This 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 beamsaturated 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.
This paper aims to investigate the dynamic behaviour of continuously reinforced concrete pavement (CRCP) on a multi‐layered transversely isotropic saturated subgrade subjected to a moving load. The stress‐strain relationship of the CRCP is obtained based on classic lamination theory. Then, the differential governing equations of the pavement are established by D'Alembert's principle. Combining the Fourier series expansion and integral transform technique, the displacements of the CRCP in the wavenumber domain are derived. By introducing pavement‐subgrade interface conditions, the solution to the pavement‐subgrade system is acquired with the use of the extended precise integration method (PIM). The solution in the spatial domain is further obtained by the numerical inverse transform. The presented method and the corresponding program are verified. Finally, parametric studies are conducted to determine the effects of the reinforcement ratio and position, the load velocity and the subgrade stiffness.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.