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司    翔 ， 張培強 ， 黃桂祥 ， 林榮順

（ 中國建筑第七工程局有限公司 ，河南 鄭州 450000)

摘   要 ：為了研究超長樁在承受水平荷載下的樁側水平位移和樁側土壓力的理論計算方法 ，根據有限桿單元的等效荷載求解原理得到與p -y 曲線相適應的非線性彈簧的設置方法 ，建立了超長樁非線性有限桿單元的理論模型 ；以實際工程為建模背景 ，通過ABAQUS 軟件模擬受到水平荷載時的樁側水平位移和樁側土壓力 ，并與 實際測得的數據進行對比 ，以驗證數值模擬計算結果的準確性 。結果表明： 當樁端受到水平荷載作用時 ，樁側 土壓力呈“ M ”型分布 ；數值模擬結果與實際工程測量數值之間誤差較小 ，通過數值模擬計算得到的樁側水平位移和樁側土壓力與實測值之間的相對誤差分別在 5%和2%以內 ；通過 p -y 曲線模型計算得到的樁側土壓力曲線與樁側水平位移曲線與數值模擬計算得到的各點之間的相關系數 R2 分別為 0. 97 和 0. 92 ,  兩種方法得到的計算結果基本一致 ；且利用p -y 曲線模型進行計算比通過ABAQUS 三維有限元軟件計算節約了將近 60%的計算時間 。在實際工程中，可考慮p -y 曲線模型作為超長樁的分析計算模型或作為一種輔助驗證方法用以驗證通過其它方法計算的準確性。

關鍵詞：超長樁；數值模擬；p-y曲線模型；等效荷載

中圖分類號：TU473.1       

文獻標志碼：A  

文章編號：1005-8249（2023）05-0020-08

DOI：10.19860/j.cnki.issn1005-8249.2023.05.004

SI Xiang ,  ZHANG Peiqiang ,  HUANG Guixiang ,  LIN Rongshun

( China Construction Seventh Engineering Bureau Co. ，Ltd. ，Zhengzhou 450000 ,   China)

Abstract: In order to study the theoretical calculation method of pile side horizontal displacement and pile side earth pressure under horizontal load, the theoretical model of nonlinear finite rod element of ultra-long pile is established according to the equivalent load solution principle of finite rod element to obtain the setting method of nonlinear spring corresponding to p-y curve. Based on the actual engineering modeling background, the horizontal displacement of the pile side and the earth pressure on the pile side under horizontal load are simulated by ABAQUS software, and the actual measured data is compared to verify the accuracy of the numerical simulation calculation results. The results show that when the pile end is subjected to horizontal load, the soil pressure on the pile side shows an "M" type distribution. The error between the numerical simulation results and the actual engineering measurement values is small, and the relative errors between the horizontal displacement of the pile side and the soil pressure on the pile side and the measured values calculated by the numerical simulation are within 5% and 2% respectively. The correlation coefficients R2 between the pile side soil pressure curve and the pile side horizontal displacement curve calculated by the p-y curve model and the points calculated by the numerical simulation are 0.97 and 0.92, respectively, and the calculation results obtained by the two methods are basically the same. And the use of p-y curve model for calculations saves nearly 60% of the calculation time compared to calculations by ABAQUS 3D finite element software. In practical engineering, the p-y curve model can be considered as an analytical calculation model for ultra-long piles or as an auxiliary verification method to verify the

 accuracy of calculations by other methods.

Keywords:extra-long piles; numerical simulation; p-y curve model; equivalent loads