Steady Motion of a Plate on an Elastic Half Space

[+] Author and Article Information
M. A. Oien

Bell Telephone Laboratories, Inc., Whippany, N. J.

J. Appl. Mech 40(2), 478-484 (Jun 01, 1973) (7 pages) doi:10.1115/1.3423009 History: Received September 01, 1971; Revised August 01, 1972; Online July 12, 2010


The response of a smooth Bernoulli-Euler plate of finite width and infinite length in contact with an elastic half space to incident plane harmonic waves propagating normally to the infinite axis of the plate is considered. Upon expanding the motion of the plate in a series of vibrational modes, approximate solutions for the response of the plate and the elastic half space are obtained separately using the Bubnov-Galerkin method. Numerical results are presented illustrating the general nature of the response of the plate and showing that individual vibrational modes of the plate are not excited to resonance.

Copyright © 1973 by ASME
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