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基于位移变异系数的边坡模型收敛判别条件确定
Determination of Convergence Criteria for Slope Models Based on Displacement Coefficient of Variation

DOI: 10.12677/hjce.2025.144098, PP. 915-922

Keywords: 变异系数,边坡数值模型,收敛判别条件
Coefficient of Variation
, Numerical Model of Slope, Convergence Discrimination Condition

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Abstract:

结合强度折减法的边坡稳定性有限元分析中,一般有三种指示边坡到达极限平衡状态:(1) 不平衡力的收敛;(2) 特征部位位移突变;(3) 边坡塑性区贯通。本文提出了一种基于位移变异系数的边坡模型收敛判别条件的确定准则,用于边坡稳定性分析。基于该方法的创新点在于利用上伏滑体的全局位移统计信息,而不是用几个特征点的局部位移来定义终止迭代计算过程。为了验证该方法的有效性,先利用所提出的该手段计算一个简化的边坡然后与原有的收敛条件进行比较。并将该方法用于实际的边坡分析中与现场吻合较好。因此,所提出的方法可以作为边坡模型收敛判别条件。
In the finite element analysis of slope stability combined with the strength reduction method, there are generally three indications that the slope reaches the limit equilibrium state: (1) the convergence of unbalanced forces; (2) the abrupt change of displacement at characteristic parts; (3) the penetration of the plastic zone of the slope. This paper proposes a criterion for determining the convergence discrimination condition of the slope model based on the displacement variation coefficient in the analysis of slope stability. The innovation of this method lies in using the global displacement statistical information of the overlying sliding mass, rather than using the local displacements of several characteristic points to define the termination of the iterative calculation process. In order to verify the effectiveness of this method, the proposed method is first used to calculate a simplified slope and then compared with the original convergence conditions. And this method is applied to the analysis of actual slopes, and the results are in good agreement with the field situation. Therefore, the proposed method can be used as the convergence discrimination condition for the slope model.

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