Vertical dynamic response of an inhomogeneous viscoelastic pile

Wang, Kuihua; Wu, Wenbing; Zhang, Zhiqing; Leo, Chin Jian

doi:10.1016/j.compgeo.2010.03.001

Cited by 115 publications

(41 citation statements)

References 19 publications

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“…In addition, the pile shaft is assumed perfectly bonded to its surrounding soil. To introduce the stiffness of the pile in the solution, we model it as a 1D cylindrical elastic rod [1][2][3][4][5][6]. This is a reasonable approximation for slender piles (H/R⪢1) subjected to a harmonic vertical force Pe iωt .…”

Section: Formulation Of the Governing Equations Of The Problemmentioning

confidence: 99%

“…Several analytical models have been developed in the literature to quantify soil-pile interactions for piles subjected to dynamic loads, with the most widely used ones being the Winkler model [1,2], the continuum model [3,4] and the virtual pile model [5,6]. The soil resistance in Winkler model is simulated by means of a series of linear springs and dashpots.…”

Section: Introductionmentioning

confidence: 99%

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Vertical vibration of an elastic pile embedded in poroelastic soil

Zheng

Kouretzis

Sloan

et al. 2015

Soil Dynamics and Earthquake Engineering

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Section: Formulation Of the Governing Equations Of The Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vertical vibration of an elastic pile embedded in poroelastic soil

Zheng

Kouretzis

Sloan

et al. 2015

Soil Dynamics and Earthquake Engineering

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“…Then, following the basic idea of the impedance function transfer method , the displacement impedance function at the top of the j th pipe pile segment is derived as

\begin{matrix} left \\ Z_{j}^{normalp} |_{z = h_{j}} = \frac{- [E_{j}^{normalp} A^{normalp} \frac{\partial U_{j}^{normalp} (z, s)}{\partial z} + δ_{j}^{normalp} A^{normalp} \frac{\partial U_{j}^{normalp} (z, s)}{\partial z}] |_{z = h_{j}}}{U_{j}^{normalp} (z, s) |_{z = h_{j}}} \\ = - \frac{ρ_{j}^{normalp} A^{normalp} V_{j}^{normalp}}{t_{j}} (1 + \frac{δ_{j}^{p}}{E_{j}^{p}} s) {\overset{ξ}{true}}_{j}^{normalp} tan ({\overset{ξ}{true}}_{j}^{normalp} - θ_{j}^{normalp}) \end{matrix}

where

θ_{j}^{p} = arctan \frac{Z_{j - 1}^{p} t_{j}}{ρ_{j}^{p} A^{p} V_{j}^{p} {\overset{truê}{ξ}}_{j}^{p} ((),, 1 + \frac{δ_{j}^{normalp}}{E_{j}^{normalp}} s)}

Z_{j - 1}^{p}

is the displacement impedance function at the top of the ( j − 1)th pipe pile segment, which can be obtained by employing boundary conditions.…”

Section: Governing Equations and Their Solutionsmentioning

confidence: 99%

A new analytical model to study the influence of weld on the vertical dynamic response of prestressed pipe pile

Jiang

Huang

et al. 2017

Num Anal Meth Geomechanics

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Summary This investigation is concerned with the mathematical analysis of a viscoelastic prestressed pipe pile embedded in multilayered soil under vertical dynamic excitation. The pile surrounding soil is governed by the plane strain model, and the soil plug is assumed to be an additional mass connected to the pipe pile shaft by applying the distributed Voigt model. Meanwhile, the prestressed pipe pile is assumed to be a vertical, viscoelastic, and hollow cylinder governed by the one‐dimensional wave equation. Then, analytical solutions of the dynamic response of the pipe pile in the frequency domain are derived by means of the Laplace transform and impedance function transfer method. Subsequently, the corresponding quasi‐analytical solution in the time domain for the case of the prestressed pipe pile undergoing a vertical semi‐sinusoidal exciting force applied at the pile top is obtained by employing the inverse Fourier transform. Utilizing these solutions, selected results for the velocity admittance curve and the reflected wave curve are presented for different heights of the soil plug to examine the influence of weld properties on the vertical dynamic response of prestressed pipe pile. The reasonableness of the theoretical model is verified by comparing the calculated results based on the presented solutions with measured results. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Such a simplified model is not sufficiently accurate unless the pile is end bearing. In the second approach, it is assumed to be elastic boundary (modeled by a linear spring) (Wang et al 2001(Wang et al , 2008(Wang et al , 2009 or viscoelastic boundary (modeled by a linear spring and a dashpot connected in parallel) (Novak & Beredugo, 1972;Liao & Roesset, 1997a, 1997bRandolph et al, 1986Randolph et al, , 1992Wang et al, 2010). Although these methods are amenable to practical application in pile nondestructive testing, the parameters of spring and dashpot can not be obtained by associating with those of the pile end soil.…”

Section: Introductionmentioning

confidence: 99%

A New Model for the Dynamic Interaction of a Pile and Pile End Soil

Wu¹,

Huang²,

Ma³

et al. 2014

Icptt 2014

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Allowing for the shortcomings of the existing dynamic interaction models of pile and pile end soil, this paper presented a new model to simulate the dynamic interaction of pile and pile end soil, namely, fictitious soil pile model. At first, finite soil layers below pile end are modeled as fictitious soil pile whose cross-section area is the same as that of the pile. Meanwhile, the surrounding soil layers of pile are modeled by using plane strain model. Then, the semi-analytical solution of longitudinal dynamic response at the pile head in time domain is derived by means of Laplace transform and impedance function transfer method. Based on this solution, a parametric study is conducted to study the influence of parameters of soil below pile end on the longitudinal dynamic response at the pile head.

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Vertical dynamic response of an inhomogeneous viscoelastic pile

Cited by 115 publications

References 19 publications

Vertical vibration of an elastic pile embedded in poroelastic soil

Vertical vibration of an elastic pile embedded in poroelastic soil

A new analytical model to study the influence of weld on the vertical dynamic response of prestressed pipe pile

A New Model for the Dynamic Interaction of a Pile and Pile End Soil

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