Acoustic Resonances in Cylinder Bundles Oscillating in a Compressible Fluid

[+] Author and Article Information
W. H. Lin, A. C. Raptis

Components Technology Division, Argonne National Laboratory, Argonne, Ill. 60439

J. Pressure Vessel Technol 108(2), 197-201 (May 01, 1986) (5 pages) doi:10.1115/1.3264769 History: Received May 06, 1985; Revised July 11, 1985; Online November 05, 2009


This paper deals with an analytical study on acoustic resonances of elastic oscillations of a group of parallel, circular, thin cylinders in an unbounded volume of barotropic, compressible, inviscid fluid. The perturbed motion of the fluid is assumed due entirely to the flexural oscillations of the cylinders. The motion of the fluid disturbances is first formulated in a three-dimensional wave form and then casted into a two-dimensional Helmholtz equation for the harmonic motion in time and in axial space. The acoustic motion in the fluid and the elastic motion in the cylinders are solved simultaneously. Acoustic resonances were approximately determined from the secular (eigenvalue) equation by the method of successive iteration with the use of digital computers for a given set of the fluid properties and the cylinders’ geometry and properties. Effects of the flexural wavenumber and the configuration of and the spacing between the cylinders on the acoustic resonances were thoroughly investigated.

Copyright © 1986 by ASME
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