A note on the elastodynamic load transfer problem

Rajapakse, R. K. N. D.

doi:10.1016/0020-7683(88)90044-3

Cited by 23 publications

(7 citation statements)

References 9 publications

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“…Mathematical models capable of describing the dynamic behaviour of floating piles are relatively scarce in the literature. Early attempts to formulate such models [34][35][36][37] are based on the fictitious pile concept originally proposed by Muki and Sternberg. 38,39 The fictitious pile approach requires solving complicated integral equations, which is not always a straightforward process.…”

Section: Introductionmentioning

confidence: 99%

Closed‐form formulation of vertical dynamic response of single floating piles in homogeneous viscoelastic soil

Zheng

Kouretzis

Ding

et al. 2022

Num Anal Meth Geomechanics

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This paper presents a mathematical model for the elastic analysis of single floating piles subjected to axial dynamic loads, that is based on treating the soil surrounding the pile as a Tajimi‐type viscoelastic continuum. The pile and the soil column underlying the pile tip are modelled using one‐dimensional rod theory, and this allows obtaining an elegant solution that requires solving a system of linear equations, instead of complicated integral equations. Closed‐form expressions are derived for the dynamic stiffness at the pile head, and the frictional resistance along the pile shaft. The presentation concludes with a discussion on the main mechanisms that govern the inertial response of floating piles, and an investigation on the sensitivity of the dynamic stiffness and of the frictional resistance to the main geometrical and material problem parameters.

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Section: Introductionmentioning

confidence: 99%

Closed‐form formulation of vertical dynamic response of single floating piles in homogeneous viscoelastic soil

Zheng

Kouretzis

Ding

et al. 2022

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

“…Rajapakse and Shah [7,8] and Rajapakse [9] developed a solution scheme based on Green's function representations for the surrounding halfspace. Rajapakse [9] proposed the fictitious bar extended half-space to provide a consistent and accurate solution for axisymmetric elastodynamic load transfer problems over a wide range of frequencies of excitation. The solutions can be applied for friction piles, but only homogeneous soil was considered, and the results were not verified for the static pile head stiffness as the pile head impedance at zero frequency without material damping.…”

Section: Introductionmentioning

confidence: 99%

Vertical Dynamic Response of a Friction Pile in Multilayered Soil

Luong¹

2022

GEOMATE

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A semi-analytical-numerical method is developed to investigate the vertical dynamic response of a single pile embedded in multilayered soil. The governing differential equation for the pile and soil settlements is derived using the energy principles and variational approach that can consider both normal and shear strains in the vertical direction. The soil displacement in the vertical direction is expressed in terms of the pile displacement in the vertical direction and a decay function in the radial direction. The pile is modeled by a series of elements and the differential equation for each element is solved by applying the finite element method where exact shape functions are employed. The iterative algorithm is adopted to solve the pile settlement and the pile head impedance instead of solving simultaneously many equations and the proposed method is implemented in a computer code to obtain the solution. The validation of the proposed method is performed via a comparison of the pile head impedance and static stiffness with those from existing methods in the literature for both end-bearing and friction piles in homogeneous and multilayered soils. The pile head impedances calculated using the proposed method match well those obtained from approximate analytical solutions and are in good agreement with those from the three-dimensional finite element analyses at zero frequency.

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“…Furthermore, the foregoing studies were all focused on isotropic media. One can refer to Rajapakse for more discussions on approximate schemes based on the fictitious bar‐extended half‐space model.…”

Section: Introductionmentioning

confidence: 99%

Elastostatic response of a pile embedded in a transversely isotropic half‐space under transverse loading

Gharahi

Rahimian

Eskandari‐Ghadi

et al. 2013

Num Anal Meth Geomechanics

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SUMMARY In the framework of elastostatics, a mathematical treatment is presented for the boundary value problem of the interaction of a flexible cylindrical pile embedded in a transversely isotropic half‐space under transverse loadings. Taking the pile region as a stiffened subdomain of an extended half‐space, the formulation of the interaction problem is reduced to a Fredholm integral equation of the second kind. The necessary set of Green's functions for the transversely isotropic half‐space is obtained by means of a method of potentials. The resulting Green's functions are incorporated into a numerical procedure for the solution of the integral equation. The theoretical response of the pile is presented in terms of bending moment, displacement and slope profiles for a variety of transversely isotropic materials so that the effect of different anisotropy parameters can be meaningfully discussed. Copyright © 2013 John Wiley & Sons, Ltd.

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A note on the elastodynamic load transfer problem

Cited by 23 publications

References 9 publications

Closed‐form formulation of vertical dynamic response of single floating piles in homogeneous viscoelastic soil

Closed‐form formulation of vertical dynamic response of single floating piles in homogeneous viscoelastic soil

Vertical Dynamic Response of a Friction Pile in Multilayered Soil

Elastostatic response of a pile embedded in a transversely isotropic half‐space under transverse loading

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