Dynamics of thin periodic plates resting on a periodically inhomogeneous Winkler foundation |
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Authors: | J J?drysiak |
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Institution: | (1) Department of Structural Mechanics, University of Technology, Łódź, Al. Politechniki 6, PL-93-590 Łódź, Poland, PL |
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Abstract: | 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.
Received 14 July 1998; accepted for publication 7 January 1999 |
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Keywords: | periodic plate Winkler foundation length-scale effect |
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