Skip to main content
Log in

On the spectrum of natural frequencies of circular cylindrical shells completely filled with a fluid

  • Published:
International Applied Mechanics Aims and scope

Abstract

The natural frequencies of cylindrical shells filled with a fluid and having the ends either simply supported or clamped are determined. Conditions are studied under which the natural frequencies of the shell are close or multiple

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.

Similar content being viewed by others

References

  1. N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).

    Google Scholar 

  2. A. S. Vol’mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. A. S. Vol’mir, Shells in Fluid and Gas Flow: Problems of Hydroelasticity [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  4. R. F. Ganiev and P. S. Koval’chuk, Dynamics of Systems of Rigid and Elastic Bodies [in Russian], Mashinostroenie, Moscow (1980).

    Google Scholar 

  5. V. D. Kubenko, P. S. Koval’chuk, and N. P. Podchasov, Nonlinear Vibration of Cylindrical Shells [in Russian], Vyshcha Shkola, Kiev (1989).

    Google Scholar 

  6. M. Amabili, F. Pellicano, and A. F. Vakakis, “Nonlinear vibrations and multiple resonances of fluid-filled circular cylindrical shells. Part 1: Equations of motion and numerical results,” J. Vibrat. Acoust., 122, 346–354 (2000).

    Article  Google Scholar 

  7. P. S. Koval’chuk, “Nonlinear vibrations of a cylindrical shell containing a flowing fluid,” Int. Appl. Mech., 41, No. 4, 405–412 (2005).

    Article  Google Scholar 

  8. P. S. Koval’chuk and L. A. Kruk, “The problem of forced nonlinear vibrations of cylindrical shells completely filled with liquid,” Int. Appl. Mech., 41, No. 2, 154–160 (2005).

    Article  Google Scholar 

  9. V. D. Kubenko, P. S. Koval’chuk, and L.A. Kruk, “Wave deformation modes of fluid-containing cylindrical shells under periodic force,” Int. Appl. Mech., 41, No. 5, 526–531 (2005).

    Article  Google Scholar 

  10. V. D. Kubenko, P. S. Koval’chuk, and L. A. Kruk, “Non-linear interaction of bending deformations of free-oscillating cylindrical shells,” J. Sound Vibrat., No. 265, 245–268 (2003).

    Google Scholar 

  11. V. D. Kubenko, P. S. Koval’chuk, and L. A. Kruk, “On multimode nonlinear vibrations of filled cylindrical shells,” Int. Appl. Mech., 39, No. 1, 85–92 (2003).

    Article  MATH  Google Scholar 

  12. V. D. Kubenko, P. S. Koval’chuk, and L. A. Kruk, “Free nonlinear vibrations of fluid-filled cylindrical shells with multiple natural frequencies,” Int. Appl. Mech., 41, No. 10, 1193–1203 (2005).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 42–49, May 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koval’chuk, P.S., Kruk, L.A. On the spectrum of natural frequencies of circular cylindrical shells completely filled with a fluid. Int Appl Mech 42, 529–535 (2006). https://doi.org/10.1007/s10778-006-0116-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-006-0116-x

Keywords

Navigation