Analytical layer element solution for layered porous media subjected to non-axisymmetric transient loadings

Abstract

Transient horizontal loads (e.g., seismic, wind, and water waves) have a significant impact on the safety of tall structures and bridges. In this paper, the analytical layer-element solution for layered saturated porous media under non-axisymmetric horizontal transient loadings is derived. Starting from governing equations, the Laplace-Hankel integral transform and Fourier series expansion are used to establish the analytical layer elements of each saturated layer. By introducing the continuity and boundary conditions, the global matrices can be assembled by combining each single layer element. Then, the solution in the physical domain is derived by utilizing integral transform inversions. Finally, we conducted numerical examples to validate the proposed method and program and to investigate the effects of the load conditions and media parameters on the dynamic response of multilayered poroelastic media under horizontal transient circular loads.