Journal
APPLIED MATHEMATICAL MODELLING
Volume 122, Issue -, Pages 761-779Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2023.06.010
Keywords
Layered saturated media; Laplace-Hankel transform; Analytical layer element; Non-axisymmetric transient loadings; Horizontal circular loads
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This paper derives an analytical layer-element solution for layered saturated porous media under non-axisymmetric horizontal transient loadings. The solution is obtained by combining each single layer element and utilizing integral transform inversions. Numerical examples are conducted to validate the proposed method and program, and to investigate the effects of load conditions and media parameters on the dynamic response of multilayered poroelastic media under horizontal transient circular loads.
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. & COPY; 2023 Elsevier Inc. All rights reserved.
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