Abstract
The dispersion relation is obtained for a free finite cylindrical shell immersed in a liquid. An example of calculating the roots of the dispersion relation is given.
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REFERENCES
Schenck, H.A. and Benthien, G.W., The efficient calculation and display of dispersion curves for a thin cylindrical shell immersed in a fluid, Akust. Zh., 1955, vol. 41, no. 5, p. 828.
Shenck, H.A., The efficient calculation and display of dispersion curves for a thin cylindrical shell immersed in a fluid, Proc. ICA, 1992, vol. 14, p. 8.
Junger, M.C., The physical interpretation of the expression for an outgoing wave in cylindrical coordinates, J. Acoust. Soc. Am., 1953, vol. 25, p. 40.
Bleich, H.H. and Baron, M.L., Free and forced vibrations of an infinitely long cylindrical shell in an infinite acoustical medium, J. Appl. Mech., 1954, p. 167.
Smith, P.W., Jr., Phase velocities and displacement characteristics of free waves in a thin cylindrical shell, J. Acoust. Soc. Am., 1955, no. 27, p. 1065.
Warburton, G.B., Vibration of a cylindrical shell in an acoustic medium, J. Mech. Eng. Sci., 1961, no. 3, p. 69.
Scott, J.F.M., The free modes of propagation of a infinite fluid-loaded thin cylindrical shell, J. Sound Vibrat., 1988, no. 125, p. 241.
Bolotin, V.V., Nekonservativnye zadachi teorii uprugoi ustoichivosti (Nonconservative Problems of the Theory of Elastic Stability), Moscow: Fizmatlit, 1961; New York: Macmillan, 1963.
Muzycheko, V.V., Difraktsiya zvuka na uprugikh obolochkakh (Sound Diffraction on Elastic Shells), Moscow: Nauka, 1993, p. 336.
Kosarev, O.I., Tarkhanov, G.V., Ostapishin, N.M., Bednyi, I.A., and Sebyakina, A.N., Oscillations of a finite free cylindrical shell in a liquid, in Kolebaniya i volny v mekhanicheskikh sistemakh: Materialy mezhdunarodnoi nauchnoi konferentsii (Proceedings of the International Conference on Oscillations and Waves in a Mechanical System), Ganiev, R.F., Ed., Moscow: Inst. Komp’yut. Issled., 2012, p. 65.
Biderman, V.L., Mekhanika tonkostennykh konstruktsii. Statika (Mechanics of Thin-Walled Structures. Statics), Moscow: Mashinostroenie, 1977, p. 260.
Prochnost'. Ustoichivost’. Kolebaniya. Spravochnik (Strength. Sustainability. Fluctuations. The Handbook), Birger, I.A. and Panovko, Ya.G., Eds., Moscow: Mashinostroenie, 1968, vol. 3, p. 418.
Forsberg, K., Influence of boundary conditions on the modal characteristics of thin cylindrical shells, J. AIAA, 1964, vol. 2, no. 12, p. 2150.
Shenderov, E.L., Volnovye zadachi gidroakustiki (Wave Problems of Hydroacoustics), Leningrad: Sudostroenie, 1972, p. 349.
Skudrzyk, E., The Foundations of Acoustics, Wien: Springer, 1971, vol. 2.
Kosarev, O.I., Impedances of radiation and scattering by cylindrical shells in calculation of the primary and secondary far field, J. Mach. Manuf. Reliab., 2018, vol. 47, no. 1, pp. 13–18.
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Translated by L. Trubitsyna
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Kosarev, O.I. Dispersion Relation for a Finite Cylindrical Shell Immersed in a Liquid. J. Mach. Manuf. Reliab. 48, 517–524 (2019). https://doi.org/10.3103/S1052618819060062
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DOI: https://doi.org/10.3103/S1052618819060062