Wave Propagation in an Elastic Beam or Plate on an Elastic Foundation

[+] Author and Article Information
J. R. Lloyd

Union Carbide Corporation; California Institute of Technology, Pasadena, Calif.

Julius Miklowitz

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 29(3), 459-464 (Sep 01, 1962) (6 pages) doi:10.1115/1.3640589 History: Received May 08, 1961; Online September 16, 2011


Presented is an analysis of wave propagation in an infinite elastic plate or beam on an elastic foundation, based on a comparison of frequency spectra (or wave-train solutions) from the exact equations and existing approximate bending theories. A distinct similarity is found between the spectrum representing the more exact theory of bending and the Rayleigh-Lamb spectrum for symmetric waves in a free elastic plate, including the existence of complex branches. Good agreement between the approximate theories and the exact equations is found for soft foundations under the usual restrictions on high-frequency, short waves.

Copyright © 1962 by ASME
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