Dynamic interaction between the infinite beam and the the saturated poro-elastic soil foundation due to moving loads

For a saturated soil, a saturated poro-elastic model is more realistic than the linear elastic or the viscoelastic one. Based on the Fourier transform method in the frequency wave number domain, the expression of the equivalent stiffness of the saturated poro-elastic half space interacting with an infinite beam to harmonic moving loads is obtained. The time domain solutions for the beam and the saturated poro-elastic half space are derived by means of the inverse Fourier transform method. Also, the influences of the load speed, frequency and material parameters of the poroelastic half space on the responses of the beam are investigated. Numerical results show that the frequency corresponding to the maximum deflection and bending moment increases with increasing load speed. Also, the values of the maximum bending moment increases up to the critical speed. The load frequency corresponding to the maximum bending moment depends on the value of the load speed. With increasing load speed, spacing between frequencies increases. Keywordsmoving loads, saturated poro-elastic half space, Biot’s theory, infinite beam, Fourier transform method