This paper presents an analytical method for calculating the dynamic impedance of pile groups comprising an arbitrary number of cylindrical piles connected with a rigid cap. The solution allows consideration of ground waves due to pile vibration that propagate along both the horizontal and vertical planes, as well as the effect of the actual pile section geometry on the reaction from the surrounding soil. For that, we introduce a dynamic pile–soil–pile interaction factor that is defined on the basis of soil reaction developing on receiver piles, instead of the classical displacement-based interaction factor used in past studies. Despite the fact that the solution is applicable to problems where low-to-moderate soil strains are expected to develop, it poses as an attractive, efficient alternative to numerical methods for the analysis of very large pile groups.
This paper presents a method for the seismic analysis of open-ended pipe piles subjected to vertically propagating S-waves, that considers kinematic interaction between the pipe pile and its external and internal soil. Following the presentation of the elastodynamic continuum model, which is based on the assumptions of linear elastic soil response and uniform soil conditions, we employ the derived solution to investigate the sensitivity of the seismic response of pipe piles to certain key problem parameters, such as pile slenderness or the relative stiffness of the pipe pile compared to its surrounding soil. We demonstrate that the bending stiffness of pipe piles is governing their seismic response, and that thin-walled pipe piles offer the best material usage versus seismic performance ratio. The presented solution offers a low-cost alternative to complex numerical simulations for preliminary seismic design purposes, such as the selection of optimal pipe pile section geometry.
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