In this contribution there are considered thin periodic plates. The tolerance averaging method, cf. [12, 13, 4], is applied to model problems of vibrations of these plates. Hence, the effect of the microstructure size is taken into account in model equations of the tolerance model. Calculations are made for periodic plate bands using this model and the asymptotic model for various boundary conditions.
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In this note there are considered three-layered plates with periodic structure. These plates consist of many small elements, called periodicity cells. The size of the cell is assumed to determine the microstructure parameter. In this paper the tolerance modeling is applied to derive governing equations with constant coefficients, which take into account the effect of the microstructure size.
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