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水平受荷单桩常用于海上风机基础,该条件下单桩受到巨大的倾覆力矩。通过引入力和弯矩平衡的拉格朗日乘子,将桩身挠曲线泛函极值问题转化为非线性方程组。方程组求解采用牛顿法,以Matlab矩阵运算实现。所提方法适用于任意非线性或分段形式的p-y(水平抗力-水平位移)曲线,计算迅速,可模拟荷载和桩身参数的变化。与试桩资料的对比表明,所提方法计算准确。算例研究表明,加载高度与桩长相仿时,绝大部分桩基变形是由桩顶弯矩导致,水平承载力校核失去意义。通过计算不同设计参数下的桩基变形曲线,研究了海上风机单桩基础的设计问题。研究表明,单桩基础存在明显的有效桩长。设计桩径是由水平位移限值决定的,更小的桩径就能满足规范中的转角限值。
The single horizontal pile is commonly used on the foundation of offshore wind turbines. Under this condition, the single pile is subjected to huge overturning moment. By introducing the Lagrange multiplier with balance of force and moment, the functional extreme of the bending curve of pile body is transformed into the nonlinear equations. The equations are solved by Newton method and Matlab matrix operation. The proposed method is suitable for p-y (horizontal resistance-horizontal displacement) curves in any nonlinear or segmental form and is calculated rapidly and simulates changes in load and pile parameters. Comparison with the test pile data shows that the proposed method is accurate. The case study shows that when the loading height is similar to the length of the pile, the deformation of most of the pile foundations is caused by the bending moment on the top of the pile, and the check of horizontal bearing capacity is of no significance. By calculating the deformation curves of pile foundation under different design parameters, the design of offshore single-pile foundation is studied. The research shows that there is a significant effective pile length for single pile foundation. The designed diameter of the pile is determined by the horizontal displacement limit, and the smaller pile diameter can meet the specification of the limit of the rotation.