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
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摘要
在地震边坡稳定性分析当中,往往采用单点地震动输入,但实际地震动是随着时间和空间变化的。为了研究边坡在多点、多向地震作用下的稳定性,地震动输入采用考虑地震动的空间时间变化特性的人工合成多点、多向地震动,并将之转化为作用于边坡上的多点、多向地震荷载,在陈祖煜院士所提出的通用条分法的基础之上,推导了适用于任意形状滑面、即满足力的平衡又满足力矩平衡的多点、多向地震作用下边坡稳定通用条分法的极限平衡微分方程,并给出了求解动力安全系数的方法,通过两个算例验证了方法的可行性。
The uniform seismic ground motion is usually emloyed to analyze the slope stability under earthquake. But in fact the seismic ground motions are varied with time and space. The slope stability under multipoint and multidirection seismic ground motions is an important topic. Based on the generalized slice method of the forces and the moments equilibrium the limit equilibrium equations of slope under multipoint and multidirection are derived; and the method to solve the dynamic safety factor is given. In this derivation,the seismic ground motions under each slice of slope are varied with time and space; and the horizontal ground motions are not fully incoherence with the vertical ones. Finally,two examples are analyzed to verify this method feasibility.
The uniform seismic ground motion is usually emloyed to analyze the slope stability under earthquake. But in fact the seismic ground motions are varied with time and space. The slope stability under multipoint and multidirection seismic ground motions is an important topic. Based on the generalized slice method of the forces and the moments equilibrium the limit equilibrium equations of slope under multipoint and multidirection are derived; and the method to solve the dynamic safety factor is given. In this derivation,the seismic ground motions under each slice of slope are varied with time and space; and the horizontal ground motions are not fully incoherence with the vertical ones. Finally,two examples are analyzed to verify this method feasibility.
引文
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[15]吴兆营,薄景山,刘红帅,等.岩体边坡地震稳定性动安全系数分析方法[J].防灾减灾工程学报,2004,24(3):237-241.WU Zhao-ying,BO Jing-shan,LIU Hong-shuai,et al.A method for evaluating dynamic safety factor rock slope seismic stability analysis[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(3):237-241.
[16]刘汉龙,费康,高玉峰.边坡地震稳定性时程分析方法[J].岩土力学,2003,24(4):553-556,560.LIU Han-long,FEI Kang,GAO Yu-feng.Time history analysis method of slope seismic stability[J].Rock and Soil Mechanics,2003,24(4):553-556,560.
[2]张立海,张业成,刘向东.中国地震次生地质灾害分布及地市级危险性区划研究[J].防灾减灾工程学报,2009,29(3):356-360.ZHANG Li-hai,ZHANG Ye-cheng,LIU Xiang-dong.Study on distribution of earthquake secondary geological hazards in China and on their regionalization at city-level[J].Journal of Disaster Prevention and Mitigation Engineering,2009,29(3):356-360.
[3]高志兵,陶小三,孔建国,等.北川县城汶川地震震害特征及其成因探讨[J].防灾减灾工程学报,2009,29(1):51-56.GAO Zhi-bing,TAO Xiao-san,KONG Jian-guo,et al.Study on characteristics and cause of damages to the downtown of Beichuan county due to Wenchuan earthquake[J].Journal of Disaster Prevention and Mitigation Engineering,2009,29(1):51-56.
[4]黄润秋.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,2009,28(6):1239-1249.HUANG Run-qiu.Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan8.0earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(6):1239-1249.
[5]王君杰.多点多维地震动随机模型及结构的反应谱分析方法[D].哈尔滨:国家地震局工程力学研究所,1995.
[6]MORGENSTERN R N,PRICE V E.The analysis of thestability of general slip surface[J].Geotechnique,1965,15(1):79-93.
[7]SPEMCER E.A method of analysis of embankments assuming parallel inter-slice forces[J].Geotechnique,1967,17(1):11-26.
[8]JANBU N.Slope stability computations[M].New York:John Willey and Sons,1973:47-86.
[9]陈祖煜.土坡稳定分析通用条分法及其改进[J].岩土工程学报,1983,5(4):11-27.CHEN Zu-yu.Extensions to the generalized method of slices for stability analysis[J].Chinese Journal of Geotechnical Engineering,1983,5(4):11-27.
[10]陈祖煜.土质边坡稳定分析、原理.方法、程序[M].北京:中国水利水电出版社,2003.
[11]屈铁军,王前信.空间相关的多点地震动合成(I)基本公式[J].地震工程与工程振动,1998,18(1):8-15.QU Tie-jun,WANG Qian-xin.Simulation of spatial correlative time histories of multi-point ground motion,part I:fundamental formulas[J].Earthquake Eng-ineering and Engineering Vibration.1998,18(1):8-15.
[12]屈铁军,王前信.空间相关的多点地震动合成(II)合成实例[J].地震工程与工程振动,1998,18(2):25-32.QU Tie-jun,WANG Qian-xin.Simulation of spatial correlative time histories of multi-point ground motion,part II:application of fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(2):25-32.
[13]中华人民共和国水利部.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.
[14]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.
[15]吴兆营,薄景山,刘红帅,等.岩体边坡地震稳定性动安全系数分析方法[J].防灾减灾工程学报,2004,24(3):237-241.WU Zhao-ying,BO Jing-shan,LIU Hong-shuai,et al.A method for evaluating dynamic safety factor rock slope seismic stability analysis[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(3):237-241.
[16]刘汉龙,费康,高玉峰.边坡地震稳定性时程分析方法[J].岩土力学,2003,24(4):553-556,560.LIU Han-long,FEI Kang,GAO Yu-feng.Time history analysis method of slope seismic stability[J].Rock and Soil Mechanics,2003,24(4):553-556,560.
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