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The Problem of Forced Nonlinear Vibrations of Cylindrical Shells Completely Filled with Liquid

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Abstract

The forced nonlinear vibrations of a thin cylindrical shell completely filled with a liquid are studied. A refined mathematical model is used. The model takes into account the nonlinear terms up to the fifth power of the generalized displacement of the shell. The Bogolyubov’Mitropolsky averaging method is used to plot amplitude’frequency response curves for steady-state vibrations. The steady-state vibrations at the frequency of principal harmonic resonance are analyzed for stability

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    P. S. Koval’chuk & L. A. Kruk

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  1. P. S. Koval’chuk
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  2. L. A. Kruk
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 2, pp. 52–59, February 2005.

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Koval’chuk, P.S., Kruk, L.A. The Problem of Forced Nonlinear Vibrations of Cylindrical Shells Completely Filled with Liquid. Int Appl Mech 41, 154–160 (2005). https://doi.org/10.1007/s10778-005-0071-y

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  • DOI: https://doi.org/10.1007/s10778-005-0071-y

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