基于地震力作用下的黄土边坡稳定性分析
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摘要
为研究地震力作用下黄土边坡的稳定性,根据地震角将地震力分解为水平地震力和竖向地震力。引入均方根加速度表征地震振幅大小,结合地震波加速度反应谱,分别计算出1/4持时、1/3持时及1/2持时的均方根加速度,并利用正弦函数曲线换算出水平和竖向地震力。建立黄土边坡失稳破坏模型,计算出不同持时及地震力偏角条件下的安全稳定系数。计算结果表明,考虑地震荷载特征的边坡安全稳定系数介于最小安全系数法和拟静力法计算结果之间,其中地震力偏角较持时对边坡稳定性的影响较大,以水平方向作为地震力作用方向,会对边坡稳定性产生过高的安全估计。
In order to research the stability of loess slope under the effect of earthquake force,earthquake force is decomposed into horizontal and vertical forces according to earthquake angle.Combining with the acceleration response spectrum of earthquake wave,root mean square of acceleration under the conditions of 1 /4,1 /3 and 1 /2 duration are calculated,which are used to denote the amplitude of earthquake.The horizontal and vertical earthquake forces are obtained by using the curve of sinusoidal function.The sliding instability model of loess slope is built,and the safety and stability coefficients under the condition of different durations and angles of earthquake force are calculated.The calculation results show that(1) the safety and stability coefficients,which takes into account the characteristic of earthquake load,is greater than that obtained by method of minimum safety coefficient and less than that calculated by quasi-static method,the influence of drift angle of earthquake force is greater than the influence of duration on slope stability;(2) if we take horizontal direction as orientation of earthquake force,overestimation of safety will be produced on slope stability.
In order to research the stability of loess slope under the effect of earthquake force,earthquake force is decomposed into horizontal and vertical forces according to earthquake angle.Combining with the acceleration response spectrum of earthquake wave,root mean square of acceleration under the conditions of 1 /4,1 /3 and 1 /2 duration are calculated,which are used to denote the amplitude of earthquake.The horizontal and vertical earthquake forces are obtained by using the curve of sinusoidal function.The sliding instability model of loess slope is built,and the safety and stability coefficients under the condition of different durations and angles of earthquake force are calculated.The calculation results show that(1) the safety and stability coefficients,which takes into account the characteristic of earthquake load,is greater than that obtained by method of minimum safety coefficient and less than that calculated by quasi-static method,the influence of drift angle of earthquake force is greater than the influence of duration on slope stability;(2) if we take horizontal direction as orientation of earthquake force,overestimation of safety will be produced on slope stability.
引文
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[7]刘红帅,薄景山,刘德东.岩土边坡地震稳定性分析研究评述[J].地震工程与工程振动,2005,25(1):164-171.LIU Hong-shuai,BO Jing-shan,LIU De-dong.Review on Study of Seismic Stability Analysis of Rock-soil Slopes[J].Earthquake Engineering and Engineering Vibration,2005,25(1):164-171.
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[11]王凤山,吴华杰,卢厚清,等.基于DEA的地震作用下岩石边坡工程整体安全风险分析[J].地下空间与工程学报,2011,7(4):789-794.WANG Feng-shan,WU Hua-jie,LU Hou-qing,et al.Risk Analysis about Comprehensive Safety of Earthquakedamaged Rock Slope Engineering Based on DEA Model[J].Chinese Journal of Underground Space and Engineering,2011,7(4):789-794.
[12]吕擎峰,殷宗泽,王叔华,等.拟静力法边坡稳定分析的改进[J].岩土力学,2005,26(增):35-38.LQing-feng,YIN Zong-ze,WANG Shu-hua,et a1.Improvement of Pseudo-static Method for Slope Stability Analysis[J].Rock and Soil Mechanics,2005,26(S):35-38.
[13]李海波,肖克强,刘亚群.地震荷载作用下顺层岩质边坡安全系数分析[J].岩石力学与工程学报,2007,26(12):2385-2394.LI Hai-bo,XIAO Ke-qiang,LIU Ya-qun.Factor of Safety Analysis of Bedding Rock Slope under Seismic Load[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2385-2394.
[2]阮永芬,潘文,费维水,等.高填土路堤边坡地震稳定性静动力法比较分析[J].公路交通科技,2006,23(4):41-45.RUAN Yong-fen,PAN Wen,FEI Wei-shui,et al.Comparative Analysis of Earthquake Stability of High Fill Embankment by Static&Dynamic Method[J].Journal of Highway and Transportation Research and Development,2006,23(4):41-45.
[3]张立,付宏渊,付康林,等.汶川地震诱发边坡动力失稳影响因素分析[J].公路交通科技,2011,28(4):12-18.ZHANG Li,FU Hong-yuan,FU Kang-lin,et al.Analysis on Influencing Factors of Slope Dynamic Stability Induced by Wenchuan Earthquake[J].Journal of Highway and Transportation Research and Development,2011,28(4):12-18.
[4]王根龙,张军慧,李巨文,等.公路岩质边坡稳定性评价的能量法研究[J].公路交通科技,2009,26(12):1-6.WANG Gen-long,ZHANG Jun-hui,LI Ju-wen,et al.Study on Energy Method for Estimation of Highway Rock Slope Stability[J].Journal of Highway and Transportation Research and Development,2009,26(12):1-6.
[5]王芳容,地震力偏角对斜坡岩体稳定的影响[J]水文地质工程地质,1990,6:36-38,46.WANG Fang-rong.Influence of Drift Angle of Seismic Forces on Slope Stability of Rock Mass[J].Hydrogeology and Engineering Geology,1990(6):36-38,46.
[6]庄乐和,考虑到地震力偏角的土坡滑动可能性的计算[C]∥.岩土力学数值方法的工程应用:第二届全国岩石力学数值计算与模型实验学术研讨会论文集.上海:同济大学出版社,1990:246-253.ZHUANG Le-he.Possibility Calculation of Slope Slide Taking into Account of Deflection Angle of Earthquake Force[C]∥Engineering Application of Rock and Soil Mechanics Numerical Method:Proceedings of the 2nd National Conference on Numerical Calculation and Model Experiment of Rock Mechanics.Shanghai:Tongji University Press,1990:246-253.
[7]刘红帅,薄景山,刘德东.岩土边坡地震稳定性分析研究评述[J].地震工程与工程振动,2005,25(1):164-171.LIU Hong-shuai,BO Jing-shan,LIU De-dong.Review on Study of Seismic Stability Analysis of Rock-soil Slopes[J].Earthquake Engineering and Engineering Vibration,2005,25(1):164-171.
[8]尹紫红.地震作用下的高速公路滑坡稳定性分析[J].重庆工学院学报:自然科学版,2007,21(9):92 -95.YIN Zi-hong.Analysis on the Stability of Superhighway Landslide in Earthquakes[J].Journal of Chongqing Institute of Technology:Natural Science Edition,2007,21 (9):92-95.
[9]陈念英,曾敦弟.再论竖向地震力及其震害[J].成都大学学报:自然科学版,1998,17(2):47-50.CHEN Nian-ying,ZENG Dun-di.Further Discussion on the Vertical Seismic Force and Seismic Damage[J].Chengdu University:Natural Science Edition,1998,17(2):47-50.
[10]于玉贞,邓丽军,李荣建.砂土边坡地震动力响应离心模型试验[J].清华大学学报:自然科学版,2007,47 (6):789-792.YU Yu-zhen,DENG Li-jun,LI Rong-jian.Centrifuge Model Test of the Seismic Response Behavior of a Sand Slope[J].Journal of Tsinghua University:Science and Technology Edition,2007,47(6):789-792.
[11]王凤山,吴华杰,卢厚清,等.基于DEA的地震作用下岩石边坡工程整体安全风险分析[J].地下空间与工程学报,2011,7(4):789-794.WANG Feng-shan,WU Hua-jie,LU Hou-qing,et al.Risk Analysis about Comprehensive Safety of Earthquakedamaged Rock Slope Engineering Based on DEA Model[J].Chinese Journal of Underground Space and Engineering,2011,7(4):789-794.
[12]吕擎峰,殷宗泽,王叔华,等.拟静力法边坡稳定分析的改进[J].岩土力学,2005,26(增):35-38.LQing-feng,YIN Zong-ze,WANG Shu-hua,et a1.Improvement of Pseudo-static Method for Slope Stability Analysis[J].Rock and Soil Mechanics,2005,26(S):35-38.
[13]李海波,肖克强,刘亚群.地震荷载作用下顺层岩质边坡安全系数分析[J].岩石力学与工程学报,2007,26(12):2385-2394.LI Hai-bo,XIAO Ke-qiang,LIU Ya-qun.Factor of Safety Analysis of Bedding Rock Slope under Seismic Load[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2385-2394.
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