Static bending analysis of thin circular plates of FGM on a Pasternak elastic foundation by Differential Transform Method

Document Type : full paper

Authors

• Ahmad talebi ¹
• Somaye Abasi ²

¹ Mechanical Department-Faculty-Islamic Azad University Dehaghan Branch

² MSc Student, Faculty of Mechanical Engineering, Islamic Azad University, Khomeini Shahr Branch, Isfahan, Iran

Abstract

In this study, static analysis of functionally graded plates on the Pasternak elastic foundation has been investigated by differential transformation DT. That's a new work. And not seen in other art-icles. Differential transform method (DTM) is a semi-analytic-numerical method. The main purpose is to demonstrate the ability of the DT method to solve the governing equations and to check the accuracy of the results of this method. In this analysis, the changes in the metal properties in the thickness of the FGM plates are expressed by power distribution law. Results from analysis of cir-cular hemorrhages FGM plates with uniformly loading on a two-dimensional elastic foundation is obtained for different boundary conditions and metal properties and variable foundation rigidity. These results are compared with the works done by others in this field and exhibit the high accuracy and precision in the DTM method to solve these equations

Keywords

• Elastic foundation
• Pasternak model
• DTM
• functional plates

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