forced vibration analysis of functionally graded rectangular plates with porosities under a moving load

In this paper, vibration behaviors of functionally graded rectangular plates with porosity under a movingconcentrated load are considered. mechanical properties such as elasticity modulus and density offunctionally graded (fg) plates are varied as power-law, while poisson’s ratio is kept constant and porosityas two types of evenly distribution (porosity-i) and unevenly distribution (porosity-ii) is assumed. based onfirst order shear deformation theory (fsdt) and by employing hamilton’s principle, the theoretical equationsof motion and boundary conditions are derived. dimensionless discrete equations have been achieved byusing generalized differential quadrature method and newmark procedure. the convergence and accuracy ofthe present formulation and method of the solution are demonstrated. the effect of volume fraction index,porosity volume fraction and distribution pattern on displacements of plates have been investigated. it isdiscovered that the volume fraction index has a significant effect on the deflection of the plates and theporosity volume fraction influences more significantly on deflection of porous fg plates in porosity-i than inporosity-ii.