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基于理想弹性理论,利用墙单元间的变位、转角、弯矩和剪力连续性条件,建立了地下连续墙在开挖过程中的解析方法。通过改变边界条件和连续性条件,可以模拟理想弹性介质中的无支撑开挖和盖挖逆作工法等施工过程。利用该算法,可以得到与2种施工方法对应的变位、转角、弯矩和剪力表达式。尽管同样源于有限元原理,但给出的方法在单元划分、荷载施加、连续性条件和边界条件的利用等方面与一般有限元法存在显著不同。
Based on the ideal elasticity theory, the analytic method of the underground diaphragm wall in the excavation process was established by using the conditions of displacement, rotation, bending moment and shear continuity between the wall units. By changing the boundary conditions and continuity conditions, it is possible to simulate the construction process of unsupported excavation and cover excavation in the ideal elastic medium. Using this algorithm, the expressions of displacement, rotation angle, bending moment and shear force corresponding to the two construction methods can be obtained. Although it is also derived from the finite element principle, the proposed method is significantly different from the general finite element method in terms of element division, load application, continuity conditions, and utilization of boundary conditions.