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Forced nonlinear oscillations of cylindrical shells interacting with fluid flow

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Abstract

The dynamic interaction of thin cylindrical shells with the fluid flow inside them under external periodic loads is studied. A technique is proposed to calculate the parameters of forced nonlinear oscillations of shells with a fluid moving with nearly critical velocities. The amplitude-frequency characteristics of the fluid-shell system under steady-state oscillation are plotted

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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. V. V. Bolotin, Nonconservative Problems in the Theory of Elastic Stability [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. V. D. Kubenko, P. S. Koval’chuk, and T. S. Krasnopol’skaya, Nonlinear Interaction of Flexural Vibration Modes of Cylindrical Shells [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

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

    MATH  Google Scholar 

  8. M. Amabili and M. P. Païdoussis, “Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction,” Appl. Mech. Rev., 56, No. 4, 349–381 (2003).

    Article  Google Scholar 

  9. M. Amabili, F. Pellicano, and M. P. Païdoussis, “Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: Stability,” J. Sound Vibr., 225, No. 4, 655–699 (1999).

    Article  ADS  Google Scholar 

  10. M. Amabili, F. Pellicano, and M. P. Païdoussis, “Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part IV: Large amplitude vibrations with flow,” J. Sound Vibr., 237, No. 4, 641–666 (2000).

    Article  ADS  Google Scholar 

  11. V. A. Dzupanov and S. V. Lilkova-Markova, “Divergent instability domains of a fluid-conveying cantilevered pipe with a combined support,” Int. Appl. Mech., 40, No. 3, 319–321 (2004).

    Article  Google Scholar 

  12. 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 

  13. 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 

  14. 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 

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Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 91–99, April 2006.

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Koval’chuk, P.S., Kruk, L.A. Forced nonlinear oscillations of cylindrical shells interacting with fluid flow. Int Appl Mech 42, 447–454 (2006). https://doi.org/10.1007/s10778-006-0101-4

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  • DOI: https://doi.org/10.1007/s10778-006-0101-4

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