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Natural modes and frequencies of in-plane vibrations of a fixed elastic ring

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The natural modes and frequencies of an elastic ring fixed at a point are determined by numerically solving a boundary-value problem for a differential operator of the sixth order. The ring models a large circular antenna that slowly expands under zero gravity. The in-plane flexural vibrations of the ring are analyzed. Numerical results are presented

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Authors and Affiliations

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

    A. E. Zakrzhevskii & V. F. Tkachenko

  2. M. K. Yangel’ State Design Office “Yuzhnoe”, 3 Krivorozhskaya St., Dnepropetrovsk, Ukraine, 490008

    V. S. Khoroshilov

Authors
  1. A. E. Zakrzhevskii
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  2. V. F. Tkachenko
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  3. V. S. Khoroshilov
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Corresponding author

Correspondence to A. E. Zakrzhevskii.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 46, No. 12, pp. 100–109, December 2010.

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Zakrzhevskii, A.E., Tkachenko, V.F. & Khoroshilov, V.S. Natural modes and frequencies of in-plane vibrations of a fixed elastic ring. Int Appl Mech 46, 1420–1427 (2011). https://doi.org/10.1007/s10778-011-0436-3

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  • DOI: https://doi.org/10.1007/s10778-011-0436-3

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