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Application of asymptotic methods to the investigation of one-frequency nonlinear oscillations of cylindrical shells interacting with moving fluid

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Abstract

We demonstrate the applicability of the Bogolyubov-Mitropol’skii asymptotic method to the construction of one-frequency solutions of a system of nonlinear equations used to describe the multimode free, forced, and parametrically excited vibrations of cylindrical shells interacting with moving fluid.

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Authors and Affiliations

  1. Institute of Mechanics, Ukrainian National Academy of Sciences, Kiev

    V. D. Kubenko, P. S. Koval’chuk & L. A. Kruk

Authors
  1. V. D. Kubenko
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  2. P. S. Koval’chuk
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  3. L. A. Kruk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 476–487, April, 2007.

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Kubenko, V.D., Koval’chuk, P.S. & Kruk, L.A. Application of asymptotic methods to the investigation of one-frequency nonlinear oscillations of cylindrical shells interacting with moving fluid. Ukr Math J 59, 533–545 (2007). https://doi.org/10.1007/s11253-007-0034-z

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  • DOI: https://doi.org/10.1007/s11253-007-0034-z

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