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建立了岩质边坡稳定性评价的力学模型,推导了边坡突发失稳的力学条件判据,应用尖点突变理论对岩质边坡开挖过程中的稳定性进行分析,比较了刚性极限平衡理论在分析岩质边坡稳定性中存在的不足。计算结果表明:利用刚性极限平衡法计算的边坡稳定性系数为0.989,小于1,即边坡不稳定;利用尖点突变理论计算的边坡刚度比为1.120,大于水致弱化系数的倒数0.806,即边坡稳定,与实际相符,因此,可应用尖点突变理论分析各种影响因素复杂的岩质边坡的稳定性。
The mechanical model for evaluating the stability of rock slope is established. The criterion for the mechanical instability of slope is deduced. The stability of rock slope during excavation is analyzed by using the cusp catastrophe theory. The stiffness Limit equilibrium theory in the analysis of rock slope stability problems. The calculated results show that the slope stability coefficient calculated by rigid limit equilibrium method is 0.989, which is less than 1, that is, the slope is not stable. The slope stiffness ratio calculated by cusp catastrophe theory is 1.120, which is greater than the reciprocal of water-induced attenuation coefficient of 0.806 , That is, the slope is stable and consistent with the actual. Therefore, the cusp catastrophe theory can be applied to analyze the stability of various rock slopes with various influencing factors.