This study focuses on the influence of the pile end soil on the torsional vibration of a pile based on a fictitious soil pile model considering stress diffusion. The pile end soil is simulated as a cone-shaped fictitious soil pile whose parameters remain the same as the soil. The dynamic equilibrium equations for the pile–soil system subjected to torsional dynamic loadings are developed and solved to obtain the corresponding analytical solution. Then, comparisons with other solutions are conducted to verify the reliability of the proposed solution. Finally, parametric analysis results are presented based on the proposed solution to portray the influence of the stress diffusion angle, thickness and shear wave velocity of the pile end soil.

中文翻译：

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考虑应力扩散的桩端土对桩身扭转振动的影响

本研究基于考虑应力扩散的虚拟土桩模型，重点研究桩端土对桩身扭转振动的影响。桩端土模拟为锥形虚拟土桩，参数与土体保持一致。建立并求解了承受扭转动载荷的桩土系统的动态平衡方程，得到相应的解析解。然后，与其他解决方案进行比较，以验证所提出解决方案的可靠性。最后，基于所提出的解决方案给出了参数化分析结果，以描绘桩端土的应力扩散角、厚度和剪切波速度的影响。