预应力锚索加固土质边坡极限平衡稳定性分析
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摘要
基于滑动面搜索新方法,对预应力锚索加固边坡进行稳定性分析。通过将锚索的加固效应简化为作用在土条(柱)底面上的一个外力,实现了条分(柱)法下二维和三维锚索加固边坡的安全系数计算。经过算例对比分析,验证了本文方法的可行性,然后,在一定程度上研究了锚索倾角θ、三维滑动体长度L、锚索锚固力F以及水平加固间距S变化时对边坡稳定性的影响。研究结果表明:(1)锚索加固可有效提高边坡的稳定性,同时,也增大了原有边坡发生滑动的范围;(2)随着三维滑动体长度L的增大,三维边坡(包括未加固和锚索加固)的稳定性趋于二维边坡稳定性;(3)单位水平加固间距上的锚固力越大,锚索对边坡的加固效应越明显。
This paper presents a new method of searching for sliding surface and uses it for stability analysis of slopes reinforced with pre-tensioned cables.The reinforcement effect of cables is simplified to an external force on the bottom surface of the soil section(column) when the slice methods are used.The formula for calculating the factor of safety(FOS) is achieved in two-dimensional(2D)or three-dimensional(3D)slopes reinforced with pre-tensioned cables.Some examples are compared and analyzed.The feasibility of the proposed method is verified.Then in a certain extent,the effect on the slope stability with change of cable angle(θ),length of three-dimensional sliding body(L),anchorage force of cable(F) and horizontal space of reinforcement cable(S) is researched.The numerical results show the follows.(1)Cables can effectively improve the stability of slope,and can increase the range of original slope's sliding surface.(2)As the three-dimension sliding body length(L)increases,the stability of 3D slopes(including non-reinforcement slope and slopes reinforced with cables) tends to the stability of 2D slopes.(3)the greater anchorage force of per meter horizontal reinforcement spacing is,the more anchor cable's reinforcement effect on the slope is.
This paper presents a new method of searching for sliding surface and uses it for stability analysis of slopes reinforced with pre-tensioned cables.The reinforcement effect of cables is simplified to an external force on the bottom surface of the soil section(column) when the slice methods are used.The formula for calculating the factor of safety(FOS) is achieved in two-dimensional(2D)or three-dimensional(3D)slopes reinforced with pre-tensioned cables.Some examples are compared and analyzed.The feasibility of the proposed method is verified.Then in a certain extent,the effect on the slope stability with change of cable angle(θ),length of three-dimensional sliding body(L),anchorage force of cable(F) and horizontal space of reinforcement cable(S) is researched.The numerical results show the follows.(1)Cables can effectively improve the stability of slope,and can increase the range of original slope's sliding surface.(2)As the three-dimension sliding body length(L)increases,the stability of 3D slopes(including non-reinforcement slope and slopes reinforced with cables) tends to the stability of 2D slopes.(3)the greater anchorage force of per meter horizontal reinforcement spacing is,the more anchor cable's reinforcement effect on the slope is.
引文
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[13]邓东平.用于三维复杂土坡稳定性分析的滑动面搜索新方法[D].长沙:中南大学,2010.Deng Dongping.A New Method of Searching for Sliding Surfacein Analyzing Stability of Three-Dimensional Complex Slopes.Changsha:Central South University,2010.
[14]罗强.岩质边坡稳定性分析理论与锚固设计优化研究[D].长沙:中南大学,2011.Luo Qiang.Stability Study for Rock Slope and Anchoring Para-metric Analysis.Changsha:Central South University,2011.
[15]邓东平,李亮.基于滑动面搜索新方法对地震作用下边坡稳定性拟静力分析[J].岩石力学与工程学报,2012,31(1):86～98.Deng Dongping,Li Liang.Based on a new method of searchingfoe sliding surface pseudo-static stability analysis of slope analysisof slope under earthquake.Chinese Journal of Rock Mechanicsand Engineering,2012,31(1):86～98.
[16]冯树仁,丰定祥,葛修润,等.边坡稳定性的三维极限平衡分析方法及应用[J].岩土工程学报,1999,21(6):657～661.Feng Shuren,Feng Dingxiang,Ge Xiurun,et al.3D limit equi-librium method for slope stability and its application.ChineseJournal of Geotechnical Engineering,1999,21(6):657～661.
[2]高伟东.加锚边坡的稳定性分析[D].武汉:武汉理工大学,2007.Gao Weidong.Stability Analysis of the Anchored slope.Wuhan:Wuhan University of Technology,2007.
[3]任翔,加固条件下的边坡稳定性计算及其程序化[D].武汉:武汉大学,2005.Ren Xiang.Calculation and Porgramming on Stability of Reinof-cred Slope.Wuhan:Wuhan University,2005.
[4]李新坡,何思明,徐骏,等.预应力锚索加固土质边坡的稳定性极限分析[J].四川大学学报(工程科学版),2006,38(5):82～85.Li Xinpo,He Siming,Xu Jun,et al.Stability analysis of slopesreinforced with pre-tensioned cables by limit analysis method.Journal of Sichuan University(Engineering Science Edition),2006,38(5):82～85.
[5]Huang Xianwu,Mao Xianbiao,Miao Xiexing,et al.Study of slopereinforcement force based on FLAC.Journal of China University ofMining and Technology,2006,16(2):123～127.
[6]夏雄,周德培,肖世国.预应力锚索加固边坡稳定性的有限元评价[J].岩石力学与工程学报,2004,23(增1):4489～4492.Xia Xiong,Zhou Depei,Xiao Shiguo.Fem stability analysis ofslopes reinforced by pre-stressed anchor cable.Chinese Journal ofrock Mechanics and Engineering,2004,23(S1):4489～4492.
[7]高谦,赵静波,吴学民.预应力锚索加固边坡应用及稳定性分析[J].矿业工程,2004,2(3):9～12.Gao Qian,Zhao Jingbo,Wu Xuemin.The application and stabili-ty analysis of pre-stressed anchor rope reinforce slope.Mining En-gineering,2004,2(3):9～12.
[8]吴茂明,阮含婷,刘鹭.预应力锚索在岩土边坡工程治理中的应用[J].岩土工程学报,2010,32(增1):324～326.Wu Maoming,Ruan Hanting,Liu Lu.Application of pre-stressedanchor cables in treatment of geotechnical slopes.Chinese Journalof Geotechnical Engineering,2010,32(S1):324～326.
[9]熊保林,王希良,路春娇.高边坡预应力锚索格子梁加固系统三维有限元分析[J].铁道建筑,2010,16(2):67～70.Xiong Baolin,Wang Xiliang,Lu Chunqiao.Three-dimensionalFem analysis of reinforcement system of anchor lattice beam in highside slope.Railway Engineering,2010,16(2):67～70.
[10]邓东平,李亮,赵炼恒.基于Janbu法的边坡整体稳定性滑动面搜索新方法[J].岩土力学,2011,32(3):891～898.Deng Dongping,Li Liang,Zhao Lianheng.A new method ofsliding surface searching for general stability of slope based onJanbu method.Rock and Soil Mechanics,2011,32(3):891～898.
[11]邓东平,李亮,赵炼恒.一种三维均质土坡滑动面搜索的新方法[J].岩石力学与工程学报,2010,29(增2):3719～3727.Deng Dongping,Li Liang,Zhao Lianheng.A new method tosearch sliding surface of three-dimensional slope.Chinese Journalof Rock Mechanics and Engineering,2010,29(S2):3719～3727.
[12]李亮,邓东平,赵炼恒.任意滑动面搜索新方法应用于三维复杂土坡稳定性分析[J].岩土工程学报,2011,33(4):9～18.Li Liang,Deng Dongping,Zhao Lianheng.Application of a newmethod of arbitrary sliding surface search on stability analysis ofthe complex three-dimensional slope.Chinese Journal of Geotech-nical Engineering,2011,33(4):9～18.
[13]邓东平.用于三维复杂土坡稳定性分析的滑动面搜索新方法[D].长沙:中南大学,2010.Deng Dongping.A New Method of Searching for Sliding Surfacein Analyzing Stability of Three-Dimensional Complex Slopes.Changsha:Central South University,2010.
[14]罗强.岩质边坡稳定性分析理论与锚固设计优化研究[D].长沙:中南大学,2011.Luo Qiang.Stability Study for Rock Slope and Anchoring Para-metric Analysis.Changsha:Central South University,2011.
[15]邓东平,李亮.基于滑动面搜索新方法对地震作用下边坡稳定性拟静力分析[J].岩石力学与工程学报,2012,31(1):86～98.Deng Dongping,Li Liang.Based on a new method of searchingfoe sliding surface pseudo-static stability analysis of slope analysisof slope under earthquake.Chinese Journal of Rock Mechanicsand Engineering,2012,31(1):86～98.
[16]冯树仁,丰定祥,葛修润,等.边坡稳定性的三维极限平衡分析方法及应用[J].岩土工程学报,1999,21(6):657～661.Feng Shuren,Feng Dingxiang,Ge Xiurun,et al.3D limit equi-librium method for slope stability and its application.ChineseJournal of Geotechnical Engineering,1999,21(6):657～661.
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