On Wave Reflection in an Elastic Plate

[+] Author and Article Information
R. Doby

R-D Associates, Swarthmore, Pa.

J. Appl. Mech 41(4), 1031-1035 (Dec 01, 1974) (5 pages) doi:10.1115/1.3423428 History: Received August 01, 1973; Online July 12, 2010


A precursor boundary concept is introduced which decouples the stress-free boundary conditions at the parallel surfaces of the plate. The resulting orthogonal eigenfunctions are longitudinal and transverse waves. This property is exploited so as to satisfy stress-free conditions at the edge. The theoretical analysis reveals that the reflected waves are reordered so that the longitudinal and transverse modes represent the gradients of the incident transverse and longitudinal waves.

Copyright © 1974 by ASME
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