Abstract
Modeling surrounding soil as a three-dimensional axisymmetric continuum and considering its wave effect, soil-pile dynamic longitudinal interaction in viscous layered soils is studied. The pile is assumed to be vertical, elastic and of uniform section, and the soil is layered and visco-elastic. Longitudinal vibration of pile in viscous damping layered soils undergoing arbitrary load is theoretically investigated. By taking the Laplace transform, the question can be solved in frequency domain. Utilizing two potentials combined with impedance transfer functions, analytical solutions for both the impedance function and mobility at the pile head in frequency domain are yielded. With the convolution theorem and inverse Fourier transform, a semi-analytical solution of velocity response in time-domain undergoing a half-cycle sine pulse force is derived. Based on the solutions proposed herein, the effects of variety of soil modulus on mobility curves and reflection wave curves are emphatically discussed. The results shows that there is a smaller peak between every two adjacent larger peaks on the mobility curve in layered soil, and larger peak cycle reflects the location where the modulus of the soil varies abruptly. The conclusions can provide theoretical guidance for non-destruction test of piles.
Highlights
Dynamic non-destruction test method based on the pile vibration theory is widely used to identify pile integrity in civil engineering
Many soil-pile dynamic interaction models have been developed to simulate the behavior of longitudinal vibration of pile
From the view point of different model of the surrounding soil, they can be put into two categories, that is, Winkler model [1,2,3,4,5,6,7] and continuum model [8,9,10,11,12,13]
Summary
Dynamic non-destruction test method based on the pile vibration theory is widely used to identify pile integrity in civil engineering. In Plain-Strain model, it is assumed that the gradient of strain and stress in the vertical direction is zero and the waves propagate only horizontally. Such assumption does not match well with reality. The second kind of continuum model [12, 13] takes the gradient of stress of the surrounding soil in vertical direction into account and can consider the wave effect of the surrounding soil. The purpose of this paper is to derive an analytical solution for longitudinal vibration of pile subjected to harmonic longitudinal excitation in layered soils by taking the axisymmetric wave effect of the surrounding soil into account. Utilizing the solution derived the effects of various soil parameters on the longitudinal vibration of pile are discussed
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