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基于尖点突变理论的岩质边坡稳定性分析

王思长,  折学森,  李毅,  穆鹏

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文章导航 > 交通运输工程学报  > 2010 >  10(3): 23-27
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
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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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
Citation: 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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基于尖点突变理论的岩质边坡稳定性分析

doi: 10.19818/j.cnki.1671-1637.2010.03.004
  • 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

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

详细信息
    作者简介:

    王思长（1981-）, 男, 山东滕州人, 长安大学工学博士研究生, 从事岩土体稳定与防治研究

    折学森(1956-), 男, 陕西绥德人, 长安大学教授

  • 中图分类号: U416.14

Stability analysis of rock slope based on cusp catastrophe theory

  • 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

More Information
    Author Bio:

    WANG Si-chang(1981-), male, doctoral student, +86-29-82334839, wsc1257@163.com

    SHE Xue-sen(1956-), male, professor, +86-29-82334817, shexuesen@sina.com

    摘要
  • 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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  • 图  1  斜坡滑动分析模型

    Figure  1.  Gliding analysis model of slope

    下载: 全尺寸图片 幻灯片

    图  2  剪应力与变形关系

    Figure  2.  Relationships between deformations and shearing stresses

    下载: 全尺寸图片 幻灯片
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  • 收稿日期:  2010-01-11
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