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
N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).
V. V. Bolotin, Nonconservative Problems in the Theory of Elastic Stability [in Russian], Fizmatgiz, Moscow (1961).
A. S. Vol’mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
A. S. Vol’mir, Shells in Fluid Flow: Problems of Hydroelasticity [in Russian], Nauka, Moscow (1979).
R. F. Ganiev and P. S. Koval’chuk, Dynamics of Systems of Rigid and Elastic Bodies [in Russian], Mashinostroenie, Moscow (1980).
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).
V. D. Kubenko, P. S. Koval’chuk, and N. P. Podchasov, Nonlinear Vibrations of Cylindrical Shells [in Russian], Vyshcha Shkola, Kiev (1989).
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).
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).
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).
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).
P. S. Koval’chuk, “Nonlinear vibrations of a cylindrical shell containing a flowing fluid,” Int. Appl. Mech., 41, No. 4, 405–412 (2005).
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).
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).
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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