A Mixed DQ-Newmark Method for Dynamic Response and Stress Analysis of Porous FG Rectangular Plates under Moving Load

Abstract

In this paper, the stress analysis and dynamic behavior of porous functionally graded rectangular plates under moving concentrated load when supported on the Winkler-Pasternak model of elastic foundations are considered. The mechanical properties of functionally graded plates, such as their elasticity modulus and density, are varied in accordance with the power law, while the constant Poisson's ratio is taken into consideration, and porosity is assumed to be classified into two categories: evenly and unevenly distributed. On the basis of first-order shear deformation theory and Hamilton's principle, the theoretical equations of motion and boundary conditions are obtained. The concepts of change of variables, as well as the implementation of the generalized differential quadrature method and the Newmark procedure, have all been used to achieve dimensionless discrete equations. The effects of the volume fraction index, the velocity of the load, the porosity volume fraction and distribution pattern, the boundary conditions, the modulus of the Winkler foundation, and the Pasternak shear layer foundations' stiffness on the displacements and stresses of plates have been investigated.