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2 Vibrations in Physical Systems

2 2014

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Vibrations of thin functionally graded plates with tolerance-periodic microstructure

100%

Kaźmierczak-Sobińska M. , Jędrysiak J.

tom Vol. 26

99--104

This paper presents a problem of vibrations of thin functionally graded plates. To describe this kind of plates three averaged models are proposed: a tolerance model, an asymptotic model and a combined asymptotictolerance model, cf. [10]. Calculational results obtained for a functionally graded plate band using the proposed models are compared to each other.

Free vibrations of thin microstructured plates

100%

Jędrysiak J. , Pazera E.

tom Vol. 26

93--98

In this paper it is presented a problem of free vibrations of thin microstructured plates, which can be treated as made of functionally graded material on the macrolevel. The size of the microstructure of the plates is of an order of the plate thickness. In order to obtain averaged governing equations of these plates the tolerance modelling technique is applied, cf. [14, 15, 7]. The derived tolerance model equations have the terms dependent of the microstructure size. Hence, the tolerance model describes the effect of the microstructure size. In order to evaluate results, the asymptotic model is introduced. Obtained results can be compared to those calculated by using the finite element method.