Dynamic responses of saturated functionally graded porous plates resting on elastic foundation and subjected to a moving mass using pb2-Ritz method

Abstract

This work analyzes the dynamic responses of plates with an elastic foundation under a concentrated moving mass. The plate is made of fluid-saturated functionally graded porous material (FFGPM). The material properties of the FFGPM plate are assumed to vary smoothly across the thickness, with symmetric, asymmetric, and uniform patterns for porosity distribution. The governing equations of the FFGPM plate are developed using Reddy’s third-order shear deformation plate theory (Reddy’s TSDT), Biot’s poroelasticity theory, pb2-Ritz formulation, and the Lagrange equation. In the numerical results, the Newmark scheme is used to obtain the deflection response of the FFGPM plate with the traveling mass. Two approaches are considered and discussed, including moving load and moving mass. Moreover, the influences of the porosity coefficient, distribution patterns, different boundary conditions, elastic foundations, geometry parameters, Skempton coefficient, moving mass velocity, and the mass of moving mass on the dynamic characteristics of the FFGPM plate are studied.