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Influence of reinforcement and elastic foundation on the vibrations of shallow shells with rectangular planform

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International Applied Mechanics Aims and scope

A method for determining the natural frequencies and modes of ribbed shallow shells with rectangular planform on an elastic foundation is developed. The method takes into account the discrete arrangement of the ribs. A shallow spherical shell with square planform is considered as example to analyze the effect of the number of ribs and the Winkler and Pasternak coefficients of subgrade reaction on the natural frequencies and modes. It is recommended to take into account the discrete arrangement of ribs when they are few

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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

    P. Z. Lugovoi & N. Ya. Prokopenko

Authors
  1. P. Z. Lugovoi
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  2. N. Ya. Prokopenko
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Correspondence to P. Z. Lugovoi.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 47, No. 6, pp. 125–130, November 2011.

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Lugovoi, P.Z., Prokopenko, N.Y. Influence of reinforcement and elastic foundation on the vibrations of shallow shells with rectangular planform. Int Appl Mech 47, 714–719 (2011). https://doi.org/10.1007/s10778-011-0496-4

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  • DOI: https://doi.org/10.1007/s10778-011-0496-4

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