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In order to study the longitudinal vibration characteristics of floating piles in saturated soil, a saturated virtual soil pile model based on Biot's wave theory was proposed, and a coupled longitudinal vibration system of three-dimensional saturated layered soil, virtual soil piles and solid piles was established. The analytical solution of the displacement of saturated soil was derived by potential function method, and the vertical dynamic impedance at the pile head was obtained by using the pile-soil compatibility conditions and the transfer method of impedance function. The validity of the obtained solution was verified by degrading to existing solutions, and parametric analyses were performed to investigate the effects of the parameters of the saturated soil on the vibration characteristics at the pile head. The results show that, when the saturation of soil layers beneath the pile toe is remarkable and the drainage is poor, the saturated virtual soil pile model and the relevant analytical solution is more suitable to analyze the longitudinal vibration characteristics of floating piles. The longitudinal interlayer of surrounding soil has obvious effect on the amplitude of the dynamic impedance at the pile head, but the effect of longitudinal interlayer of soil beneath the pile toe on the dynamic impedance at the pile head can be ignored. The porosity of saturated surface surrounding soil has obvious influence only on the resonance amplitude of the dynamic impedance at the pile head, while the porosity of saturated soil beneath the pile toe has significant effects both on the resonance amplitude and the resonance frequency of the dynamic impedance at the pile head. © 2019, Science Press. All right reserved.
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