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Phenomenon of leaky free waves in the modal response of a uniform cylinder

 

作者: G. Maidanik,   K. J. Becker,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1997)
卷期: Volume 102, issue 3  

页码: 1372-1382

 

ISSN:0001-4966

 

年代: 1997

 

DOI:10.1121/1.420055

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

The phenomenon of leaky free waves in the modal response of a uniform shell is manifest if (1) in the absence of fluid loading the locus of the free waves as a function of frequency crosses from the subsonic region to the supersonic region across the sonic locus and (2) in the presence of fluid loading the fluid surface impedance at and in the vicinity of the sonic locus is high and the introduction of this fluid loading does not, in itself, prevent the free waves of concern from reaching the sonic locus. In this consideration the sonic locus remains fixed relative to the properties of the shell and, therefore, changes in the fluid loading, on a given shell, are induced by changes in the fluid density only. The phenomenon of leaky free waves in the modal response of a uniform cylinder is investigated. It is found that two distinct examples of leaky free waves are manifested. The first is associated with the flexural free waves that reside in a frequency range that lies above the critical frequency with respect to the speed of sound in the fluid, and the second is associated with the curvature free waves that reside in a frequency range that lies below the ring frequency. The phenomenon of leaky free waves in these two examples is computed, displayed, and discussed.

 

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