an exact solution to the problems of flexo-poroelastic structures rested on elastic beds acted upon by moving loads

This paper aims to examine flexural vibrations of fully saturated poroelastic structureson an elastic bed subjected to moving point loads via an analytical solution. using aflexural beam model in conjunction with the biot’s poroelasticity theory, the equationsof motion of the porous structure are derived. using assumed mode method and laplacetransform, the explicit expressions of displacement and pore pressure are obtained carefully.for a particular case, the predicted results are also compared with those of another workand a reasonably good agreement is achieved. the influences of the moving load velocity,permeability ratio, transverse stiffness of the foundation, viscosity of the pore fluid, andporosity on the maximum elasto-dynamic fields and pore pressure are conclusively discussed. the velocity pertinent to the maximum possible dynamic response is graphically determinedand the roles of influential parameters on this crucial factor are displayed. the present modelcould be easily extended to multi-layered poroelastic structures under moving loads.