Frequency Analysis of FG-GNPs Reinforced Metal Foam Nanocomposite Sector Plates via GDQM

Due to wide range of applications of metal foams in different areas of technologies and since they have two important features including low specific weight and good stiffness, they are attracted the scientists and researchers to themselves. Adding nanofillers as reinforcement to metal foams makes them stiffer while keeping their lightweight. Graphene nanoplatelets (GNPs) are recently known as the best nanofillers due to their exciting features such as high Young’s modulus and extremely high thermal conductivity. In the present article, free vibration analysis of a functionally graded GNPs reinforced metal foam nanocomposite sector plate located on elastic foundation is provided. The GNPs reinforcement and also porous matrix properties are functionally graded along with the plate’s thickness. The Gaussian random field (GRF) scheme for closed-cell cellular solids is considered for the porous matrix properties. The governing differential equations are derived using energy method and variational approach. The equations are solved using the generalized differential quadrature (GDQ) scheme for various boundary conditions and then, influence of the prominent parameters on the results is considered.

Keywords:

Sector Plate , Metal Foams , Graphene Nanoplatelets , Nanocomposites , Generalized Differential Quadrature Method.