Skip to main content
Log in

Dispersion Relation for a Finite Cylindrical Shell Immersed in a Liquid

  • MECHANICS OF MACHINES
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.

Similar content being viewed by others

REFERENCES

  1. 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.

    Google Scholar 

  2. 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.

  3. 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.

    Article  Google Scholar 

  4. 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.

  5. 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.

    Article  Google Scholar 

  6. Warburton, G.B., Vibration of a cylindrical shell in an acoustic medium, J. Mech. Eng. Sci., 1961, no. 3, p. 69.

    Article  Google Scholar 

  7. 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.

    Article  Google Scholar 

  8. Bolotin, V.V., Nekonservativnye zadachi teorii uprugoi ustoichivosti (Nonconservative Problems of the Theory of Elastic Stability), Moscow: Fizmatlit, 1961; New York: Macmillan, 1963.

  9. Muzycheko, V.V., Difraktsiya zvuka na uprugikh obolochkakh (Sound Diffraction on Elastic Shells), Moscow: Nauka, 1993, p. 336.

  10. 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.

  11. Biderman, V.L., Mekhanika tonkostennykh konstruktsii. Statika (Mechanics of Thin-Walled Structures. Statics), Moscow: Mashinostroenie, 1977, p. 260.

  12. Prochnost'. Ustoichivost’. Kolebaniya. Spravochnik (Strength. Sustainability. Fluctuations. The Handbook), Birger, I.A. and Panovko, Ya.G., Eds., Moscow: Mashinostroenie, 1968, vol. 3, p. 418.

    Google Scholar 

  13. Forsberg, K., Influence of boundary conditions on the modal characteristics of thin cylindrical shells, J. AIAA, 1964, vol. 2, no. 12, p. 2150.

    Article  Google Scholar 

  14. Shenderov, E.L., Volnovye zadachi gidroakustiki (Wave Problems of Hydroacoustics), Leningrad: Sudostroenie, 1972, p. 349.

  15. Skudrzyk, E., The Foundations of Acoustics, Wien: Springer, 1971, vol. 2.

    Book  Google Scholar 

  16. 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.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. I. Kosarev.

Additional information

Translated by L. Trubitsyna

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618819060062

Keywords:

Navigation