基于SA与极限平衡力学耦合的边坡稳定性分析

Guo Yunhong, Zhao Liang
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引用次数: 0

摘要

边坡的极限平衡条法已经较为成熟,但由于边坡失稳具有多自由度和高度非线性的复杂性,需要一种更加三维化和成熟的方法来解决边坡问题。在边坡整体力平衡和弯矩平衡的基础上,建立了三维极限平衡方法的统一模型。在不同的假设条件下,得到了各传统模型的解析表达式,避免了原方法分柱分柱时边界处理困难的问题。详细讨论了滑体中轴线上尾缘点B和剪切出口A以及控制圆弧半径变量t对三维边坡稳定系数计算值的影响。然后,在模拟退火算法的基础上,构造了状态生成函数、状态接受函数和温度更新函数,提出了利用模拟退火算法优化边坡滑面搜索的计算方法,并对广西某水电站坝区边坡进行了稳定性分析。结果表明,在设计值K = 1.10附近搜索得到的滑动面位置与实际位置基本一致,证明了SA与极限平衡耦合的力学分析方法在边坡稳定性分析中是方便有效的。
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Slope Stability Analysis Based on the Coupling of SA and Limit Equilibrium Mechanics
The limit equilibrium strip method of slope has become mature, but because of the complexity of slope instability with many degrees of freedom and high nonlinear, a more three-dimensional and mature method is needed for slope problems. Based on the overall force balance and moment balance of slope, a unified model of three dimensional limit balance methods is established in this paper. Given different assumptions, the analytical expressions of each traditional model are obtained to avoid the problem of difficult boundary treatment when the original method is divided into bars and columns. The influence of the trailing edge point B and shear outlet A on the central axis of the sliding body, and the control arc radius variable t on the calculated value of the three-dimensional slope stability coefficient is discussed in detail. Then, based on the simulated annealing algorithm, the state generating function, state accepting function and temperature updating function are constructed, and the calculation method of optimizing the sliding surface search of the slope by using the simulated annealing algorithm is proposed, and the stability analysis of the slope of a hydropower reservoir dam area in Guangxi is carried out. The results show that the position of the sliding surface obtained by searching around the design value K = 1.10 is basically consistent with the actual one, which proves that the mechanical analysis method of coupling SA and limit equilibrium is convenient and efficient in the slope stability analysis.
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CiteScore
1.70
自引率
8.30%
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0
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