| 基于尖点突变理论的岩质边坡稳定性分析 |
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| 引用本文： | 王思长, 折学森, 李毅, 穆鹏. 基于尖点突变理论的岩质边坡稳定性分析[J]. 交通运输工程学报, 2010, 10(3): 23-27. doi: 10.19818/j.cnki.1671-1637.2010.03.004 |
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| 作者姓名： | 王思长 折学森 李毅 穆鹏 |
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| 作者单位： | 1.长安大学 公路学院, 陕西 西安 710064;;2.长安大学 特殊地区公路工程教育部重点实验室, 陕西 西安 710064;;3.陕西省咸阳路桥工程公司, 陕西 咸阳 712000;;4.武警工程学院 建筑工程系, 陕西 西安 710086 |
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| 基金项目： | 陕西省交通科技项目07-12K 陕西省交通科技项目08-03T |
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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。
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| 关 键 词： | 路基工程 岩质边坡 稳定性 尖点突变理论 力学模型 |
| 收稿时间： | 2010-01-11 |
Stability analysis of rock slope based on cusp catastrophe theory |
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| WANG Si-zhang, SHE Xue-sen, LI Yi, MU Peng. Stability analysis of rock slope based on cusp catastrophe theory[J]. Journal of Traffic and Transportation Engineering, 2010, 10(3): 23-27. doi: 10.19818/j.cnki.1671-1637.2010.03.004 |
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| Authors: | WANG Si-zhang SHE Xue-sen LI Yi MU Peng |
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| Affiliation: | 1. School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China;;2. Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064, Shaanxi, China;;3. Xianyang Road and Bridge Engineering Company of Shaanxi, Xianyang 712000, Shaanxi, China;;4. Department of Building Engineering, Engineering College of Armed Police Force, Xi'an 710086, Shaanxi, China |
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| 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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| Keywords: | subgrade engineering rock slope stability cusp catastrophe theory mechanical model |
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