基于矢量和方法的边坡动力稳定性分析
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摘要
边坡矢量和方法是基于力的矢量特性和边坡体真实应力场的分析方法,动力有限元法可模拟得到边坡体在天然地震动荷载作用下每一时刻的应力状态,在此基础上采用边坡矢量和法进行动力稳定性分析,可得到边坡体在地震动过程中的安全系数时程曲线,进而对其动力稳定性进行评价。针对一高陡边坡,在静力稳定性分析的基础上,针对软弱结构面控制的深层滑移面采用矢量和法进行动力稳定性分析,计算中考虑小震(50 a超越概率63%)和大震(50 a超越概率2%)作用下的动力响应。计算结果表明,在小震和大震作用下的动力安全系数分别为1.86,1.66。矢量和法能够较真实地模拟边坡在地震动过程中的动力特征和稳定性状态,为边坡动力稳定性分析提供一种切实可行的分析途径。
Combining with the dynamic finite element method,the vector sum analysis method(VSAM) which is based on the vector characteristic of force and true stress field,is used in seismic stability analysis of slope;and the dynamic stress field at any moment under seismic loads are obtained;so the time-history curves of safety factors of slope can be obtained easily;and the whole stability state of slope can be evaluated.And then,the method is applied to a high steep rock slope;and based on the static stability analysis of slope,the deep slip surface governed by the weak discontinuities is analyzed under seismic loads.Seismic responses of 63 % and 2 % probability of overloads in 50 a are taken into account in dynamic stability analysis of the slope.The calculating results show that the dynamic safety factors are 1.86 and 1.66 under small and big seismic loads,respectively.The seismic characteristics and dynamic stability of slope can be well simulated with VSAM,so as to provide a practical approach for dynamic stability analysis of slope.
Combining with the dynamic finite element method,the vector sum analysis method(VSAM) which is based on the vector characteristic of force and true stress field,is used in seismic stability analysis of slope;and the dynamic stress field at any moment under seismic loads are obtained;so the time-history curves of safety factors of slope can be obtained easily;and the whole stability state of slope can be evaluated.And then,the method is applied to a high steep rock slope;and based on the static stability analysis of slope,the deep slip surface governed by the weak discontinuities is analyzed under seismic loads.Seismic responses of 63 % and 2 % probability of overloads in 50 a are taken into account in dynamic stability analysis of the slope.The calculating results show that the dynamic safety factors are 1.86 and 1.66 under small and big seismic loads,respectively.The seismic characteristics and dynamic stability of slope can be well simulated with VSAM,so as to provide a practical approach for dynamic stability analysis of slope.
引文
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[3]薄景山,徐国栋,景立平.土边坡地震反应及其动力稳定性分析[J].地震工程与工程振动,2001,21(2):116-120.(BO Jingshan,XU Guodong,JING Liping.Seismic response and dynamic stability analysis of soil slopes[J].Earthquake Engineering and Engineering Vibration,2001,21(2):116-120.(in chinese))
[4]刘春玲,祁生文,童立强,等.利用FLAC3D分析某边坡地震稳定性[J].岩石力学与工程学报,2004,23(16):2 730-2 733.(LIU Chunling,QI Shengwen,TONG Liqiang,et al.Stability analysis of slope under earthquake with FLAC3D[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(16):2 730-2 733.(in chinese))
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[7]BIONDI G,CASCONE E,MAUGERI M.Flow and deformation failure of sandy slopes[J].Soil Dynamics and Earthquake Engineering,2002,22(9-12):1 103-1 114.
[8]SIAD L.Seismic stability analysis of fractured rock slopes by yield design theory[J].Soil Dynamics and Earthquake Engineering,2003,23(3):21-30.
[9]姚爱军,苏永华.复杂岩质边坡锚固工程地震敏感性分析[J].土木工程学报,2003,36(11):34-37.(YAO Aijun,SU Yonghua.A method for stability of slope engineering with complicated rockmass[J].China Civil Engineering Journal,2003,36(11):34-37.(in Chinese))
[10]王思敬.岩石边坡动态稳定性的初步探讨[J].地质科学,1977,(4):372-376.(WANG Sijing.Preliminary notes on the dynamic stability of rock slopes[J].Chinese Journal of Geology,1977(,4):372-376.(in Chinese))
[11]郭明伟,李春光,葛修润,等.基于矢量和分析方法的边坡滑面搜索[J].岩土力学,2009,30(6):1 775-1 781.(GUO Mingwei,LI Chunguang,GE Xiurun,et al.Searching potential slip surface of slopes based on the vector sum analysis method[J].Rock and Soil Mechanics,2009,30(6):1 775-1 781.(in Chinese))
[12]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 Hanlong,FEI Kang,GAO Yufeng,et al.Time-history analysis method of slope seismic stability[J].Rock and Soil Mechanics,2003,24(4):553-556,560.(in Chinese))
[13]张伯艳,陈厚群,杜修力,等.拱坝坝肩抗震稳定分析[J].水利学报,2000,(11):55-59.(ZHAGN Boyan,CHEN Houqun,DU Xiuli,et al.Arch dam abutment aseismatic stability analysis[J].Journal of Hydraulic Engineering,2000,(11):55-59.(in Chinese))
[14]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 Zhaoying,BO Jingshan,LIU Hongshuai,et al.A method for evaluating dynamic safety factor of rock slope seismic stability analysis[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(3):237-241.(in Chinese))
[15]刘红帅.岩质边坡地震稳定性分析研究[博士学位论文][D].哈尔滨:中国地震局工程力学研究所,2006.(LIU Hongshuai.Study on analysis method of rock slope seismic stability[Ph.D.Thesis][D].Harbin:Institute of Engineering Mechanics,China Earthquake Administration,2006.(in Chinese))
[2]NEWMARK N M.Effects of earthquakes on dams and embankments[J].Geotechnique,1965,15(2):139-160.
[3]薄景山,徐国栋,景立平.土边坡地震反应及其动力稳定性分析[J].地震工程与工程振动,2001,21(2):116-120.(BO Jingshan,XU Guodong,JING Liping.Seismic response and dynamic stability analysis of soil slopes[J].Earthquake Engineering and Engineering Vibration,2001,21(2):116-120.(in chinese))
[4]刘春玲,祁生文,童立强,等.利用FLAC3D分析某边坡地震稳定性[J].岩石力学与工程学报,2004,23(16):2 730-2 733.(LIU Chunling,QI Shengwen,TONG Liqiang,et al.Stability analysis of slope under earthquake with FLAC3D[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(16):2 730-2 733.(in chinese))
[5]ZHANG C H,PEKAU O A,JIN F,et al.Application of distinct element method in dynamic analysis of high rock slopes and blocky structures[J].Soil Dynamics and Earthquake Engineering,1997,16(6):385-394.
[6]SIYAHI B J,BILGE G.A pseudo-static stability analysis in normally consolidated soil slopes subjected to earthquakes[J].Technical Journal of Turkish Chamber of Civil Engineers,1998,9(1):1 525-1 552.
[7]BIONDI G,CASCONE E,MAUGERI M.Flow and deformation failure of sandy slopes[J].Soil Dynamics and Earthquake Engineering,2002,22(9-12):1 103-1 114.
[8]SIAD L.Seismic stability analysis of fractured rock slopes by yield design theory[J].Soil Dynamics and Earthquake Engineering,2003,23(3):21-30.
[9]姚爱军,苏永华.复杂岩质边坡锚固工程地震敏感性分析[J].土木工程学报,2003,36(11):34-37.(YAO Aijun,SU Yonghua.A method for stability of slope engineering with complicated rockmass[J].China Civil Engineering Journal,2003,36(11):34-37.(in Chinese))
[10]王思敬.岩石边坡动态稳定性的初步探讨[J].地质科学,1977,(4):372-376.(WANG Sijing.Preliminary notes on the dynamic stability of rock slopes[J].Chinese Journal of Geology,1977(,4):372-376.(in Chinese))
[11]郭明伟,李春光,葛修润,等.基于矢量和分析方法的边坡滑面搜索[J].岩土力学,2009,30(6):1 775-1 781.(GUO Mingwei,LI Chunguang,GE Xiurun,et al.Searching potential slip surface of slopes based on the vector sum analysis method[J].Rock and Soil Mechanics,2009,30(6):1 775-1 781.(in Chinese))
[12]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 Hanlong,FEI Kang,GAO Yufeng,et al.Time-history analysis method of slope seismic stability[J].Rock and Soil Mechanics,2003,24(4):553-556,560.(in Chinese))
[13]张伯艳,陈厚群,杜修力,等.拱坝坝肩抗震稳定分析[J].水利学报,2000,(11):55-59.(ZHAGN Boyan,CHEN Houqun,DU Xiuli,et al.Arch dam abutment aseismatic stability analysis[J].Journal of Hydraulic Engineering,2000,(11):55-59.(in Chinese))
[14]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 Zhaoying,BO Jingshan,LIU Hongshuai,et al.A method for evaluating dynamic safety factor of rock slope seismic stability analysis[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(3):237-241.(in Chinese))
[15]刘红帅.岩质边坡地震稳定性分析研究[博士学位论文][D].哈尔滨:中国地震局工程力学研究所,2006.(LIU Hongshuai.Study on analysis method of rock slope seismic stability[Ph.D.Thesis][D].Harbin:Institute of Engineering Mechanics,China Earthquake Administration,2006.(in Chinese))
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