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Free linear vibrations of thin axisymmetric parabolic shells

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Abstract

The Rayleigh–Ritz method is used to minimize the energy functional in order to calculate eigenfrequencies of parabolic shells. The properties of eigenfrequencies and eigenmodes of different heights parabolic shells are analyzed numerically.

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Acknowledgments

This research is particularly supported by the grant of National Academy of Science of Ukraine devoted to space research (Contract No. II-67-14).

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Authors and Affiliations

  1. Department of Vibrations, Podgorny Institute for Mechanical Engineering, National Academy of Science of Ukraine, 2/10 Dm. Pozharskogo St., Kharkiv, 61046, Ukraine

    M. V. Chernobryvko, K. V. Avramov & V. N. Romanenko

  2. Design office “Yuzhnoe”, Dnipropetrovs’k, Ukraine

    T. J. Batutina & A. M. Tonkonogenko

Authors
  1. M. V. Chernobryvko
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  2. K. V. Avramov
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  3. V. N. Romanenko
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  4. T. J. Batutina
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  5. A. M. Tonkonogenko
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Correspondence to K. V. Avramov.

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Chernobryvko, M.V., Avramov, K.V., Romanenko, V.N. et al. Free linear vibrations of thin axisymmetric parabolic shells. Meccanica 49, 2839–2845 (2014). https://doi.org/10.1007/s11012-014-0027-6

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  • DOI: https://doi.org/10.1007/s11012-014-0027-6

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