Dynamic analysis of an infinite beam resting on layered transversely isotropic saturated media subjected to moving harmonic loads

Abstract

AbstractThis paper investigates the dynamic behavior of an infinite beam on layered transversely isotropic (TI) poroelastic media due to moving harmonic loads. Based on the Euler‒Bernoulli beam theory and Biot theory, the governing equations of the beam and the layered TI poroelastic media are established. By introducing the compatibility conditions at the beam‐subgrade interface, the equivalent stiffness of the layered TI saturated media is derived via the extended precise integration method (PIM) in the wavenumber domain. By means of the inverse Fourier transform algorithm, the physical solutions for the beam‐saturated soil system are obtained after introducing the equivalent stiffness. Then, the accuracy of the proposed method is verified. Several numerical examples are presented to discuss the influences of the moving speed, beam bending rigidity, stratification, and soil anisotropy on the dynamic behavior of beams.