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楔形体稳定分析一般采用刚体极限平衡法,然而该方法仅使楔形体的部分平衡条件得到满足,而且还对滑动面反力做了一些假定,由此导致了计算结果不一定是真实的。结合极限分析与块体元法,提出了楔形体稳定分析的下限解法,没有对楔形体的破坏模式、滑动面反力及滑动面数量做任何的假定。采用块体元法的离散思想,将楔形体离散为块体-结构面组成的系统;根据下限定理,构造了满足完全平衡条件、边界条件和屈服条件的静力许可场;建立了下限法数学规划模型,并通过非线性规划获得楔体稳定严格的下限解。3个典型算例验证了本文方法的正确性及可行性。
However, this method only satisfies the partial equilibrium condition of the wedge body, and also makes some assumptions about the reaction force of the sliding surface. As a result, the calculation result is not necessarily true. Combined with the limit analysis and the block element method, the lower bound solution of the wedge stability analysis is proposed. There is no assumption about the wedge failure mode, the sliding surface reaction force and the number of sliding surfaces. According to the lower bound theorem, the static permitting field which satisfies the complete equilibrium condition, the boundary condition and the yielding condition is constructed. The lower bound method is used to establish the mathematics of lower bound method The model is modeled and a strict lower bound solution to the wedge stability is obtained through nonlinear programming. Three typical examples verify the correctness and feasibility of the proposed method.