%0 Journal Article
%T A Differential Transform Approach for Modal Analysis of Variable Thickness Two-directional FGM Circular Plates on Elastic Foundations
%J Iranian Journal of Mechanical Engineering Transactions of the ISME
%I Iranian Society of Mechanical Engineering
%Z 1605-9727
%A Shariyat, M.
%A Alipour, M. M.
%D 2010
%\ 09/01/2010
%V 11
%N 2
%P 15-38
%! A Differential Transform Approach for Modal Analysis of Variable Thickness Two-directional FGM Circular Plates on Elastic Foundations
%K Differential transform
%K Vibration
%K modal stress
%K Circular plate
%K two-directional functionally graded materials
%K Elastic foundation
%R
%X Based on the differential transformation method, a semi-analytical solution is developed for free vibration and modal stress analyses of variable thickness two-directional functionally graded circular plates with restrained edges, resting on elastic foundations. Variations of the material and geometry parameters are monitored by five distinct exponential functions. The presented non-dimensional solution covers complex combinations of the material properties, edge conditions, and parameters of the elastic foundation. Results reveal that by a proper adoption of the distribution of the material properties, a somewhat uniform strength may be attained for the cross sections without the need to change the geometric parameters of the plate.
%U https://jmee.isme.ir/article_20566_857c29d2aa67ecd3e49bdaf1ca57cf5a.pdf