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基于能量守恒思想,采用径向条分法,假设虚拟位移,建立滑坡的稳定性计算数学模型,为滑坡稳定性分析提供了一种新的方法。基于虚拟位移ds,推导了滑坡重力势能增量(35)U和滑面摩擦耗能(35)W,定义了能量法滑坡稳定性系数Sc,分别给出了在不考虑地下水和考虑地下水两种情况下滑坡稳定系数Sc的数学表达式。通过算例分析,并与极限平衡法中的简布法计算结果对比,结果表明,不考虑地下水情况下能量法的计算结果与简布法较为接近,且前者稳定系数略高,差值比为0.19%;考虑地下水影响的情况下能量法计算结果与简布法的差值比为9.77%,前者稳定系数较低,即能量法中地下水对滑坡稳定性系数影响较大。基于算例1,对模型的主要参数进行了关于稳定系数Sc的敏感性分析。最后从本质上对比分析了能量法与简布法的异同。
Based on the idea of conservation of energy, a radial striping method, assuming virtual displacement, and establishing a mathematical model of stability calculation of landslide are provided, which provide a new method for landslide stability analysis. Based on the virtual displacement ds, the increment of the landslide potential energy (35) U and the frictional energy loss of the sliding surface (35) W are deduced, and the stability coefficient Sc of the landslide by energy method is defined. The results show that in the case of considering both groundwater and groundwater Mathematical expressions of landslide stability coefficient Sc in the case. The results of numerical examples and comparison with the simplified method in the limit equilibrium method show that the calculated results of the energy method without groundwater are close to those of the simple method and the stability coefficient of the former is slightly higher, 0.19%. When considering the effect of groundwater, the difference between the energy method and the cloth method is 9.77%. The former has a low stability coefficient, that is, the groundwater has a great influence on the stability coefficient of the landslide in the energy method. Based on Case 1, the sensitivity analysis of the stability coefficient Sc is carried out on the main parameters of the model. At last, the similarities and differences between energy method and Jane cloth method are compared and analyzed in essence.