INVESTIGATION OF FREE VIBRATION OF FGP PLATES PARTIALLY SUPPORTED BY ELASTIC FOUNDATION USING FINITE ELEMENT METHOD

Abstract

The main goal of this article is to use a finite element method (FEM) based
on Mindlin plate theory for analyzing the free vibration of the functionally
graded porous (FGP) plate partially supported by elastic foundation (EF). The
EF is Pasternak foundation model includes spring stiffness (k1) and shear layer
stiffness (k2). The FGP materials with two-parameter are the power-law index
(k) and the porosity volume fraction (ξ) in two cases of even and uneven
porosity. Some numerical results in our work are compared with other
published to verify accuracy and reliability. Moreover, the effect of the elastic
foundation on the free vibration of FGP plates is also fully investigated.