砂土海床水平循环受荷刚性桩 “p-y + M-θ”模型

    The "p-y + M-θ" model for cyclic laterally-loaded rigid piles in sand

    • 摘要: 开发海上风电是实现我国“双碳”目标的重要举措。在近海40 m水深范围,大直径单桩因功效高、成本低而成为海上风机基础形式的首选。作者课题组已经建立了黏土海床循环受荷大直径单桩水平受荷 “p-y + M-θ”模型,并应用于大量工程分析,取得良好成效。然而,砂土海床大直径单桩水平受荷分析模型仍处于研究阶段,尚未形成统一方法。本文首先建立了适用于砂土海床水平静力受荷桩响应预测的 “p-y + M-θ”模型,继而将该模型推广至循环受荷响应预测,用以分析循环荷载下单桩位移棘轮和安定响应。通过与离心机和现场试验成果对比发现,该模型可有效预测不同循环荷载下单桩位移响应特征。作者采用该“p-y + M-θ”模型参加第五届海洋岩土工程国际研讨会(ISFOG-2025)举办的单桩水平静力和循环受荷响应盲测竞赛,取得了循环加载预测精度第一的成绩,且为唯一准确复现砂土中桩基循环安定现象的模型。本文提出的 “p-y + M-θ”模型具有参数少、精度高等优势,可为海上风机砂质海床单桩基础提供设计分析方法。

       

      Abstract: Within 40-meter water depths, large-diameter monopiles have become the preferred foundation type for offshore wind turbines due to their high efficiency and low cost. Our research team has previously established a "p-y + M-θ" model for large-diameter monopiles under cyclic horizontal loading in clay, which has been successfully applied in numerous engineering analyses. However, the analytical model for horizontally loaded monopiles in sand remains under investigation, with no unified standards yet established. This study develops a "p-y + M-θ" model for predicting the response of horizontally loaded piles in sand under static loading, which is then extended to cyclic loading to analyze displacement ratcheting and shakedown behavior. At the ISFOG-2025, this team participated in a blind prediction competition for static and cyclic horizontal responses of monopiles using this model. The results demonstrated top-ranking accuracy in cyclic loading prediction and, notably, this model was the only one to accurately replicate cyclic shakedown behavior in sandy soils. The "p-y + M-θ" model proposed in this paper offers advantages such as few parameters and high precision, making it a valuable tool for the design and analysis of monopile foundations in sand for offshore wind turbines.

       

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