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Tolerance modelling of vibrations of thin functionally graded plates
Abstract A problem of a modelling of vibrations of thin plates with a functionally graded macrostructure and a tolerance-periodic microstructure in planes parallel to the plate midplane is analysed. The proposed model, based on the Kirchhoff plate theory assumptions and additional hypothesis of the tolerance averaging technique [Woźniak et al., editors. Thermomechanics of heterogeneous solids and structures. Tolerance averaging approach. łódź, University Press, Technical University of łódź; 2008], describes the effect of the microstructure size on dynamic behaviour of the plate. In this paper, as an example there are analysed free vibration frequencies of a functionally graded plate band. These frequencies are obtained in the framework of two proposed models—the tolerance model and the asymptotic model, using the known Ritz method.
Tolerance modelling of vibrations of thin functionally graded plates
Abstract A problem of a modelling of vibrations of thin plates with a functionally graded macrostructure and a tolerance-periodic microstructure in planes parallel to the plate midplane is analysed. The proposed model, based on the Kirchhoff plate theory assumptions and additional hypothesis of the tolerance averaging technique [Woźniak et al., editors. Thermomechanics of heterogeneous solids and structures. Tolerance averaging approach. łódź, University Press, Technical University of łódź; 2008], describes the effect of the microstructure size on dynamic behaviour of the plate. In this paper, as an example there are analysed free vibration frequencies of a functionally graded plate band. These frequencies are obtained in the framework of two proposed models—the tolerance model and the asymptotic model, using the known Ritz method.
Tolerance modelling of vibrations of thin functionally graded plates
Kaźmierczak, Magda (author) / Jędrysiak, JarosŁaw (author)
Thin-Walled Structures ; 49 ; 1295-1303
2011-05-05
9 pages
Article (Journal)
Electronic Resource
English
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