Estimate of the Impedance of a Finite Cylindrical Shell for the Exponential Mode of Displacement


An algorithm for computing the impedance of a finite cylindrical shell submerged into liquid is developed. The formula obtained allows estimating the maximum and asymptotic values of impedance in dependence on the frequency and wave parameter of the exponential mode of the radial displacement of the shell.

This is a preview of subscription content, access via your institution.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.


  1. 1

    Muzychenko, V.V. and Rybak, S.A., Radiation impedance of a limited cylindrical region, Akust. Zh., 1990, vol. 36, no. 5, p. 898.

    Google Scholar 

  2. 2

    Fedoryuk, M.V., Metod perevala (Saddle-Point Technique), Moscow: Kn. Dom LIBROKOM, 2015.

  3. 3

    Marple, S.L., Digital Spectral Analysis: With Applications, Prentice-Hall, Inc., 1986.

    Google Scholar 

  4. 4

    Prochnost’, ustoichivost’, kolebaniya. Spravochnik (Strength, Stability, Vibration. Handbook), Birger, I.A. and Panovko, Ya.G., Eds., Moscow: Mashinostroenie, 1968, vol. 3.

    Google Scholar 

  5. 5

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

  6. 6

    Korn, G. and Korn, T., Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov (Handbook of Mathematics for Scientists and Engineers), Moscow: Nauka, 1978.

  7. 7

    Kosarev, O.I., Ostapishin, N.M., Bedny, I.A., and Mamonova, M.G., Distribution of fluid pressure along the length of a finite cylindrical oscillating shell, J. Mach. Manuf. Reliab., 2012, vol. 41, pp. 344–347.

    Article  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to N. M. Ostapishin.

Additional information

Translated by E. Oborin

About this article

Verify currency and authenticity via CrossMark

Cite this article

Ostapishin, N.M. Estimate of the Impedance of a Finite Cylindrical Shell for the Exponential Mode of Displacement. J. Mach. Manuf. Reliab. 49, 914–919 (2020).

Download citation


  • finite cylindrical shell
  • boundary conditions
  • oscillation mode
  • sound pressure
  • estimate of impedance.