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Scattering of vertically-incident P-waves by an embedded pile
Authors:Feng Ji  Ronald YS Pak
Institution:Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, CO 80309-0428, USA
Abstract:An exact theoretical formulation is presented for the analysis of a thin-walled pile embedded in an elastic half-space under vertically-incident P-wave excitation. In the framework of three-dimensional elastodynamics and a shell theory, the axisymmetrical wave-scattering problem is shown to be reducible to a set of Fredholm boundary integral equations. With the incorporation of the singular characteristics of the wave-induced contact load distributions into the solution scheme, a computational boundary element method is developed for a rigorous treatment of the seismic soil-structure interaction problem. Typical results for the dynamic contact load distributions, displacements, complex-valued foundation input motion functions, and resonant pile foundation response are included for direct engineering applications.
Keywords:soil-structure interaction  scattering  input-motion function  pile foundation  load-transfer  foundation dynamics  seismic loading  boundary element  mixed boundary value problem singularity
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