有限元边坡稳定分析方法及其应用
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摘要
本文介绍了一种基于有限元应力分析的边坡稳定评价方法 ,讨论了边坡稳定安全系数定义的物理意义 ,介绍了搜索最危险滑动面的广义数学规划命题和模式搜索方法。同时给出了该方法的计算结果与其它方法计算结果的对比算例以及该方法的应用实例
A method for stability assessment of slopes using pattern search technigue, which is based on finite element stress analysis, is introduced in this paper. The definition of the safety factor is elucidate and the mathematical programming technique for searching the slip surface is presented. Numerical examples of applying the method to various problems of slope stability analysis are given, which demonstrate that the method is efficient and reliable.
A method for stability assessment of slopes using pattern search technigue, which is based on finite element stress analysis, is introduced in this paper. The definition of the safety factor is elucidate and the mathematical programming technique for searching the slip surface is presented. Numerical examples of applying the method to various problems of slope stability analysis are given, which demonstrate that the method is efficient and reliable.
引文
[ 1 ] 钱家欢 .土工原理与计算 (上册 ) [M] .北京 :水利电力出版社 ,1 982 .(Qian Jiahuan.Theory andComputation of Soil Engineering[M] .Beijing:Water Resources and Hydro Power Press of China,1 982 (in Chinese) )
[2 ] Matsui T and San K.Finite elementslope stability analysis by Shear Strength Reduction Technique[J] .Soils and Foundations,1 992 ,32 (1 ) :59- 70 .
[3] Donald IB.Finite elementassessmentof slope Stability[R] .Departmentof Civil Engineering,MonashUniversity,Melbourne,Australia,1 993,D1 - D1 8.
[4] 邵龙潭 ,陈璧宏 .确定边坡最危险滑裂面的广义数学规划法 [J] .计算数学 ,1 989(增刊 ) :31 3- 31 8.(ShaoLongtan,Chen Bihong.General mathematics planning method for deciding the most dangerous slipsurfaces of slope[J] .Computational Mathematics,1 989(spe.Iss) :31 3- 31 8(in Chinese) )
[5] 邵龙潭 ,韩国城 .堆石坝边坡稳定分析的一种方法 [J] .大连理工大学学报 ,1 994,34(3) :365- 369.(ShaoLongtan,Han Guocheng.Finite elementslope stability analysis method with its application to rockfilldam[J] .Journal of Dalian University of Technology,1 994,34(3) :365- 369(in Chinese) )
[6] 邵龙潭 ,韩国城 .水流作用下堆石坝边坡的稳定分析方法 [J] .水利学报 ,1 997,(1 ) :51 - 55.(ShaoLongtan,Han Guocheng.Finite element stability analysis of rockfill slopes under the action ofseepage force[J] .Journal of Hydraulic Engineering,1 997,(1 ) ;51 - 55(in Chinese) )
[7] 杨蕴明 ,邵龙潭 .土工加筋结构的有限元边坡稳定分析 [J] .地基处理 ,1 996,7(4) :1 - 8.(Yang Yunming,Shao Longtan.Finite element slope stability analysis of reinforced soil structure[J] .FoundationsTreatment,1 996,7(4) :1 - 8(in Chinese) )
[8] 邵龙潭 ,唐洪祥 ,等 .随机地震作用下土石坝边坡的稳定性分析 [J] .水利学报 ,1 999,(1 1 ) :66- 71 .(ShaoLongtan,Tang Hongxiang,etal.Finite element analysis for slope stability of earth- rock dam underthe action of stochastic seismic[J] .Journal of Hydraulic Engineering,1 999,(1 1 ) :66- 71 (in Chinese) )
[2 ] Matsui T and San K.Finite elementslope stability analysis by Shear Strength Reduction Technique[J] .Soils and Foundations,1 992 ,32 (1 ) :59- 70 .
[3] Donald IB.Finite elementassessmentof slope Stability[R] .Departmentof Civil Engineering,MonashUniversity,Melbourne,Australia,1 993,D1 - D1 8.
[4] 邵龙潭 ,陈璧宏 .确定边坡最危险滑裂面的广义数学规划法 [J] .计算数学 ,1 989(增刊 ) :31 3- 31 8.(ShaoLongtan,Chen Bihong.General mathematics planning method for deciding the most dangerous slipsurfaces of slope[J] .Computational Mathematics,1 989(spe.Iss) :31 3- 31 8(in Chinese) )
[5] 邵龙潭 ,韩国城 .堆石坝边坡稳定分析的一种方法 [J] .大连理工大学学报 ,1 994,34(3) :365- 369.(ShaoLongtan,Han Guocheng.Finite elementslope stability analysis method with its application to rockfilldam[J] .Journal of Dalian University of Technology,1 994,34(3) :365- 369(in Chinese) )
[6] 邵龙潭 ,韩国城 .水流作用下堆石坝边坡的稳定分析方法 [J] .水利学报 ,1 997,(1 ) :51 - 55.(ShaoLongtan,Han Guocheng.Finite element stability analysis of rockfill slopes under the action ofseepage force[J] .Journal of Hydraulic Engineering,1 997,(1 ) ;51 - 55(in Chinese) )
[7] 杨蕴明 ,邵龙潭 .土工加筋结构的有限元边坡稳定分析 [J] .地基处理 ,1 996,7(4) :1 - 8.(Yang Yunming,Shao Longtan.Finite element slope stability analysis of reinforced soil structure[J] .FoundationsTreatment,1 996,7(4) :1 - 8(in Chinese) )
[8] 邵龙潭 ,唐洪祥 ,等 .随机地震作用下土石坝边坡的稳定性分析 [J] .水利学报 ,1 999,(1 1 ) :66- 71 .(ShaoLongtan,Tang Hongxiang,etal.Finite element analysis for slope stability of earth- rock dam underthe action of stochastic seismic[J] .Journal of Hydraulic Engineering,1 999,(1 1 ) :66- 71 (in Chinese) )
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