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Natural Vibrations of Parabolic Shells

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The Rayleigh–Ritz method is used to analyze the natural vibrations of parabolic shells. The expressions for the kinetic and potential energies of a parabolic shell with fixed thickness are obtained. The properties of eigenfrequencies and eigenmodes of natural vibrations of the shells of different heights are investigated.

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Authors and Affiliations

  1. Podgornyi Institute for Problems in Machine-Building, Ukrainian National Academy of Sciences, Kharkov, Ukraine

    M. V. Chernobryvko

Authors
  1. M. V. Chernobryvko
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  2. K. V. Avramov
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 3, pp. 78–85, July–September, 2014.

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Chernobryvko, M.V., Avramov, K.V. Natural Vibrations of Parabolic Shells. J Math Sci 217, 229–238 (2016). https://doi.org/10.1007/s10958-016-2969-9

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  • DOI: https://doi.org/10.1007/s10958-016-2969-9

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