重力式挡墙加固边坡的动力稳定性分析
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摘要
确定边坡的潜在滑移面及地震屈服加速度,是进行边坡动力稳定性分析的基础。该文把重力式挡墙加固边坡的潜在滑移面看作是由若干段直线组合而成的复合滑移面,并用一系列的斜线把滑体土划分为若干个三角形块体。在假设边坡岩土体服从摩尔-库仑屈服准则,根据极限分析上限定理,结合多块体速度场理论,分别计算各块体外功率与内能耗散,建立地震作用下边坡地震屈服加速度的多元函数,利用数学优化方法,确定边坡地震屈服加速度及其潜在滑移面分布,由此提出一种重力式挡墙加固边坡动力稳定性计算的新方法。最后通过算例进行该方法的展示,分析土体抗剪强度参数和墙体两侧粗糙度对地震屈服加速度及其潜在滑移面分布的影响。
Seismic stability analysis is based on the certain potential sliding surface and the yield acceleration of a slope.The potential sliding surface is considered to be a composite of a number of straight lines,and then the potential sliding mass is divided into a number of triangular wedges by a series of inclined straight lines.By the assumption that the slope material obeys a Mohr-Coulomb criterion,the upper bound method and multi-wedge translations mechanism are used to calculate the rate of external work and the rate of energy dissipation for each triangular wedges,respectively,and so to establish the multivariate function to calculate the yield acceleration of reinforced slope.The yield acceleration and the corresponding potential sliding surface can be obtained by optimization.Thence,a new approach is presented in this study to consider the seismic stability of gravity retaining walls.At last,an example is shown to illustrate the method.The influence of shear strength parameters and wall roughness to the yield acceleration and potential sliding surface are analyzed.
Seismic stability analysis is based on the certain potential sliding surface and the yield acceleration of a slope.The potential sliding surface is considered to be a composite of a number of straight lines,and then the potential sliding mass is divided into a number of triangular wedges by a series of inclined straight lines.By the assumption that the slope material obeys a Mohr-Coulomb criterion,the upper bound method and multi-wedge translations mechanism are used to calculate the rate of external work and the rate of energy dissipation for each triangular wedges,respectively,and so to establish the multivariate function to calculate the yield acceleration of reinforced slope.The yield acceleration and the corresponding potential sliding surface can be obtained by optimization.Thence,a new approach is presented in this study to consider the seismic stability of gravity retaining walls.At last,an example is shown to illustrate the method.The influence of shear strength parameters and wall roughness to the yield acceleration and potential sliding surface are analyzed.
引文
[1]Richards R,Elms D G.Seismic behavior of gravity retaining walls[J].Journal of the Geotechnical Engineering Division,1979,105(4):449―464.
[2]Nadim F,Whitman R V.Seismically induced displacement of retaining walls[J].Journal of Geotechnical Engineering,1983,109(7):915―931.
[3]Zeng X,Steedman R S.Rotating block method for seismic displacement of gravity walls[J].Journal of Geotechnical and Geoenvironmental Engineering,2000,126(8):709―717.
[4]Psarropoulos P N,Klonaris G,Gazetas G.Seismic earth pressures on rigid and flexible retaining walls[J].Soil Dynamics and Earthquake Engineering,2005,25(7):795―805.
[5]Alyami M,Rouainia M,Wilkinson S M.Numerical analysis of deformation behaviour of quay walls under earthquake loading[J].Soil Dynamics and Earthquake Engineering,2009,29(3):525―536.
[6]Kokusho T,Ishizawa T.Energy approach for earthquake induces slope failure evaluation[J].Soil Dynamics and Earthquake Engineering,2006,26(2):221―230.
[7]Kokusho T,Ishizawa T.Energy approach to earthquake-induces slope failure and its implications[J].Journal of Geotechnical and Geoenvironmental Engineering,2007,133(7):828―840.
[8]罗渝,何思明,欧阳朝军,吴永.地震作用下桩锚组合结构加固边坡稳定性分析[J].四川大学学报(工程科学版),2010,42(Suppl 1):93―99.Luo Yu,He Siming,Ouyang Chaojun,Wu Yong.Stability analysis of pile and anchor composite structure reinforced slope under the earthquake loading[J].Journal of Sichuan University(Engineering Science Edition),2010,42(Suppl 1):93―99.(in Chinese)
[9]何思明,张晓曦,欧阳朝军.超前支护桩加固高切坡的静动力响应与永久位移预测研究[J].四川大学学报(工程科学版),2010,42(5):127―133.He Siming,Zhang Xiaoxi,Ouyang Chaojun.Static-dynamic response and permanent displacement forecast for high cutting slope pre-reinforced by pile[J].Journal of Sichuan University(Engineering Science Edition),2010,42(5):127―133.(in Chinese)
[10]Li Xinpo,Wu Yong,He Siming.Seismic stability analysis of gravity retaining walls[J].Soil Dynamics and Earthquake Engineering,2010,30(10):875―878.
[11]Donald I,Chen Z Y.Slope stability analysis by the upper bound approach:Fundamentals and methods[J].Canadian Geotechnical Journal,1997,34(6):853―862.
[12]Soubra A H.Upper-bound solutions for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59―68.
[13]陈惠发.极限分析与土体塑性[M].北京.人民交通出版社,1995:28―60.Chen W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975:28―60.
[14]何思明,张晓曦,欧阳朝军.基于非线性破坏准则超前支护桩加固高切坡的静动稳定分析[J].工程力学,2011,28(12):119―125.He Siming,Zhang Xiaoxi,Ouyang Chaojun.Static-dynamic stability of pre-piled for high cutting slope with nonlinear failure criterion[J].Engineering Mechanics,2011,28(12):119―125.(in Chinese)
[15]何思明,吴永,李新坡.强震荷载下裂缝岩体拉剪破坏机理[J].工程力学,2012,29(4):178―184.He Siming,Wu Yong,Li Xinpo.Failure mechanism of dangerous rock under seismic tension-shear action[J].Engineering Mechanics,2012,29(4):178―184.(in Chinese)
[16]杨小礼,李亮,刘宝琛.非线性破坏准则对被动土压力的影响[J].工程力学,2004,21(1):31―36.Yang Xiaoli,Li Liang,Liu Baochen.Influences of a nonlinear failure criterion on passive earth pressure[J].Engineering Mechanics,2004,21(1):31―36.(in Chinese)
[2]Nadim F,Whitman R V.Seismically induced displacement of retaining walls[J].Journal of Geotechnical Engineering,1983,109(7):915―931.
[3]Zeng X,Steedman R S.Rotating block method for seismic displacement of gravity walls[J].Journal of Geotechnical and Geoenvironmental Engineering,2000,126(8):709―717.
[4]Psarropoulos P N,Klonaris G,Gazetas G.Seismic earth pressures on rigid and flexible retaining walls[J].Soil Dynamics and Earthquake Engineering,2005,25(7):795―805.
[5]Alyami M,Rouainia M,Wilkinson S M.Numerical analysis of deformation behaviour of quay walls under earthquake loading[J].Soil Dynamics and Earthquake Engineering,2009,29(3):525―536.
[6]Kokusho T,Ishizawa T.Energy approach for earthquake induces slope failure evaluation[J].Soil Dynamics and Earthquake Engineering,2006,26(2):221―230.
[7]Kokusho T,Ishizawa T.Energy approach to earthquake-induces slope failure and its implications[J].Journal of Geotechnical and Geoenvironmental Engineering,2007,133(7):828―840.
[8]罗渝,何思明,欧阳朝军,吴永.地震作用下桩锚组合结构加固边坡稳定性分析[J].四川大学学报(工程科学版),2010,42(Suppl 1):93―99.Luo Yu,He Siming,Ouyang Chaojun,Wu Yong.Stability analysis of pile and anchor composite structure reinforced slope under the earthquake loading[J].Journal of Sichuan University(Engineering Science Edition),2010,42(Suppl 1):93―99.(in Chinese)
[9]何思明,张晓曦,欧阳朝军.超前支护桩加固高切坡的静动力响应与永久位移预测研究[J].四川大学学报(工程科学版),2010,42(5):127―133.He Siming,Zhang Xiaoxi,Ouyang Chaojun.Static-dynamic response and permanent displacement forecast for high cutting slope pre-reinforced by pile[J].Journal of Sichuan University(Engineering Science Edition),2010,42(5):127―133.(in Chinese)
[10]Li Xinpo,Wu Yong,He Siming.Seismic stability analysis of gravity retaining walls[J].Soil Dynamics and Earthquake Engineering,2010,30(10):875―878.
[11]Donald I,Chen Z Y.Slope stability analysis by the upper bound approach:Fundamentals and methods[J].Canadian Geotechnical Journal,1997,34(6):853―862.
[12]Soubra A H.Upper-bound solutions for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59―68.
[13]陈惠发.极限分析与土体塑性[M].北京.人民交通出版社,1995:28―60.Chen W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975:28―60.
[14]何思明,张晓曦,欧阳朝军.基于非线性破坏准则超前支护桩加固高切坡的静动稳定分析[J].工程力学,2011,28(12):119―125.He Siming,Zhang Xiaoxi,Ouyang Chaojun.Static-dynamic stability of pre-piled for high cutting slope with nonlinear failure criterion[J].Engineering Mechanics,2011,28(12):119―125.(in Chinese)
[15]何思明,吴永,李新坡.强震荷载下裂缝岩体拉剪破坏机理[J].工程力学,2012,29(4):178―184.He Siming,Wu Yong,Li Xinpo.Failure mechanism of dangerous rock under seismic tension-shear action[J].Engineering Mechanics,2012,29(4):178―184.(in Chinese)
[16]杨小礼,李亮,刘宝琛.非线性破坏准则对被动土压力的影响[J].工程力学,2004,21(1):31―36.Yang Xiaoli,Li Liang,Liu Baochen.Influences of a nonlinear failure criterion on passive earth pressure[J].Engineering Mechanics,2004,21(1):31―36.(in Chinese)
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