Spectral Analysis of Wave Motion in Plane Solids With Boundaries

[+] Author and Article Information
S. A. Rizzi

Structural Acoustics Branch, NASA Langley Research Center, Hampton, VA 23665

J. F. Doyle

School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907

J. Vib. Acoust 114(2), 133-140 (Apr 01, 1992) (8 pages) doi:10.1115/1.2930241 History: Received May 01, 1990; Revised May 01, 1991; Online June 17, 2008


A spectral formulation is employed whereby in-plane stress waves are synthesized from the superposition of components at discrete frequencies and wavenumbers. The summations are performed using the fast Fourier transform and the Fourier series, respectively. Because the components are discrete, the solution to problems (over the entire field) with completely arbitrary loading, both in time and space, is made tractable. Waves generated from a line load acting on an infinite and semiinfinite plane are first considered. A cascade approach is then adopted for the treatment of these waves incident on a free, fixed, and elastic boundary. At each stage, the results are compared with those obtained from the available classical solutions and/or finite element results. These studies will form the basis for the investigation of in-plane stress waves in multiply layered media.

Copyright © 1992 by The American Society of Mechanical Engineers
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