Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates

Abstract

The article presents non-axisymmetric free vibration results of porous bi-directional functionally graded (BDFG) plates. The bi-directional grading index changes with the thickness (z-) and radial (r-) directions and porosity distributions are classified as uniform or non-uniform type. A displacement field model is formulated based on First-order Shear Deformation Theory (FSDT). Hamilton’s principle is used to develop the governing equations for porous BDFG plates. The spatial discretization of the proposed mathematical model in five variables is carried out using the fast converging Differential Quadrature Method (DQM). The numerous examples demonstrate the accuracy and stability of the present DQM model by comparing the reported results available in the literature. The influence of aspect ratios, boundary conditions, and porosity distributions on the free vibration response of porous bi-directional functionally graded material plates is investigated intensively. These findings reveal that increasing the porosity volume fraction significantly impacts the mechanical properties of porous bi-directional functionally graded plates.

Keywords

• porous bi-directional functionally graded materials
• vibration
• circular/annular plates
• non-axisymmetric
• dqm