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变形协调方程是桩锚结构内力计算的关键。现有的桩锚结构变形协调方程简化了桩身锚点处水平位移与锚索变形量之间的关系，导致当锚索入射角较大时，计算出的桩身内力值有较大误差。针对上述不足，从两个方面改进了变形协调方程：一是引入了锚索自由段长度值，通过建立桩锚结构变形的几何关系，改进了桩锚结构的变形协调条件；二是在推导变形协调方程时，改进了抗滑桩第j排锚索对第i排锚索锚点处位移贡献值的计算方法。通过MATLAB软件编写了桩锚结构内力计算程序，结合工程实例分别采用现有方法和改进方法计算了桩锚结构的内力，并与数值模拟结果进行了对比。结果表明：改进方法计算结果与数值模拟结果更为吻合，桩身剪力值和弯矩值的相对误差均小于0.3%，证明了改进的桩锚变形协调方程的可行性和合理性。该研究可为桩锚支护系统设计提供理论计算依据。
Abstract：The deformation compatibility equation plays a crucial role in the internal force calculation of pileanchor structures.However, the existing deformation compatibility equation for pile-anchor structures simplifies the relationship between the horizontal displacement at the anchor point of the pile and the deformation of the anchor cable, which leads to significant errors in the calculated internal forces of the pile when the incident angle of the anchor cable is large.To address these limitations, improvements were made to the deformation compatibility equation in two aspects.First, the length of the free section of the anchor cable was incorporated to establish the geometric relationship of the deformation of the pile-anchor structure, thereby enhancing the deformation compatibility condition of the pile-anchor system.Secondly, during the derivation of the deformation compatibility equation, the calculation method of the displacement contribution value of the jrow anchor cable of the anti-slide pile to the i-row anchor cable is improved.A program for calculating the internal forces of pile-anchor structures was developed using Matlab software.The internal forces of the pileanchor structure were computed using both the existing method and the improved method, and the results were compared with numerical simulations.The findings indicate that the calculation results obtained using the improved method exhibit greater consistency with the numerical simulation results, with relative errors in shear force and bending moment of the pile body both being less than 0.3%, which validates the feasibility and rationality of the improved deformation compatibility equation for pile-anchor structures.This research can provide theoretical calculation basis for the design of pile-anchor support systems.
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基本信息:
DOI：10.13578/j.cnki.issn.1671-1556.20250003
中图分类号:TU476
引用信息:
[1]万翼,阳浦江,张秀丽,等.基于改进变形协调方程的桩锚结构内力计算与工程应用[J].安全与环境工程,2026,33(01):114-123.DOI:10.13578/j.cnki.issn.1671-1556.20250003.
基金信息:
国家自然科学基金项目（42207222、52379110）