基于Timoshenko-Pasternak模型的水平受荷大直径桩静力响应分析  

Static response analysis of horizontally loaded large-diameter piles based on the Timoshenko-Pasternak model

作　　者：范思圆 赵金海 俞长海 黄丹[1] FAN Siyuan;ZHAO Jinhai;YU Changhai;HUANG Dan(Department of Engineering Mechanics,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学工程力学系,江苏南京211100

出　　处：《海洋工程》2025年第2期93-101,共9页The Ocean Engineering

基　　金：国家自然科学基金面上项目(12072104)。

摘　　要：为弥补传统Euler-Winkler(简称E-W)计算模型在单桩水平静力响应分析中的不足,基于Timoshenko梁理论和Pasternak地基理论,建立同时考虑土体剪切效应和桩身剪切变形的Timoshenko-Pasternak(简称T-P)模型。首先,基于T-P模型推导单桩的整体平衡方程组;其次,运用传递函数方法结合迭代法求解;最后,通过实际案例分析,验证方法的合理性和适用性。结果表明:在大变形情况下(10 mm以上),T-P计算模型比E-W计算模型更适用于大直径钢管桩的侧向位移计算;T-P模型可以较好反映出桩身的剪力变化情况,但存在高估深层土处剪切力的现象;桩顶位移与土-桩相对剪切比呈正比例关系,且土体剪切效应相比钢管桩剪切变形对侧向位移的影响更为显著;桩身变形越接近于刚性转动,桩顶承载力增幅越大,桩身变形越接近于柔性变形,桩顶承载力增幅越小。To address the limitations of the traditional Euler-Winkler(E-W)computational model in analyzing the horizontal static response of monopiles,a Timoshenko-Pasternak(T-P)model based on Timoshenko beam theory and Pasternak foundation theory,incorporating both soil shear effects and pile shear deformation is proposed.First,the overall equilibrium equations for a monopile are derived using the T-P model.Subsequently,the transfer function method combined with an iterative approach is employed for solving the equations.Finally,the rationality and applicability of the proposed method are verified through a case study.Results indicate that the T-P model is more suitable than the E-W model for calculating the lateral displacement of large-diameter steel monopiles under large deformations(exceeding 10 mm).The T-P model effectively captures the variations in shear force along the pile shaft but tends to overestimate the shear forces in deeper soil layers.The pile head displacement is positively correlated with the soil-pile relative shear ratio,and the soil shear effect has a more significant influence on lateral displacement than pile shear deformation.The closer the pile deformation is to rigid body rotation,the greater the increase in pile head bearing capacity,while the closer it is to flexible deformation,the smaller the increase in bearing capacity.

关 键 词：P-Y曲线 大直径单桩 Timoshenko-Pasternak模型 剪切变形 海上风电 

分 类 号：P753[交通运输工程—港口、海岸及近海工程] TU473[天文地球—海洋科学]