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EN
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.
EN
The objects under consideration are thin visco-elastic periodic plates with moderately large deflections. Geometrically nonlinear vibrations of these plates are investigated. In order to take into account the effect of microstructure size on behaviour of these plates a non- -asymptotic modelling method is proposed. Using this method, called the tolerance modelling, model equations with constant coefficients involving terms dependent on the microstructure size can be derived. In this paper, only theoretical considerations of the problem of nonlinear vibrations of thin visco-elastic periodic plates resting on a foundation with damping are presented.
3
Content available remote Tolerance modeling of three-layered plates with a periodic structure
EN
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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