地震荷载作用下土钉支护边坡稳定性拟静力分析
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摘要
在极限平衡分析框架内,使用滑动面搜索新方法和圆弧滑动面方法对地震作用下的土钉支护边坡进行稳定性分析。考虑地震作用时,采用拟静力分析方法,并根据不同的条分模式,推导出水平地震动态分布系数的计算公式。针对地震效应下圆弧滑动面竖直条分法的不足,采用水平和竖直条分法相结合的改进方式。通过算例对比分析,并研究土钉支护间距与不同地震烈度条件下土钉长度的变化对边坡静力和动力稳定性的影响,结果表明,滑动面搜索新方法计算得的最小安全系数与圆弧滑动面方法的计算结果颇为接近,且比以往研究成果要小,可说明滑动面搜索新方法的可行性;在土钉支护边坡的静力和动力稳定性分析中,滑动面搜索新方法计算得的临界滑动面与临界圆弧滑动面接近,但表现出非圆弧特性;在一定程度上可减小土钉支护间距和增大土钉长度,可有效地改善土钉支护边坡在地震作用下的稳定性。
In the framework of limit equilibrium analysis,stability of slope protected by soil nailing is analyzed by using a new method of searching for sliding surface and circular sliding surface method.When considering earthquake,pseudo static method is adopted.Then,according to different modes of slice,a formula of calculating dynamic distribution coefficient of horizontal seism is derived.Aiming at the shortage of vertical slice method of circular sliding surface under earthquake,the mode of combining horizontal slice method with vertical slice method is used.Through analyzing examples and studying the effect of space change of soil nailing and length of soil nailing under different earthquake intensities on the static and dynamic stabilities of slope protected by soil nailing,some conclusions are obtained.The minimum factor of safety(FOS) calculated by new method is quite close to that calculated by circular sliding surface method,and is also smaller than previous results,so it shows that the new method of searching for sliding surface is feasible.In analyzing the static and dynamic stabilities of slope protected by soil nailing,the critical sliding surfaces got by the new method is close to the those got by critical circular sliding surfaces,but they perform the characteristics of non-circular feature.Reducing space of soil nailing and increasing length of soil nailing to a certain degree can effectively improve stability of slope protected by soil nailing under earthquake.
In the framework of limit equilibrium analysis,stability of slope protected by soil nailing is analyzed by using a new method of searching for sliding surface and circular sliding surface method.When considering earthquake,pseudo static method is adopted.Then,according to different modes of slice,a formula of calculating dynamic distribution coefficient of horizontal seism is derived.Aiming at the shortage of vertical slice method of circular sliding surface under earthquake,the mode of combining horizontal slice method with vertical slice method is used.Through analyzing examples and studying the effect of space change of soil nailing and length of soil nailing under different earthquake intensities on the static and dynamic stabilities of slope protected by soil nailing,some conclusions are obtained.The minimum factor of safety(FOS) calculated by new method is quite close to that calculated by circular sliding surface method,and is also smaller than previous results,so it shows that the new method of searching for sliding surface is feasible.In analyzing the static and dynamic stabilities of slope protected by soil nailing,the critical sliding surfaces got by the new method is close to the those got by critical circular sliding surfaces,but they perform the characteristics of non-circular feature.Reducing space of soil nailing and increasing length of soil nailing to a certain degree can effectively improve stability of slope protected by soil nailing under earthquake.
引文
[1] 董建华，朱彦鹏．地震作用下土钉支护边坡稳定性计算方法[J)．振动与冲击，2009，28(3)：119-204．DONG Jian-hua, ZHU Yan-peng. Stability calculationmethod of a soil side-slope protected by soil nailing underearthquake[J]. Journal of Vibration and Shock, 2009,28(3): 119-204.
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[11] 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- 898DENG Dong-ping, LI Liang, ZHAO Lian-heng. A newmethod of sliding surface searching for general stabilityof slope based on Janbu method[J]. Rock and SoilMechanics, 2011, 32(3): 891-898.
[12] 邓东平，李亮，赵炼恒．Excel在边坡稳定性分析中的 应用[J]．岩土工程技术，2009，23(6)：304-308．DENG Dong-ping, LI Liang, ZHAO Lian-heng. Theapplication of Excel in slope stability analysis[J].Geotechnical Engineering Technique, 2009, 23(6): 304
[2] 陈昌富，杨宇，龚晓南．基于遗传算法地震荷载作用下边坡稳定性分析水平条分法LJ)．岩石力学与工程学报，2003，22(11)：1919-1923．CHEN Chang-fu, YANG Yu, GONG Xiao-nan.Horizontal slice method of slope stability analysis underseismic load based on genetic algorithm[J]. ChineseJournal of Rock Mechanics and Engineering, 2003,22(11): 1919-1923.
[3] 王志斌，李亮，杨小礼，等．水平条分法在贴坡高填方路堤稳定性分析中的应用[J]．中国公路学报，2007，20(3)：29-34．WANG Zhi-bin, LI Liang, YANG Xiao-li, et al. Applicationof horizontal slice method in stability analysis of high fillembankments at slope[J]. China Journal of Highway andTransport, 2007, 20(3): 29-34.
[4] 王丽萍，张嘎，张建民．土钉加固黏性土坡动力离心模型试验研究[J]．岩石力学与工程学报，2009，28(6)：1226-1230．WANG Li-ping, ZHANG Go, ZHANG Jian-min.Dynamic centrifuge modeling test of cohesive soil slopesreinforced with soil nailing[J]. Chinese Journal of RockMechanics and Engineering, 2009, 28(6): 1226-1230.
[5] 董建华，朱彦鹏.地震作用下土钉支护边坡稳定性分 析[J]．中国公路学报，2008，21(6)：20-25.DONG Jian-hua, ZHU Yan-peng. Stability analysis ofslope supported by soil nailing retaining wall underearthquake[J]. China Journal of Highway andTransport, 2008, 21(6): 20-25.
[6] 朱彦鹏，董建华．土钉支护边坡动力模型的建立及地 震响应分析[J].岩土力学，2010，31(4)：1013-1022．ZHU Yan-peng, DONG Jian-hua. Dynamic calculationmodel and seismic response for slope protected by soilnailing under earthquake[J]. Rock and Soil Mechanics,2010, 31(4): 1013-1022.
[7] 中华人民共和国行业标准．SL203-97水工建筑物抗震 设计规范[S]．北京：中国水利水电出版社，1997．
[8] 殷宗泽．土工原理[M]．北京：中国水利水电出版社， 2007．
[9] 周福霖．工程结构减震控制[M]．北京：地震出版社， 1997．
[10] 陈祖煜．土质边坡稳定性分析——原理、方法、程序[M]．北京：中国水利水电出版社，2003．
[11] 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- 898DENG Dong-ping, LI Liang, ZHAO Lian-heng. A newmethod of sliding surface searching for general stabilityof slope based on Janbu method[J]. Rock and SoilMechanics, 2011, 32(3): 891-898.
[12] 邓东平，李亮，赵炼恒．Excel在边坡稳定性分析中的 应用[J]．岩土工程技术，2009，23(6)：304-308．DENG Dong-ping, LI Liang, ZHAO Lian-heng. Theapplication of Excel in slope stability analysis[J].Geotechnical Engineering Technique, 2009, 23(6): 304
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