Transient Interaction of a Circular Plate and a Fluid Medium

[+] Author and Article Information
J. W. Berglund

Theoretical Analysis Division, Civil Engineering Research Facility, The University of New Mexico, Albuquerque, New Mex. 87131

J. Appl. Mech 46(1), 26-30 (Mar 01, 1979) (5 pages) doi:10.1115/1.3424523 History: Received April 01, 1978; Revised July 01, 1978; Online July 12, 2010


The transient dynamic response of an elastic circular plate subjected to a suddenly applied pressure is determined for several edge boundary conditions. The plate boundary is attached to a semi-infinite, radially rigid tube which is filled with an acoustic fluid, and pressure is applied to the in-vacuo side of the plate. The transient solution is determined by using a technique in which the plate is subjected to a periodic pressure function constructed of appropriately signed and time-shifted Heaviside step functions, and by relying on a physical mechanism which returns the plate and fluid near the plate to an unstrained state of rest between pulses. The plate response is presented for a number of radius-to-thickness ratios and edge boundary conditions when interacting with water. Comparisons are also made with solutions obtained using a plane wave approximation to the fluid field.

Copyright © 1979 by ASME
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