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| 倾斜桩水平挠曲的零空间解法 |
| Null space method for horizontal deflection of inclined pile |
| 投稿时间：2025-02-13 修订日期：2025-03-26 |
| DOI： |
| 中文关键词: 零空间法 倾斜桩 挠曲 Pasternak地基模型 高阶微分方程 |
| 英文关键词:null space method inclined pile flexure Pasternak foundation model high-order differential equation |
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| 中文摘要: |
| 基于Pasternak双参数地基模型，倾斜桩的水平挠曲创新地采用了零空间方法（NSM）进行分析和求解。该方法通过设定水平挠度的场函数并与边界条件解耦，避免了计算高阶挠度微分方程时对复杂边界条件的考虑和理论解析。结果表明，NSM法求解倾斜桩的变形值与实际案例的勘测值吻合良好。相比于支护桩变形的传统求解方法，NSM法在保证计算准确性的同时，其场函数的选择更灵活，刚度矩阵形式更简单且易于编程，从而简化和提高了计算过程与效率，进一步拓展了复杂支护桩等工程结构挠曲变形的计算方法及应用设计。 |
| 英文摘要: |
| Based on Pasternak two-parameter foundation model, the horizontal deflection of inclined pile is analyzed and solved by null space method (NSM) innovatively. By setting the field function of horizontal deflection and decoupling it from the boundary conditions, this method avoids the consideration of complex boundary conditions and theoretical analysis when calculating the high-order deflection differential equation. The results show that the deformation value of inclined pile obtained by NSM method is in good agreement with the survey value of actual case. Compared with the traditional method of solving the deformation of supporting piles, NSM method not only ensures the calculation accuracy, but also has more flexible field function selection, simpler stiffness matrix form and easy programming. In consequence, NSM method can simplify and improve the calculation process and efficiency, and further expand the calculation method and application design of complex engineering structures. |
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