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Efficient solution for a single pile under torsion

机译：扭转下单桩的高效解决方案

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摘要

This paper presents a simple and more efficient solution mechanism for solving the linear response of a single pile with a circular cross section under torque in "n" multilayered soils. The pile-soil system is modeled by a series of independent springs distributed along the pile shaft with each spring representing an individual layer of soil. The properties of each soil layer are assumed constant with the allowance for variation from layer to layer. The method is based on the energy principles and variational approach initially proposed by Vallabhan and Mustafa (1996) for a single pile under a vertical load, developed by Guo and Lee (2001) for a single pile under a lateral load, and developed by Zhang (2010) and Misra et al. (2013) for a pile under torque. With the proposed iterative solution scheme, the equivalent stiffness of a soil-pile system of individual pile segments is calculated from the bottom element to the top element, while torque and the angles of twist are calculated from the top element to the bottom element of the pile without having to simultaneously solve a large number of equations. The solution provides: (1) the distribution of the angles of twist, (2) the distribution of torque along the pile and (3) the equivalent stiffness of the pile-soil system. A comparison of the results of the analysis using the proposed new solution mechanism with those of existing analytical solutions and a three-dimensional finite element analysis shows that the proposed method is much more efficient. (C) 2018 Production and hosting by Elsevier B.V. on behalf of The Japanese Geotechnical Society.
机译：本文提出了一种简单有效的解决方案机制，用于解决“ n”个多层土中受扭矩作用下的圆形截面单桩的线性响应。桩土系统是通过沿桩轴分布的一系列独立弹簧建模的，每个弹簧代表一个单独的土壤层。假定每个土壤层的特性是恒定的，并允许层与层之间的变化。该方法基于Vallabhan和Mustafa（1996）最初针对竖向荷载下的单桩，Guo and Lee（2001）针对横向荷载下的单桩并由Zhang开发的能量原理和变分方法。 （2010年）和Misra等。 （2013年）针对受扭矩作用的桩。通过提出的迭代求解方案，从桩的底部到顶部计算各个桩段的土桩系统的等效刚度，而从桩的顶部到底部计算扭矩和扭转角。无需同时求解大量方程组。该解决方案提供：（1）扭转角的分布；（2）沿桩的扭矩分布；（3）桩-土系统的等效刚度。使用所提出的新解机制与现有解析解的分析结果以及三维有限元分析的比较结果表明，所提出的方法效率更高。 （C）2018年由Elsevier B.V.代表日本岩土工程学会制作和托管。

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