Abstract

A new mathematical model of a floating pile embedded in a viscoelastic saturated soil for low-strain integrity detection is proposed using the theory of porous media. The saturated surrounding soil is divided into Novak’s thin layers along the pile length and a homogeneous half-space underlying the pile base to consider the effect of excitation frequency on the dynamic stiffness of the soil beneath the pile base. And the corresponding analytical solutions for the dynamic impedance and the reflected wave signal of vertical velocity at the pile head are derived and verified by comparing its reduced solution with the existing solutions for the end-bearing pile. In addition, an extensive parametric analysis is further conducted to investigate the effects of the slenderness ratio of pile, the modulus ratio of pile to the surrounding soil, and the permeability coefficient of saturated soil on the vertical vibration characteristics of the pile–soil interaction system.

Highlights

  • Problems related to the vertical steady-state vibration of floating pile in the soil layer have attracted increasing attention due to their significance in the field of civil engineering and solid mechanics.[1,2,3,4] For the vibration problem of the pile–soil system, it is generally important to determine the dynamic impedance and the velocity response subjected to harmonic load at the pile head which can provide theoretical reference to the integrity detection of pile in practice.In the dynamic system of pile–soil interaction, various mathematical models have been developed by investigators.[5]

  • The resonance frequencies are almost unchanged and the oscillation amplitudes of the dynamic impedance at resonance frequencies slightly decrease with the increase of the permeability coefficient within the high-frequency range

  • Based on the theory of porous media (TPM), a new mathematical model of a floating pile embedded in a viscoelastic saturated soil under vertical time-harmonic load is proposed for the evaluation of low-strain integrity detection

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Summary

Introduction

Problems related to the vertical steady-state vibration of floating pile in the soil layer have attracted increasing attention due to their significance in the field of civil engineering and solid mechanics.[1,2,3,4] For the vibration problem of the pile–soil system, it is generally important to determine the dynamic impedance and the velocity response subjected to harmonic load at the pile head which can provide theoretical reference to the integrity detection of pile in practice.In the dynamic system of pile–soil interaction, various mathematical models have been developed by investigators.[5]. Problems related to the vertical steady-state vibration of floating pile in the soil layer have attracted increasing attention due to their significance in the field of civil engineering and solid mechanics.[1,2,3,4] For the vibration problem of the pile–soil system, it is generally important to determine the dynamic impedance and the velocity response subjected to harmonic load at the pile head which can provide theoretical reference to the integrity detection of pile in practice. Manna and Baidya[15] investigated the possible reasons for the unsatisfactory performance of the Novak model.

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