Abstract
More and more huge embedded foundations are used in large-span bridges, such as caisson foundations and anchorage open caisson foundations. Most of the embedded foundations are undergoing horizontal vibration forces, that is, wind and wave forces or other types of dynamic forces. The embedded foundations are regarded as rigid due to its high stiffness and small deformation during the forcing process. The performance of a rigid, massive, cylindrical foundation embedded in a poroelastic half-space is investigated by an analytical method developed in this paper. The mixed boundary problem is solved by reducing the dual integral equations to a pair of Fredholm integral equations of the second kind. The numerical results are compared with existing solutions in order to assess the accuracy of the presented method. To further demonstrate the applicability of this method, parametric studies are performed to evaluate the dynamic response of the embedded foundation under horizontal vibration. The horizontal dynamic impedance and response factor of the embedded foundation are examined based on different embedment ratio, foundation mass ratio, relative stiffness, and poroelastic material properties versus nondimensional frequency. The results of this study can be adapted to investigate the horizontal vibration responses of a foundation embedded in poroelastic half-space.
Highlights
The analytical solution of the dynamic response of surface foundation in a poroelastic medium under horizontal, vertical, and torsional vibration is widely studied by many researchers [1,2,3].Generally, the foundation is embedded in a certain depth and the horizontal force from wind, earthquake ground motion, and mechanical vibrations that governs the dynamic response of embedded foundations
The solutions of the dynamic response of embedded foundation under horizontal vibration are programmed by Matlab code
The real and imaginary part of nondimensional horizontal dynamic impedance can degenrate to the side, and bottom vibration of an embedded foundation which can be found by different combinations of L/R, the radius of the foundation is selected as a unit of length R
Summary
The analytical solution of the dynamic response of surface foundation in a poroelastic medium under horizontal, vertical, and torsional vibration is widely studied by many researchers [1,2,3].Generally, the foundation is embedded in a certain depth and the horizontal force from wind, earthquake ground motion, and mechanical vibrations that governs the dynamic response of embedded foundations. The analytical solution of the dynamic response of surface foundation in a poroelastic medium under horizontal, vertical, and torsional vibration is widely studied by many researchers [1,2,3]. A great deal of research has been done in order to study the dynamic response of surface foundation under horizontal vibration. That is, the finite element method and boundary element method were employed in order to investigate the dynamic response of embedded footings. Ahmad et al [5] presented an extensive investigation on the horizontal impedance of square footing in layered soil using a boundary element method. Wang and Rajapakse [6] studied the dynamic response of rigid strip footing foundations using the indirect boundary integral equation method. The soil is treated as a single-phase linear elastic material in most of the existing studies
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