Calculation of the Response of an Impulsively Excited Oscillator in an Infinite Acoustic Fluid

[+] Author and Article Information
A. V. Clark, A. M. Whitman

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pa. 19104

J. Appl. Mech 48(4), 749-752 (Dec 01, 1981) (4 pages) doi:10.1115/1.3157727 History: Received June 01, 1980; Revised March 01, 1981; Online July 21, 2009


The response of an impulsively excited single-degree-of-freedom oscillator submerged in an infinite acoustic fluid is considered. The character of the response is determined by the quantity ka; k is the wave number associated with the in-vacuo natural frequency of the oscillator, and a is a characteristic structural dimension. For low-frequency oscillators (ka ≪ 1), the response consists of two parts. The first is the usual hydrodynamic solution in which the effect of the fluid on the structure is that of an added mass. The second is much smaller (of order ka) and is significant only in a “boundary layer” in time of order a/c, with c the fluid sonic velocity. For high-frequency oscillators (ka ≫ 1), the principal effect of the fluid is a decay of oscillator vibration due to sound radiation.

Copyright © 1981 by ASME
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