边坡失稳的尖点突变模型研究
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TD824.7 O415.4

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国家自然科学基金,重庆市院士基金,重庆大学博士基金


Study on Cusp Catastrophe Mutation of Slope Destability
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    摘要:

    通过建立边坡地质力学模型,考虑内外环境因素对边坡稳定性的影响,应用非线性科学建立了完善的边坡失稳突变理论模型,分析了突变模型中控制变量对边坡产生快速和慢速蠕滑失稳的影响。因刚性极限平衡理论在评价边坡稳定性存在不足,应用刚度效应失稳新理论得到了边坡产生蠕滑失稳的判据,其分析结果能很好解释蠕滑型边坡失稳的机理,从而揭示了应用突变模型研究边坡失稳现象的可行性。

    Abstract:

    A complete theoretical model for slope destabilizing mutation has been set up by studying the geomechanical model and the influences of all circumstantial factors on slope stability,and by applying nonlinear theory.This paper analyzed the influence of controlled variables in the mutation model on the slope in causing slow or fast creeping.As the limit equilibrium stability analysis method of rigid bodies has some defects in slope stability assessment,the new theory of rigidity destabilization is helpful in forming criteria for judging slope creep destabilization.This analysis explains well the underlying causes of creeping slope destabilization and proves the feasibility of studying slope creep with a mutation model.

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姜永东,鲜学福,易俊.边坡失稳的尖点突变模型研究[J].土木与环境工程学报(中英文),2008,30(1):40-43. JIANG Yong-dong, XIAN Xue-fu, YI Jun. Study on Cusp Catastrophe Mutation of Slope Destability[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2008,30(1):40-43.10.11835/j. issn.1674-4764.2008.01.012

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  • 收稿日期:2007-10-15
  • 最后修改日期:2007-09-15
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