This paper presents a novel mathematical model for the analysis of laterally loaded floating piles embedded in a homogeneous soil layer of finite thickness. The governing equations of the soil surrounding the pile are established by treating soil as a Tajimi‐type continuum, and their solution yields a closed‐form expression that provides the lateral force developing to resist pile deflection. Accordingly, analytical expressions are obtained for the swaying, swaying‐rocking and rocking pile head stiffness, as well as for pile displacement and rotation along its length. The derived expressions are functions of parameters that have direct physical meaning, such as pile and soil elastic stiffness. As such, they pose as an attractive alternative to numerical methods for the low‐cost calibration of Winkler‐based model empirical parameters associated with small pile deflections. The presentation concludes with a parametric study focused on exploring the sensitivity of pile stiffness and deformations to the main problem parameters, and on highlighting differences in the lateral response of floating and end‐bearing piles.

中文翻译：

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使用改进的 Tajimi 模型分析横向荷载浮动桩

本文提出了一种新颖的数学模型，用于分析嵌入有限厚度均匀土层中的横向荷载浮桩。通过将土壤视为田治见型连续体，建立了桩周围土壤的控制方程，其解产生了一个封闭式表达式，该表达式提供了抵抗桩挠度的侧向力。据此，获得了摇摆、摇摆-摇摆和摇摆桩头刚度以及桩沿其长度的位移和旋转的解析表达式。导出的表达式是具有直接物理意义的参数的函数，例如桩和土的弹性刚度。因此，它们是数值方法的一个有吸引力的替代方案，用于低成本校准与小桩变形相关的基于温克勒的模型经验参数。演讲最后进行了参数化研究，重点探讨桩刚度和变形对主要问题参数的敏感性，并强调浮动桩和端承桩横向响应的差异。