Efficient Beam–Column Finite-Element Method for Stability Design of Slender Single Pile in Soft Ground Mediums
Publication: International Journal of Geomechanics
Volume 20, Issue 1
Abstract
Slender single piles are extensively used but susceptible to buckling when embedded in soft ground mediums. Owing to the complexity of soil properties, the soil-structure interaction (SSI) response is sometimes very complicated, but its consideration is essential in the design of slender piles. Current design practice relies on either empirical-based linear analysis approaches or sophisticated finite-element methods, which are overconservative or time-consuming, respectively. Therefore, this paper derives a new Euler-Bernoulli element by adopting Winkler-type continuous springs along the element length for considering SSI responses, eliminating the need to model the ground mediums. Consequentially, this method is numerically very efficient, being suitable for the practical analyses of large-scale structures with the explicit modeling of upper structures and piles. A Newton-Raphson incremental-iterative numerical procedure is developed for determining the equilibrium conditions, where the tangent stiffness matrix and the secant relations are formulated using the Gauss-Legendre method for solving the summation procedures. For allowing large deflections, the kinematic motions described by the updated Lagrangian (UL) method are proposed, where the equilibrium conditions are established by referring the last known configurations. Finally, several benchmark examples are provided for validating the accuracy of the proposed method.
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Data Availability Statement
All data generated or used during the study are available from the corresponding author by request.
Acknowledgments
The first author would like to express his gratitude to Sun-Yat-Sen University on the “Early Research Career Scheme Grant”. The research is supported by the National Natural Science Foundation of China (NSFC) (Grant Nos. 41472257, 41530638, and 41372302), the National Key Research and Development Project (Grant Nos. 2017YFC1501201 and 2017YFC0804605), the Special Fund Key Project of Applied Science and Technology Research and Development in Guangdong (Grant Nos. 2015B090925016 and 2016B010124007), and the Special Support Program for High Level Talents in Guangdong (Grant No. 2015TQ01Z344).
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©2019 American Society of Civil Engineers.
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Received: Jan 7, 2019
Accepted: May 30, 2019
Published online: Nov 13, 2019
Published in print: Jan 1, 2020
Discussion open until: Apr 13, 2020
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