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采用将桩锚结构视为荷载作用-侧向弹簧支承的连续梁模型,支护桩为直立的弹性地基梁,主动土体转换为土压力,锚杆简化成为可逐步施加的弹簧支承,而被动土体则用侧向支承的土体弹簧替代。土体弹簧的刚度K是通过半无限大弹性空间内部水平荷载作用下的Mindlin解来确定,这种方法降低了因深度加深而带来弹簧刚度的增长率,更加符合实际情况。针对这种弹性地基梁模型,提出了以矩阵分析为手段的计算方法,该法优点在于将桩锚视为桩-锚-土三者协同作用的支护结构,同时在计算过程中充分考虑了基坑分步开挖的施工过程对支护桩、锚杆以及被动土体的变形影响。通过实例分析表明:矩阵位移法为桩锚结构设计提供了一种合理、有效的计算方法。
The pile-anchor structure is regarded as a continuous beam model of lateral spring support. The supporting pile is an erected elastic foundation beam, the active soil is converted into earth pressure, and the anchor rod is simplified to be a spring support that can be applied step by step. Soil is replaced by lateral spring soil support. The stiffness K of soil spring is determined by Mindlin’s solution under the horizontal load in the semi-infinite elastic space. This method reduces the growth rate of spring stiffness due to the deepening of depth, which is more in line with the actual situation. According to the elastic foundation beam model, the method of matrix analysis is put forward as a calculation method. The advantage of this method is that the pile anchor is regarded as the supporting structure of the pile-anchor-soil synergy. Meanwhile, in the process of calculation, Influence of Construction Progress of Pit Excavation on Deformation of Supporting Pile, Anchor Rod and Passive Soil. The case study shows that the matrix displacement method provides a reasonable and effective method for the design of pile-anchor structure.