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基于荷载传递法的土弹簧模型,提出了新假设,并建立了用于单桩沉降计算的数学规划模型。该数学模型以离散的最小势能方程为目标函数,桩顶荷载为约束条件,拟解决如何对各土弹簧进行荷载分配使整个系统势能最小的数学问题。不同于传统的土弹簧模型,论文提出的模型假设某一桩单元沉降值为该桩单元顶部平面沉降与底部平面沉降的平均值。通过算例验证,文章推出的计算方法可行有效,计算得出的Q–s曲线、轴力分布与实测数据吻合较好,并对比发现在桩单元较少的情况下,通过该数学规划模型求解单桩沉降可以达到比位移协调法更高的精度。
Based on the soil spring model of load transfer method, a new assumption is put forward and a mathematical programming model for settlement calculation of single pile is established. The mathematical model takes the discrete minimum potential energy equation as the objective function and the pile top load as the constraint condition. It is intended to solve the mathematical problem of how to distribute the load of each soil spring to minimize the potential energy of the entire system. Different from the traditional soil spring model, the model proposed in this paper assumes that the settlement value of a pile unit is the average of the settlement of the top of the pile unit and the settlement of the bottom plane. Through the example validation, the calculation method introduced in this paper is feasible and effective. The computed Q-s curve and the axial force distribution are in good agreement with the measured data. The results show that in the case of small pile unit, the mathematical programming model Single pile settlement can achieve higher accuracy than the displacement coordination method.