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Stability and Nonlinear Vibrations of Closed Cylindrical Shells Interacting with a Fluid Flow (Review)

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International Applied Mechanics Aims and scope

Results of systematic study of the stability and nonlinear vibrations of thin cylindrical shells interacting with a fluid flow are presented. The main patterns of dynamical deformation of shells during divergence and flutter are considered. The effect of different structural features (initial geometrical imperfections, added concentrated masses, boundary conditions, longitudinal and transverse static loads) on the critical (divergence and flutter) velocities is analyzed. The amplitude–frequency response of shells to external periodic radial loads and internal periodic pressure caused by small pulsations of the fluid velocity is determined. A method is proposed to solve nonlinear problems describing nonstationary processes of passing resonance zones by shells interacting with the fluid flow

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    V. D. Kubenko & P. S. Koval’chuk

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  1. V. D. Kubenko
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  2. P. S. Koval’chuk
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Correspondence to V. D. Kubenko.

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 1, pp. 19–78, January–February 2015.

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Kubenko, V.D., Koval’chuk, P.S. Stability and Nonlinear Vibrations of Closed Cylindrical Shells Interacting with a Fluid Flow (Review). Int Appl Mech 51, 12–63 (2015). https://doi.org/10.1007/s10778-015-0672-z

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  • DOI: https://doi.org/10.1007/s10778-015-0672-z

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