Summary
The aim of the paper is to investigate the dynamic response of thin elastic plates having periodic substructure in planes parallel to the plates midplane and interacting with a Winkler foundation. The main goal of the analysis is to describe the effect of substructure size on the plates dynamics. For this purpose, the method proposed in [4, 5] is used. Two special cases are analysed: a plate band with a constant thickness interacting with a periodically inhomogeneous Winkler foundation, and a plate band with a periodically variable thickness interacting with a homogeneous Winkler foundation. The physical correctness conditions of the model are also discussed.
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Received 14 July 1998; accepted for publication 7 January 1999
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Jędrysiak, J. Dynamics of thin periodic plates resting on a periodically inhomogeneous Winkler foundation. Archive of Applied Mechanics 69, 345–356 (1999). https://doi.org/10.1007/s004190050225
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DOI: https://doi.org/10.1007/s004190050225