Efficient solution for a single pile under torsion

Nghiem, Hien Manh; Chang, Nien-Yin

doi:10.1016/j.sandf.2018.08.015

Cited by 18 publications

(9 citation statements)

References 12 publications

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“…Presently, no solution is developed using the energy principles and variational approach for friction pile embedded in multi-layered soil under vertical dynamic load. This shortcoming is overcome in the proposed method in which the finite element method for bar element on elastic foundation using exact shape functions and the iterative solution is employed [15].…”

Section: Research Significancementioning

confidence: 99%

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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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Section: Research Significancementioning

confidence: 99%

“…The iterative solution proposed by Nghiem and Chang [15] is employed in this study to solve Eq. (13).…”

Section: Iterative Solutionmentioning

confidence: 99%

Vertical Dynamic Response of a Friction Pile in Multilayered Soil

Luong¹

2022

GEOMATE

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“…The iterative solution for the pile-soil system is originally developed by Nghiem and Chang [25,26] and extends to solve the problem of the pile under lateral load. The method is based on the equivalent stiffness approach as presented in section 6.…”

Section: Iterative Solution For the Soil-pile Systemmentioning

confidence: 99%

“…The existing methods presented so far in predicting pile behavior under lateral load still experience difficulties in practice because of solution complexity and time-consuming process. The author proposed a simple and efficient solution in analyzing the performance of a single pile with circular cross-section under lateral load in multilayered soils based on the iterative solution scheme initially developed by Nghiem [19] and Nghiem and Chang [25,26]. The differential equations are developed based on the method proposed by Sun [15] and solved by the finite element method.…”

Section: Introductionmentioning

confidence: 99%

A hybrid analytical-numerical solution for a circular pile under lateral load in multilayered soil

Hien

2020

STCE

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A hybrid analytical-numerical solution is proposed to solve the problem of a laterally loaded pile with a circular cross-section in multilayered soils. In the pile-soil model, the lateral load is located at the pile head including both lateral force and bending moment. The single pile is considered as a beam on elastic foundation while shear beams model the soil column below the pile toe. The differential equations governing pile deflections are derived based on the energy principles and variational approaches. The differential equations are solved iteratively by using the finite element method that provides results of pile deflection, rotation angle, shear force, and bending moment along the pile and equivalent stiffness of the pile-soil system. The modulus reduction equation is also developed to match the proposed results well to the three-dimensional finite element analyses. Several examples are conducted to validate the proposed method by comparing the analysis results with those of existing analytical solutions, the three-dimensional finite element solutions. Keywords: beam on elastic foundation; finite element method; pile; energy principle; lateral load.

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“…An efficient solution of Eq. (11) based on the finite element method without solving a large number of equations proposed by Nghiem and Chang [21][22][23]. The solution provides displacements and axial forces along the pile.…”

Section: Displacement Approximationmentioning

confidence: 99%

Linear analysis of a rectangular pile under vertical load in layered soils

Vien¹

2020

STCE

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In this paper, analytical and numerical solutions are developed for the pile with a rectangular cross-section under vertical load in layered soils. The rectangular cross-section is considered as a circular cross-section with a proposed formulation of equivalent radius. A number of bar elements models the pile and soil column below the pile tip while a series of independent springs distributed along the pile shaft with spring stiffness determined by properties of the corresponding soil layer models the surrounding soil. The method is based on energy principles and variational approach and the 1D finite element method is used in a pile displacement approximation. A new equation for modulus reduction appropriate for the rectangular pile is also developed to match the results of the proposed method to those of the three-dimensional (3D) finite element analyses. The proposed solution verified by comparing its results to the 3D finite element analyses and the comparisons are in excellent agreement. Keywords: rectangular piles; variational; energy principle; vertical load; finite element.

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Efficient solution for a single pile under torsion

Cited by 18 publications

References 12 publications

Vertical Dynamic Response of a Friction Pile in Multilayered Soil

Vertical Dynamic Response of a Friction Pile in Multilayered Soil

A hybrid analytical-numerical solution for a circular pile under lateral load in multilayered soil

Linear analysis of a rectangular pile under vertical load in layered soils

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