边坡下滑推力矢量和法

doi:10.13722/j.cnki.jrme.2024.0248

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摘要边(滑)坡下滑推力的确定一直是滑坡防治工程中的核心问题。为解决相邻滑面倾角变化大于10°这类复杂折线形滑体下滑推力计算误差大的难题，考虑力的矢量特征，将沿滑面的抗滑力矢和下滑力矢分别向边坡主滑方向投影，提出边坡下滑推力矢量和法，该方法可同时得到坡体内下滑推力分布曲线和整体安全系数。对比分析本文方法与传递系数法，圆弧形滑面与缓倾折线形滑面算例结果表明：本文方法得到的下滑推力曲线与传递系数隐式法吻合较好，验证了本文方法在下滑推力计算中的合理性。复杂折线形滑面的工程实例分析表明：传递系数法隐式解安全系数较严格极限平衡M-P法误差高达21.7%，而本文方法安全系数与M-P法误差仅为0.3%，敏感性计算结果表明土体弹性参数对该方法计算结果影响很小。可见，本文矢量和法适用于相邻滑面倾角变化大于10°的复杂折线形滑体，可为复杂折线形滑体的抗滑工程提供可靠设计依据。

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关键词 ：边坡工程, 矢量和法, 滑坡推力, 剩余下滑推力法, 传递系数法, 严格极限平衡法

Abstract：The determination of sliding thrust force has always been the key issue in the landslide prevention and control project. In order to solve the problem of large error in calculating sliding thrust force of complex polyline sliding body whose inclination angle change of adjacent slice is greater than 10°，the vector characteristics of forces are considered，the anti-slip force vector and sliding force vector are projected to the main sliding direction respectively，and the vector sum method for calculating the sliding thrust of slope is proposed. The distribution of the sliding thrust force along the sliding body and the safety factor can be obtained simultaneously. Comparing the proposed method and transfer coefficient method，the calculation results show that: for the slope with a circular sliding surface and a slope with a polyline sliding surface，the residual sliding thrust curves by the proposed method are in good agreement with those by transfer coefficient implicit method，which verified the rationality of the proposed method. Furthermore，the analysis results of a landslide with a complex polyline sliding surface in Chongqing show that the factor of safety by transfer coefficient implicit method is remarkably bigger than that by the limit equilibrium M-P method，and the relative error is 21.7%. However，for the proposed method in this paper，the relative error is only 0.3% to the M-P method，and the sensitivity calculation results show that the elastic parameters of soil have little influence on the calculation results of the proposed method. It can be seen that vector sum method has strong applicability to the landslide with complex slip surface whose inclination angles of adjacent slices are greater than 10°. This study confirms that the proposed method could provide a reliable design basis for anti-sliding slope engineering of complex polyline sliding surface.

Key words： slope engineering vector sum method landslide sliding thrust residual sliding thrust method transfer coefficient method strict limit equilibrium method

引用本文:

郭明伟1，2，李佳航1，2，江俊霖1，2，蔡启航1，3. 边坡下滑推力矢量和法[J]. 岩石力学与工程学报, 2024, 43(S2): 3808-3819.
GUO Mingwei1，LI Jiahang1，2，JIANG Junlin1，2，CAI Qihang1，3. The vector sum method of calculating sliding thrust force of slope. , 2024, 43(S2): 3808-3819.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2024.0248 或 https://rockmech.whrsm.ac.cn/CN/Y2024/V43/IS2/3808

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