Stability analysis of rock slope based on cusp catastrophe theory
Article Text (Baidu Translation)
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摘要: 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。Abstract: A mechanical model for the assessment of rock slope stability was built, the criterions of the mechanical conditions resulting in the failure and instability of rock slope were inferred, the stability of rock slope was analyzed by using cusp catastrophe theory and limit equilibrium stability method applied in rigid bodies, and the latter deficiency was studied.With rigid limit equilibrium method, the stability coefficient of rock slope is 0.989, and is less than 1, which means that the slope is unstable.With cusp catastrophe theory, the rigidity ratio of the slope is 1.120, and is greater than 0.806 that is the reciprocal of water softening ratio, which means that the slope is stable.In fact, the slope is stable in excavation process, so cusp catastrophe theory may be used to analyze the stability of rock slope with complex factors.
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Key words:
- subgrade engineering /
- rock slope /
- stability /
- cusp catastrophe theory /
- mechanical model
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