Low‐frequency vibrational modes of fluid‐loaded thin spherical shells
作者:
L. H. Green,
Roger H. Hackman,
D. H. Trivett,
L. Flax,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1984)
卷期:
Volume 75,
issue S1
页码: 77-77
ISSN:0001-4966
年代: 1984
DOI:10.1121/1.2021607
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The low‐frequency form function for plane‐wave scattering by a fluid‐loaded thin spherical shell is characterized by the highQmonopole or “bubble” resonance. As the shell thickness is increased, the monopole resonance is observed to shift to higher frequency and broaden (i.e., theQof the resonance decreases). With a further increase in thickness, highQresonances appear on top of the spectrum of the monopole resonance. These low‐frequency, highQresonances, first reported by Diercks and Hickling [J. Acoust. Soc. Am.41, 380–393 (1967)] have never been satisfactorily explained. In this paper we present the results of our investigation, based upon the linear theory of elasticity, of these highQresonances. The dependence of the resonances on frequency, and shell and fluid parameters are presented along with the elastic stresses and displacements in the shell. Dispersion curves are generated from numerical solutions and a physical explanation for the strong coupling to the fluid medium is obtained.
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