Dispersion of axially symmetric waves in fluid-filled cylindrical shells

X.L. Bao, H. Überall, P. K. Raju, A. C. Ahyi, Irina Bjørnø, Leif Bjørnø Jensen

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    Abstract

    Acoustic waves normally incident on an elastic cylindrical shell can cause the excitation of circumferential elastic waves on the shell. These shells may be empty and fluid immersed, or fluid filled in an ambient medium of air, or doubly fluid loaded inside and out. Circumferential waves on such shells have been investigated for the case of aluminum shells, and their phase-velocity dispersion curves have been obtained for double fluid loading [Bao, Raju, and Überall, J. Acoust. Soc. Am. 105, 2704 (1999)]. Similar results were obtained for empty or fluid-filled brass shells [Kumar, Acustica 27, 317 (1972)]. We have extended the work of Kumar to the case of fluid-filled aluminum shells and steel shells imbedded in air. These cases demonstrate the existence of circumferential waves traveling in the filler fluid, exhibiting a certain simplicity of the dispersion curves of these waves. This is in striking contrast to the results for double (outside and inside) loading by two fluids of comparable density, where circumferential waves in both external and internal fluids were found, their interaction causing segmentation and repulsion phenomena of their dispersion curves. The condition of standing circumferential waves determines the eigenfrequency spectrum of the shell.
    Original languageEnglish
    JournalAcoustical Society of America. Journal
    Volume107
    Issue number5
    Pages (from-to)2847-2848
    ISSN0001-4966
    DOIs
    Publication statusPublished - 2000

    Bibliographical note

    Copyright (2000) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

    Cite this

    Bao, X. L., Überall, H., Raju, P. K., Ahyi, A. C., Bjørnø, I., & Jensen, L. B. (2000). Dispersion of axially symmetric waves in fluid-filled cylindrical shells. Acoustical Society of America. Journal, 107(5), 2847-2848. https://doi.org/10.1121/1.429206