Summary
The existence of a unique axisymmetric non-radiating surface wave near a cylindrical elastic shell submerged in a fluid and described by Kennard's model is proved.
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Bleich, H. H., Baron, M. L.: Free and forced vibration of an infinitely long cylindrical shell in an infinite acoustic medium. J. Appl. Mech.56, 167–177 (1954).
Junger, M. C.: Radiation loading of cylindrical and spherical surfaces. J. Acoust. Soc. Amer.24, 288–289 (1953).
Warburton, G. B.: Vibration of a cylindrical shell in an acoustic medium. J. Mech. Eng. Sci.3, 69–79 (1961).
Talmant, M. Quentin, G.: Backscattering of a short ultrasonic pulse from thin cylindrical shells. J. Appl. Phys.63, 1857–1863 (1988).
Flax, L., Dragonette, L. R., Überall, H.: How the resonance scattering theory was established. In: Acoustic resonance scattering (Catholic University of America, Washington, DC), pp. 49–67 (1992).
Maze, G., Izbicki, J. L. Ripoche, J.: Resonance of plates and cylinders: guided waves. J. Acoust. Soc. Amer.77, 1352–1357 (1984).
Bjarnason, J., Achenbach, J. D., Igusa, T.: Acoustic radiation from a cylindrical shell with an internal plate. Wave Motion15, 23–41 (1992).
Guo, Y. P.: Scattering from cylindrical shells with internal elastic plates. J. Acoust. Soc. Amer.93, 1936–1946 (1992).
Cuschieri, J. M.: Acoustic scattering from fluid-loaded cylindrical shell with discontinuities: single plate bulkhead. J. Acoust. Soc. Amer.98, 320–338 (1995).
Burroughs, C. B.: Acoustic radiation from fluid loaded infinite circular cylinders with doubly periodic ring supports. J. Acoust. Soc. Amer.75, 715–722 (1984).
Klauson, A., Metsaveer, J.: Sound scattering by a cylindrical shell reinforced by lengthwise ribs and walls. J. Acoust. Soc. Amer.91, 1834–1843 (1992).
Felsen, L. B., Shaya, R.: Bragg-modulated hybrid ray-mode algorithm for sound scattering from a periodically ribbed submerged elastic cylindrical shell: theory and asymptotics. J. Acoust. Soc. Amer.96, 3536–3547 (1994).
Kennard, E. H.: The new approach to shell theory: circular cylinders. J. Appl. Mech.20, 33–40 (1953).
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Belinskiy, B.P., Dauer, J.P. & Überall, H. The reality of fluid-wave resonance frequencies on a cylindrical shell. Acta Mechanica 141, 117–123 (2000). https://doi.org/10.1007/BF01176811
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DOI: https://doi.org/10.1007/BF01176811