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Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation

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 The aim of this contribution is to formulate an engineering theory describing the effect of periodic structure of the elastic foundation on the dynamic behaviour of a plate with geometrical periodical imperfections, Fig. 1. It is shown that the obtained solutions depend on the structure length parameter l of the elastic foundation and the wave length of imperfections. The general results are illustrated by an example and compared with the known theories of orthotropic plates.

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Authors and Affiliations

  1. Technical University of Łódź, Department of Structural Mechanics, Al. Politechniki 6, PL-93950 Łódź, Poland Fax: 42/313 564, , , , , , PL

    B. Michalak

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  1. B. Michalak
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Received 7 February 1999; accepted for publication 6 October 1999

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Michalak, B. Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation. Archive of Applied Mechanics 70, 508–518 (2000). https://doi.org/10.1007/s004190000081

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  • DOI: https://doi.org/10.1007/s004190000081

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