Available Online: http://www.ejpau.media.pl/volume14/issue3/abs-05.html
DIFFERENT METHODS OF MODELING VIBRATIONS OF PLATES MADE OF FUNCTIONALLY GRADED MATERIALS
Department of Structural Mechanics Technical University of Lodz
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 , which was applied to this kind of plates for mechanical problems in  and for heat conduction problems in ,
- 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.
Key words: Self-vibrations, plate band, functionally graded materials, tolerant averaging technique.
Department of Structural Mechanics
Technical University of Lodz
al. Politechniki 6
90-924, Lodz, Poland
Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.