Functionally Graded Sandwich Circular Plate of Non-Uniform Varying Thickness with Homogenous Core Resting on Elastic Foundation: Investigation on Bending via Differential Quadrature Method

Fatemeh Farhatnia^1, , Reza Saadat¹ and Soheil Oveissi²

¹Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

²Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Cite this paper:
Fatemeh Farhatnia, Reza Saadat and Soheil Oveissi. Functionally Graded Sandwich Circular Plate of Non-Uniform Varying Thickness with Homogenous Core Resting on Elastic Foundation: Investigation on Bending via Differential Quadrature Method. American Journal of Mechanical Engineering. 2019; 7(2):68-78. doi: 10.12691/ajme-7-2-3

Abstract

This paper illustrates the effectiveness of two functionally graded (FG) layers on a homogenous circular plate for bending analysis. The classical plate theory (CPT) serves as the basis of the analysis. Differential quadrature method (DQM) as semi-analytical method is employed to solve the governing equations. The material properties is varied to obey power-law in terms of the plate thickness direction. The plate is subjected to uniform transverse loading and resting on Winkler elastic foundation. In this study, the effect of the different profile of the plate thickness, elastic foundation coefficient, the volume fraction FG index, and effect of the boundary conditions, namely, simply supported and clamped edge on static response are demonstrated. The results are compared with finite element method and published literature that observed to be in accordance with each other.

Keywords:
static analysis functionally graded circular plate sandwich plate variable thickness differential quadrature method

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