On the role of shear deformation in dynamic behavior of a fully saturated poroelastic beam traversed by a moving load

• Shear effect on vibration of a poroelastic beam under a moving load is of concern.
• Using Euler and Timoshenko beam models and Biot׳s theory, the problem is studied.
• Dynamic pore pressure and deflection fields are obtained using Laplace transform.
• Roles of permeability, velocity, and slenderness ratio in vibrations are addressed.
• The shear effect becomes important for deep beams acted upon by high-speed loads.

Dynamic response of poroelastic beams acted upon by a moving point load accounting for shear deformation is of concern. The porous medium is fully saturated and only longitudinal diffusion is allowed. To this end, based on the Biot׳s consolidation theory and Timoshenko beam model, the transverse equations of motion of the poroelastic beam-like structures are derived. For simply supported beam-like structures, the explicit expressions of the transverse displacement and pore pressure are obtained. The effects of length to thickness ratio, moving load velocity, permeability coefficient, and fluid viscosity on the maximum dynamic response are comprehensively examined. The roles of the crucial factors on the discrepancies between the predicted results by the Euler–Bernoulli beam theory and those of the Timoshenko beam theory are also displayed and discussed. The obtained results display the importance of the shear deformation for deep poroelastic beams acted upon by the moving loads with high velocities.