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上官士青, 刘红军, 朴春德. 考虑土抗力方向的p-y曲线法研究[J]. 岩土工程学报, 2014, 36(8): 1526-1534. DOI: 10.11779/CJGE201408020
引用本文: 上官士青, 刘红军, 朴春德. 考虑土抗力方向的p-y曲线法研究[J]. 岩土工程学报, 2014, 36(8): 1526-1534. DOI: 10.11779/CJGE201408020
SHANGGUAN Shi-qing, LIU Hong-jun, PIAO Chun-de. A modified p-y curve method considering rotation of soil resistance[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1526-1534. DOI: 10.11779/CJGE201408020
Citation: SHANGGUAN Shi-qing, LIU Hong-jun, PIAO Chun-de. A modified p-y curve method considering rotation of soil resistance[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1526-1534. DOI: 10.11779/CJGE201408020

考虑土抗力方向的p-y曲线法研究

A modified p-y curve method considering rotation of soil resistance

  • 摘要: 当桩顶受到不在同一平面内的水平力—弯矩组合荷载时,桩身变形复杂,多采用三维有限元法进行分析,不方便实用。为此,文章提出了一种三维情况下土抗力弹簧可在水平面内旋转的p-y曲线法,并建立了相应的数学规划模型进行求解。根据最小势能原理,以广义势能方程为目标函数,将p-y曲线积分计算土弹簧做功,同时以桩身变形协调条件作为数学模型的约束条件,构成了一个非线性规划模型。模型假设桩身每个节点5自由度,并考虑了p-效应。通过3个算例对该数学规划模型进行了验证,结果表明该模型整体假设条件合理,方法可行。文章同时对桩身双向不均匀弯曲下的土弹簧在水平面内旋转的情况进行分析,认为模型可有效反映出桩身在三维空间内的位移和力的协调。

     

    Abstract: The combined load of moments and horizontal forces which are not coplanar at pile top generally cause a complex pile deformation. Under this circumstance, analysis is often performed by using the three-dimensional finite element method, which is not convenient and practical. To simplify the procedure, a modified p-y curve method is proposed in 3D space under the assumption that soil resistance springs can be rotated on the horizontal plane. A corresponding mathematical programming (optimization) model is established for solving this method. Based on the principle of the minimum potential energy, the generalized potential energy equation is selected as the objective function in which the soil spring acting work is represented by the integrated p-y curve functions, and the pile deformation compatibility conditions are selected as constraints, forming a nonlinear programming model. This model assumes five DOFs (degrees of freedom) per node, and the p- effect is considered. The mathematical programming model is validated through three examples. The results show that the assumptions in the proposed method are reasonable, and the model is feasible. Analysis of the soil resistance rotation on the horizontal plane is carried out under bi-directional unevenness bending, and the coordination of displacement and force is presented effectively in the proposed model.

     

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