Free vibration analysis of a porous functionally graded beam using higher-order shear deformation theory

This study considers free vibration analysis of a porous functionally graded (FG) beam using a higher-order shear deformation theory (HSDT). The change in the material properties is described by a power law. The porosity distribution functions, one for even cases and two for uneven cases, are considered in the problem. The governing equations are derived utilizing Lagrange’s principle. The solution to the problem is carried out using FEM with a three-node and 12-DOF element. Dimensionless natural frequencies obtained in the present study are compared to those reported in four studies from the literature for validation purposes. The effect of material properties, porosity, and boundary conditions on the dimensionless neutral frequencies and mode shapes are investigated with the help of a parametric study.