In this study, the stress analysis of rectangular plates resting on Winkler Pasternak model of elastic foundations under a movingconcentrated load with constant velocity and the impact of parameters related to the elastic foundations on normal stresses areinvestigated. The strain components are assumed to be linear and the Poisson’s ratio is kept constant. Based on first order sheardeformation theory (FSDT) and by employing Hamilton’s principle, the theoretical equations of motion and boundary conditionsare derived. Dimensionless discrete equations and boundary conditions have been achieved by using two dimensional generalizeddifferential quadrature method (DQM) and Newmark procedure. The convergence and accuracy of the present formulation andmethod of the solution, where possible, are demonstrated by comparing with the work of other investigators. With these results,the effect of Winkler foundation modulus and stiffness of Pasternak shear layer foundations on normal stresses of plates havebeen investigated. The analysis provides for both simply supported and clamped boundary conditions at edges. It is discoveredthat the Pasternak shear layer has a predominant influence over Winkler elastic modulus on the plates. Manuscript profile

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In this paper, vibration behaviors of functionally graded rectangular plates with porosity under a moving concentrated load are considered. Mechanical properties such as elasticity modulus and density of functionally graded (FG) plates are varied as power-law, while Poisson’s ratio is kept constant and porosity as two types of evenly distribution (porosity-I) and unevenly distribution (porosity-II) is assumed. Based on first order shear deformation theory (FSDT) and by employing Hamilton’s principle, the theoretical equations of motion and boundary conditions are derived. Dimensionless discrete equations have been achieved by using generalized differential quadrature method and Newmark procedure. The convergence and accuracy of the 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 is discovered that the volume fraction index has a significant effect on the deflection of the plates and the porosity volume fraction influences more significantly on deflection of porous FG plates in porosity-I than in porosity-II. Manuscript profile

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