%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