 779-783 (Sep 01, 1990) (5 pages) doi:10.1115/1.2897092 History: Received August 15, 1988; Revised May 17, 1989; Online March 31, 2008


The flexural wave propagation in the periodic beam can be interpreted as the superposition of two pairs of waves propagating in opposite directions. One of them forms an attenuated standing wave. The dispersion spectrum of the other pair of waves shows the band structure, consisting of stopping and passing bands. For the symmetry structure, the dispersion equation at the end points of Brillouin zone is uncoupled into two equations. Each of them corresponds to a standing wave which is either symmetric or antisymmetric about the midplane of the layers.

Copyright © 1990 by The American Society of Mechanical Engineers
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