基于通用条分原理的锚框支护边坡地震动力稳定分析
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摘要
考虑水平地震力作用与锚框支护作用,分析微分形式的土条受力平衡,推导积分形式的滑体极限平衡,编程搜索求解相应方程组,提出一套基于通用条分原理的锚框支护边坡地震动力稳定分析方法。利用本文所述方法与数值模拟方法,分别计算了某高速公路锚框支护边坡的动力稳定安全系数,两者结果基本相同。进一步探讨了平均锚固力和地震作用系数对该边坡动力稳定安全系数的影响。本文所述基于通用条分原理的锚框支护边坡地震动力稳定分析方法,具有考虑因素全面、计算工作量小的优点,能够为边坡工程的初步设计,包括坡形设计、锚杆优化、抗震验算等,提供一种较为准确的简便计算手段。
Considering the horizontal seismic action and the anchor-frame reinforcement,we propose a seismic stability analysis method on the basis of general slice principle for the anchor-frame reinforced slope. The equilibrium of single slice in differential form is analyzed firstly. Then the limit equilibrium equations of sliding body in integral form are deduced. Finally the equations are solved with programming of ergodic searching. Taking the anchor-frame reinforced slope on an expressway as a prototype,both of the proposed analysis method and the numerical simulation method are used to calculate the safety factor of slope under the designed seismic action. The results calculated by these two methods fit each other well,which implies the validity of the proposed method. We also discuss the influences of average anchoring force and seismic action coefficient on the safety factor of seismic stability. The proposed analysis method associated with the general slice principle can provide an efficient means not only for the seismic stability analysis,but also for the preliminary design of anchor-frame reinforced slope.
Considering the horizontal seismic action and the anchor-frame reinforcement,we propose a seismic stability analysis method on the basis of general slice principle for the anchor-frame reinforced slope. The equilibrium of single slice in differential form is analyzed firstly. Then the limit equilibrium equations of sliding body in integral form are deduced. Finally the equations are solved with programming of ergodic searching. Taking the anchor-frame reinforced slope on an expressway as a prototype,both of the proposed analysis method and the numerical simulation method are used to calculate the safety factor of slope under the designed seismic action. The results calculated by these two methods fit each other well,which implies the validity of the proposed method. We also discuss the influences of average anchoring force and seismic action coefficient on the safety factor of seismic stability. The proposed analysis method associated with the general slice principle can provide an efficient means not only for the seismic stability analysis,but also for the preliminary design of anchor-frame reinforced slope.
引文
Chen Z Y.2005.Rock slope stability analysis[M].Beijing:China Water&Power Press.
Chen Z Y.2013.Soil slope stability analysis[M].Beijing:China Water&Power Press.
Deng D P,Li L.2012a.Based on a new method of searching for sliding surface pseudo-static stability analysis of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,31(1):86-98.
Deng D P,Li L,Luo W.2012b.Stability analysis of slope protected by soil nailing under earthquake loads based on pseudo static method[J].Rock and Soil Mechanics,33(6):1787-1794.
Gao Y F,Fan S P.2010.Generalized slice method for stability analysis of slope with non-circular slide face under multipoint and multidirection seismic ground motions[J].Rock and Soil Mechanics,31(12):3816-3822.
Guang Z C,Liao C H,Gong Z F,et al.2017.Seismic response of dual structure slope based on shaking table model test[J].Journal of Engineering Geology,25(1):139-146.
Huang R Q.2009.Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0 earthquake[J].Chinese Journal of Rock Mechanics and Engineering,28(6):1239-1249.
Liu M X,Liu E L,Zhang S S,et al.2016.Numerical investigation of dynamic response and instability mechanism for dangerous rock mass slope under earthquake loads[J].Journal of Engineering Geology,24(2):187-196.
Liu Z Z,Yan Z X.2016.Limit equilibrium slice method for unsaturated clay slope under rainfall infiltration[J].Rock and Soil Mechanics,37(2):350-356.
LüQ F,Yin Z Z,Wang S H,et al.2005.Improvement of pseudo-static method for slope stability analysis[J].Rock and Soil Mechanics,26(S1):35-38.
Mehdipour I,Ghazavi M,Moayed R Z.2017.Stability analysis of geocellreinforced slopes using the limit equilibrium horizontal slice method[J].International Journal of Geomechanics,17(9):1-15.
Nouri H,Fakher A,Jones C J F P.2008.Evaluating the effects of the magnitude and amplification of pseudo-static acceleration on reinforced soil slopes and walls using the limit equilibrium horizontal slices method[J].Geotextiles and Geomembranes,26(3):263-278.
Qi S W,Xu Q,Zhang B,et al.2011.Source characteristics of long runout rock avalanches triggered by the 2008 Wenchuan earthquake China[J].Journal of Asian Earth Sciences,40(4):896-906.
Reddy G V N,Madhav M R,Reddy E S.2008.Pseudo-static seismic analysis of reinforced soil wall:effect of oblique displacement[J].Geotextiles and Geomembranes,26(5):393-403.
Sarbishei S,Fakher A.2012.Energy-based horizontal slice method for pseudo-static analysis of reinforced walls[J].Geosynthetics International,19(5):370-384.
Sun J P,Gu H Y,Hu G B,et al.2017.An improved minimum potential energy method for slope stability analysis under action of bolt[J].Rock and Soil Mechanics,38(S1):291-298.
Wang X D,Dai F C,Huang Z Q.2014.Realization of automated searching by gis for most dangerous slip surface of reservoir bank slope based on swedish slice method[J].Chinese Journal of Rock Mechanics and Engineering,33(S1):3129-3134.
Wu S J,Jiang Y J,Deng T,et al.2017.Seismic responses of weak interlayered slope with anchor-frame reinforcement using model slope on shaking table[J].Journal of Engineering Geology,25(4):1065-1072.
陈祖煜.2005.岩质边坡稳定分析[M].北京:中国水利水电出版社.
陈祖煜.2013.土质边坡稳定分析[M].北京:中国水利水电出版社.
邓东平,李亮.2012a.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,31(1):86-98.
邓东平,李亮,罗伟.2012b.地震荷载作用下土钉支护边坡稳定性拟静力分析[J].岩土力学,33(6):1787-1794.
高玉峰,范昭平.2010.多点、多向地震作用下非圆弧滑面边坡稳定分析通用条分法[J].岩土力学,31(12):3816-3822.
关振长,廖重辉,龚振峰,等.2017.基于振动台模型试验的二元结构边坡地震动力响应研究[J].工程地质学报,25(1):139-146.
黄润秋.2009.汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J].岩石力学与工程学报,28(6):1239-1249.
刘明星,刘恩龙,张世殊,等.2016.地震荷载作用下危岩体边坡动力响应及失稳机理探讨[J].工程地质学报,24(2):187-196.
刘子振,言志信.2016.降雨入渗非饱和黏土边坡稳定性的极限平衡条分法研究[J].岩土力学,37(2):350-356.
吕擎峰,殷宗泽,王叔华,等.2005.拟静力法边坡稳定分析的改进[J].岩土力学,26(S1):35-38.
孙加平,顾厚煜,胡国保,等.2017.锚杆作用下边坡稳定分析中改进最小势能法研究[J].岩土力学,38(S1):291-298.
王小东,戴福初,黄志全.2014.基于瑞典条分法进行水库岸坡最危险滑动面自动搜索的GIS实现[J].岩石力学与工程学报,33(S1):3129-3134.
吴尚杰,蒋宇静,邓涛,等.2017.含软弱夹层锚框支护边坡的地震响应研究[J].工程地质学报,25(4):1065-1072.
Chen Z Y.2013.Soil slope stability analysis[M].Beijing:China Water&Power Press.
Deng D P,Li L.2012a.Based on a new method of searching for sliding surface pseudo-static stability analysis of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,31(1):86-98.
Deng D P,Li L,Luo W.2012b.Stability analysis of slope protected by soil nailing under earthquake loads based on pseudo static method[J].Rock and Soil Mechanics,33(6):1787-1794.
Gao Y F,Fan S P.2010.Generalized slice method for stability analysis of slope with non-circular slide face under multipoint and multidirection seismic ground motions[J].Rock and Soil Mechanics,31(12):3816-3822.
Guang Z C,Liao C H,Gong Z F,et al.2017.Seismic response of dual structure slope based on shaking table model test[J].Journal of Engineering Geology,25(1):139-146.
Huang R Q.2009.Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0 earthquake[J].Chinese Journal of Rock Mechanics and Engineering,28(6):1239-1249.
Liu M X,Liu E L,Zhang S S,et al.2016.Numerical investigation of dynamic response and instability mechanism for dangerous rock mass slope under earthquake loads[J].Journal of Engineering Geology,24(2):187-196.
Liu Z Z,Yan Z X.2016.Limit equilibrium slice method for unsaturated clay slope under rainfall infiltration[J].Rock and Soil Mechanics,37(2):350-356.
LüQ F,Yin Z Z,Wang S H,et al.2005.Improvement of pseudo-static method for slope stability analysis[J].Rock and Soil Mechanics,26(S1):35-38.
Mehdipour I,Ghazavi M,Moayed R Z.2017.Stability analysis of geocellreinforced slopes using the limit equilibrium horizontal slice method[J].International Journal of Geomechanics,17(9):1-15.
Nouri H,Fakher A,Jones C J F P.2008.Evaluating the effects of the magnitude and amplification of pseudo-static acceleration on reinforced soil slopes and walls using the limit equilibrium horizontal slices method[J].Geotextiles and Geomembranes,26(3):263-278.
Qi S W,Xu Q,Zhang B,et al.2011.Source characteristics of long runout rock avalanches triggered by the 2008 Wenchuan earthquake China[J].Journal of Asian Earth Sciences,40(4):896-906.
Reddy G V N,Madhav M R,Reddy E S.2008.Pseudo-static seismic analysis of reinforced soil wall:effect of oblique displacement[J].Geotextiles and Geomembranes,26(5):393-403.
Sarbishei S,Fakher A.2012.Energy-based horizontal slice method for pseudo-static analysis of reinforced walls[J].Geosynthetics International,19(5):370-384.
Sun J P,Gu H Y,Hu G B,et al.2017.An improved minimum potential energy method for slope stability analysis under action of bolt[J].Rock and Soil Mechanics,38(S1):291-298.
Wang X D,Dai F C,Huang Z Q.2014.Realization of automated searching by gis for most dangerous slip surface of reservoir bank slope based on swedish slice method[J].Chinese Journal of Rock Mechanics and Engineering,33(S1):3129-3134.
Wu S J,Jiang Y J,Deng T,et al.2017.Seismic responses of weak interlayered slope with anchor-frame reinforcement using model slope on shaking table[J].Journal of Engineering Geology,25(4):1065-1072.
陈祖煜.2005.岩质边坡稳定分析[M].北京:中国水利水电出版社.
陈祖煜.2013.土质边坡稳定分析[M].北京:中国水利水电出版社.
邓东平,李亮.2012a.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,31(1):86-98.
邓东平,李亮,罗伟.2012b.地震荷载作用下土钉支护边坡稳定性拟静力分析[J].岩土力学,33(6):1787-1794.
高玉峰,范昭平.2010.多点、多向地震作用下非圆弧滑面边坡稳定分析通用条分法[J].岩土力学,31(12):3816-3822.
关振长,廖重辉,龚振峰,等.2017.基于振动台模型试验的二元结构边坡地震动力响应研究[J].工程地质学报,25(1):139-146.
黄润秋.2009.汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J].岩石力学与工程学报,28(6):1239-1249.
刘明星,刘恩龙,张世殊,等.2016.地震荷载作用下危岩体边坡动力响应及失稳机理探讨[J].工程地质学报,24(2):187-196.
刘子振,言志信.2016.降雨入渗非饱和黏土边坡稳定性的极限平衡条分法研究[J].岩土力学,37(2):350-356.
吕擎峰,殷宗泽,王叔华,等.2005.拟静力法边坡稳定分析的改进[J].岩土力学,26(S1):35-38.
孙加平,顾厚煜,胡国保,等.2017.锚杆作用下边坡稳定分析中改进最小势能法研究[J].岩土力学,38(S1):291-298.
王小东,戴福初,黄志全.2014.基于瑞典条分法进行水库岸坡最危险滑动面自动搜索的GIS实现[J].岩石力学与工程学报,33(S1):3129-3134.
吴尚杰,蒋宇静,邓涛,等.2017.含软弱夹层锚框支护边坡的地震响应研究[J].工程地质学报,25(4):1065-1072.
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