DIFFERENT METHODS OF MODELING VIBRATIONS OF PLATES MADE OF FUNCTIONALLY GRADED MATERIALS
Journal Title: ELECTRONIC JOURNAL OF POLISH AGRICULTURAL UNIVERSITIES - Year 2011, Vol 14, Issue 3
Abstract
The subject of this paper are thin plates with a characteristic two-component structure: periodic in one direction and functionally variable in the second. This provides a gradient microstructure of the material properties of plates in the macro scale. The work is analyzed self-vibrations of this type of composites. Modeling was made using three independent methods. The results obtained are summarized and compared in terms of accuracy and effort calculations. For comparison and evaluation of modeling methods were selected as follows: - tolerant approximation technique proposed and described in the monograph [5], which was applied to this kind of plates for mechanical problems in [2][3][4] and for heat conduction problems in [1], - finite element method, implemented with commercial computer program, - heuristic method, which consisted of a simple, consistent with engineering intuition, averaged mechanical properties of the plate in one direction and bringing the problem to the problem of vibration of one-dimensional beams with variable cross-section. The general results are illustrated by the analysis of a specific problem with different kind of boundary conditions plate band.
Authors and Affiliations
A. Wirowski
Keywords
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