土石坝抗震稳定性分析的极限平衡水平条分法
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摘要
在土石坝的抗震稳定分析中常采用拟静力法。地震动态分布系数沿坝高呈非线性分布,因而采用竖向条分法将造成水平惯性力计算误差,在分析产生误差机理的基础上,尝试将极限平衡水平条分法应用于土石坝抗震稳定分析中。根据极限平衡法的基本原理,推导了满足力和力矩平衡的水平条分法计算公式。运用0.618多变量轮换优选法,实现了坝体边坡分层自动搜索最危险滑动面。算例分析表明,极限平衡水平条分法对于土石坝抗震稳定分析更为合理,其计算结果可以为土石坝的抗震稳定分析提供参考依据。
The quasi-static force method is often used in seismic stability analysis of earth-rock dam.Because of the nonlinear distribution of seismic dynamic distribution coefficient,the adoption of vertical slice method to calculate horizontal inertia force will cause errors.In this paper,based on the analysis of the error mechanism,the limit equilibrium horizontal slice method is applied to analyse the seismic stability of the dam.In accordance with the basic principle of limit equilibrium method,the formula of limit equilibrium method is derived,which can meet the force and moment balance.In searching the critical surface,0.618 optimization method of variable exchange is applied,this method can realize stratified search automatically.The results show that limit equilibrium horizontal slice method is more reasonable,and the calculation results can provide reference for seismic stability analysis of earth-rock dam.
The quasi-static force method is often used in seismic stability analysis of earth-rock dam.Because of the nonlinear distribution of seismic dynamic distribution coefficient,the adoption of vertical slice method to calculate horizontal inertia force will cause errors.In this paper,based on the analysis of the error mechanism,the limit equilibrium horizontal slice method is applied to analyse the seismic stability of the dam.In accordance with the basic principle of limit equilibrium method,the formula of limit equilibrium method is derived,which can meet the force and moment balance.In searching the critical surface,0.618 optimization method of variable exchange is applied,this method can realize stratified search automatically.The results show that limit equilibrium horizontal slice method is more reasonable,and the calculation results can provide reference for seismic stability analysis of earth-rock dam.
引文
[1]SL 203-97,水工建筑物抗震设计规范[S].(SL 203-97,Specifica-tions for Seismic Design of Hydraulic Structures[S].(in Chinese))
[2]SL 274-2001,碾压式土石坝设计规范[S].(SL274-2001,DesignCode for Rolled Earth-Rock Fill Dam[S].(in Chinese))
[3]LO S.C.R.,Xu D-W.A strain-based design method for thecollapse li mit state of reinforced soil walls or slopes[J].Canadi-an Geotechnical Journal,1992,29(8):832-842.
[4]Shahgholi M,Fakher A,Jones C.J.F.P.Horizontal slice meth-od of analysis[J].Geotechnique,2001,51(10):881-885.
[5]Nouri H,Fakher A,Jones C.J.F.P..Development of horizon-tal slice method for seismic stability analysis of reinforcedslopes and walls[J].Geotextiles and Geomembranes,2006,24(5):175-187.
[6]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[J].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 under seismicload based on genetic algorithm[J].Chinese Journal of RockMechanics and Engineering,2003,22(11):1919-1923.(in Chi-nese))
[7]陈昌富,杨宇.边坡稳定性分析水平条分法及其进化计算[J].湖南大学学报(自然科学版),2004,31(3):72-75(CHENChang-fu,Yang Yu.Horizontal slice method of slope stabilityanalysis based on evolutionary algorithm[J].Journal of HunanUniversity(Natural Science),2004,31(3):72-75.(in Chi-nese))
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[9]阎中华.均质土坝与非均质土石坝稳定安全系数极值分布规律及电算程序简介[J].水利水电技术,1983,(7):9-15.(YANZhong-hua.Extreme distribution of stability safety factor ofhomogeneous and non-homogeneous earth dams and introduc-tion to computer program[J].Water Resources and Hydro-power Engineering,1983,(7):9-15.(in Chinese)
[10]崔娟,沈振中.高沥青混凝土心墙混合坝地震永久变形特性[J].水电能源科学,2010,28(1):73-76.(CUI Juan,SHENZhen-zhong.Characteristics of Earthquake Induced PermanentDeformation of a High Composite Dam with Asphalt ConcreteCore Wall[J].Water Resources and Power,2010,28(1):73-76.(in Chinese))
[2]SL 274-2001,碾压式土石坝设计规范[S].(SL274-2001,DesignCode for Rolled Earth-Rock Fill Dam[S].(in Chinese))
[3]LO S.C.R.,Xu D-W.A strain-based design method for thecollapse li mit state of reinforced soil walls or slopes[J].Canadi-an Geotechnical Journal,1992,29(8):832-842.
[4]Shahgholi M,Fakher A,Jones C.J.F.P.Horizontal slice meth-od of analysis[J].Geotechnique,2001,51(10):881-885.
[5]Nouri H,Fakher A,Jones C.J.F.P..Development of horizon-tal slice method for seismic stability analysis of reinforcedslopes and walls[J].Geotextiles and Geomembranes,2006,24(5):175-187.
[6]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[J].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 under seismicload based on genetic algorithm[J].Chinese Journal of RockMechanics and Engineering,2003,22(11):1919-1923.(in Chi-nese))
[7]陈昌富,杨宇.边坡稳定性分析水平条分法及其进化计算[J].湖南大学学报(自然科学版),2004,31(3):72-75(CHENChang-fu,Yang Yu.Horizontal slice method of slope stabilityanalysis based on evolutionary algorithm[J].Journal of HunanUniversity(Natural Science),2004,31(3):72-75.(in Chi-nese))
[8]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.(CHEN Zu-yu.Soil slop stability anal-ysis(Theory,Methods and Programs)[M].Beijing:China Water Power Press,2003.(in Chinese))
[9]阎中华.均质土坝与非均质土石坝稳定安全系数极值分布规律及电算程序简介[J].水利水电技术,1983,(7):9-15.(YANZhong-hua.Extreme distribution of stability safety factor ofhomogeneous and non-homogeneous earth dams and introduc-tion to computer program[J].Water Resources and Hydro-power Engineering,1983,(7):9-15.(in Chinese)
[10]崔娟,沈振中.高沥青混凝土心墙混合坝地震永久变形特性[J].水电能源科学,2010,28(1):73-76.(CUI Juan,SHENZhen-zhong.Characteristics of Earthquake Induced PermanentDeformation of a High Composite Dam with Asphalt ConcreteCore Wall[J].Water Resources and Power,2010,28(1):73-76.(in Chinese))
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