Vertical vibration of an elastic pile embedded in poroelastic soil

Zheng, Changjie; Kouretzis, George; Sloan, Scott W.; Liu, Hanlong; Ding, Xuanming

doi:10.1016/j.soildyn.2015.05.010

Cited by 35 publications

(9 citation statements)

References 9 publications

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“…Combining equations (24) and (25), the dimensionless frequency response function of velocity at the pile head V 0 can be expressed as…”

Section: Analytical Solution For the Dynamic Impedance Of A Floating mentioning

confidence: 99%

“…Li et al 23 used Biot’s elastodynamic theory as the basis to present an analytical solution for the vertical vibration of an end-bearing pile in a saturated soil layer. Subsequently, Zheng et al 24 presented an analytical method to study the vertical vibration of a floating pile embedded in porous elastic soil using Biot’s theory, in which the saturated elastic soil is divided into two independent parts: a half-space underlying the pile base and a series of Novak’s thin layers along the pile shaft. However, some soil parameters defined in Biot’s theory 18,19 are not clear enough and difficult to determine, which leads to inconvenience for its application in engineering, to some extent.…”

Section: Introductionmentioning

confidence: 99%

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An analytical solution for integrity detection of a floating pile embedded in saturated viscoelastic half-space

Cui

Zhang

Meng

et al. 2018

International Journal of Distributed Sensor Networks

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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.

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“…Combining equations (24) and (25), the dimensionless frequency response function of velocity at the pile head V 0 can be expressed as…”

Section: Analytical Solution For the Dynamic Impedance Of A Floating mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An analytical solution for integrity detection of a floating pile embedded in saturated viscoelastic half-space

Cui

Zhang

Meng

et al. 2018

International Journal of Distributed Sensor Networks

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show abstract

“…Subsequently, various simplified models for pile vibration were proposed to consider the effect of 3D wave propagation within surrounding soil [15,16]. Furthermore, Zheng et al [17], Cai et al [18], Yang et al [19], and Cui et al [20,21] examined the dynamic behavior of foundations (e.g., piles and plates) in a saturated mediu under longitudinal excitation by regarding the soil layer as porous saturated media.…”

Section: Introductionmentioning

confidence: 99%

New Analytical Solutions for Longitudinal Vibration of a Floating Pile in Layered Soils with Radial Heterogeneity

et al. 2020

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Based on the theory of wave propagation in three-dimensional (3D) continuum, a new analytical approach for the longitudinal vibration characteristics of a floating pile in layered soils with radial heterogeneity is developed by employing a viscous-type damping model. Firstly, an analytical solution for the longitudinal complex impedance at the pile head is deduced by employing the Laplace transform and complex stiffness technique with the compatibility conditions of the pile and radially inhomogeneous surrounding soil. Secondly, a semi-analytical solution in the time domain is further acquired by using the inverse Fourier transform method. Furthermore, the corresponding analytical solutions are validated through contrasts with previous solutions. Finally, parametric analyses are underway to investigate the effect of radial heterogeneity of surrounding soils on longitudinal vibration characteristics of floating piles. It is indicated that the proposed approach and corresponding solutions can provide a more wide-ranging application than the simple harmonic vibration for longitudinal vibration analysis of a floating pile in soils.

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“…Nevertheless, the contribution of the soil surrounding the foundation to its dynamic response was ignored in these studies, which focus on foundations resting on the ground surface. More recently, Cai et al, Cai and Hu, Liu et al, and Zheng et al described the use of the plane‐strain model to investigate the dynamic characteristics of axially loaded deep foundations embedded in poroelastic soil. However, the contribution of the pile base resistance to the response is taken into account approximately in these studies, as the pile toe is assumed to be resting on a rigid layer, or on infinite half space.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of an axially loaded pile embedded in elastic‐poroelasitc layered soil of finite thickness

Zheng

Gan

Kouretzis

et al. 2019

Num Anal Meth Geomechanics

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This paper presents an analytical solution for determining the dynamic characteristics of axially loaded piles embedded in elastic-poroelastic layered soil of finite thickness. The interface between the elastic and poroelastic soil coincides with the groundwater table level, which is explicitly taken into account in the solution. The pile is modelled as elastic one-dimensional rod to account for the effect of its dynamic characteristics on the response of the soil-pile system. The solution is based on Biot's poroelastodynamic theory and the classical elastodynamic theory, which we use to establish the governing equations of the soil and pile. Accordingly, the pile base resistance, shaft reaction, and the complex impedance of soil-pile system are obtained using the method of Hankel integral transformation. Following the validation of the derived solution, we identify the main parameters affecting the vertical dynamic impedance of the pile via a parametric study. The presented method poses as an efficient alternative for quickly estimating the dynamic characteristics of axially loaded piles, without having to resort to complex numerical analyses. K E Y W O R D Selastic pile, elastic soil, impedance, poroelastic soil, vertical vibration

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Vertical vibration of an elastic pile embedded in poroelastic soil

Cited by 35 publications

References 9 publications

An analytical solution for integrity detection of a floating pile embedded in saturated viscoelastic half-space

An analytical solution for integrity detection of a floating pile embedded in saturated viscoelastic half-space

New Analytical Solutions for Longitudinal Vibration of a Floating Pile in Layered Soils with Radial Heterogeneity

Dynamic analysis of an axially loaded pile embedded in elastic‐poroelasitc layered soil of finite thickness

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