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针对深基坑支护的多支撑地下连续墙结构,考虑分步开挖和支撑对墙体的内力和位移以及支撑反力的影响,提出以弹性地基梁为基础的矩阵位移法。在求解矩阵位移法的过程中,确定土体的水平基床系数成为分析地下连续墙变形和内力的关键。Melan给出半无限大弹性空间内部线性荷载作用下的应力和位移解,在Melan解的基础上,通过对其应力解进行积分处理,并结合平面应变问题的物理方程和几何方程,得到条形荷载作用下的位移解,进而得到水平基床系数。将Melan解的矩阵位移法运用到工程实例中,并将实测结果与计算结果进行比较,验证了其可行性和正确性,可为同类工程结构设计提供理论基础。
Considering the influence of stepwise excavation and bracing on the internal forces and displacements of the wall and the supporting reaction force, aiming at the multi-supporting underground continuous wall structure supported by deep foundation pit, a matrix displacement method based on the elastic foundation beam is proposed. In the process of solving the matrix displacement method, determining the horizontal bed coefficient of soil is the key to analyze the deformation and internal force of the diaphragm wall. Melan gives stress and displacement solutions under the linear load in a semi-infinite elastic space. Based on the Melan solution, the stress solution is integrated by combining the physical and geometric equations of the plane strain problem to obtain a bar Displacement solution under load, and then get the horizontal bed coefficient. The matrix displacement method of Melan solution is applied to the engineering example, and the measured results are compared with the calculated results to verify its feasibility and correctness, which can provide theoretical basis for the structural engineering of similar projects.