抗滑桩预加固边坡的能量分析方法
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摘要
基于强度折减技术和岩土塑性极限分析理论,考虑抗滑桩预加固岩土边坡的加固效应,从功能平衡原理探讨了岩土边坡抗滑桩加固位置、桩长和多抗滑桩共同加固边坡的分析方法。假定机动容许的对数螺旋线速度机构,推导了抗滑桩预加固边坡稳定性安全系数的计算表达式。采用内点迭代方法对安全系数目标函数进行能量耗散最小化意义上的优化计算,算例对比验证了方法和程序的正确性。分析了单抗滑桩加固措施条件下的边坡局部稳定性特性,并由此推导了多抗滑桩加固边坡的稳定性分析算式。研究表明,抗滑桩设置位置改变对边坡安全系数、临界滑裂面位置和桩长均有显著影响,抗滑桩加固边坡的最优设置位置应位于边坡中下部区域。
Based on strength reduction technique and geotechnical plastic limit analysis theory,an analyfical method about the location of anti-slide pile,anti-slide pile length and stability of slope reinforced by multiple piles is studied in terms of the functional balance principle,in which the pre-reinforcing effect of anti-slide pile is taken into account.Provided that a simple logarithmic spiral failure mechanism and a safety factor expression calculation of the pre-reinforcing slopes with anti-slide piles is derived.Provided that a simple logarithmic spiral failure mechanism,the expression to calculate the safety factor of slope pre-reinforced by anti-slide piles is derived.The iteration interior point method is used to calculates the objective function of safety factor incorporating the theory of minimized energy dissipation.The examples comparison illustrate the validity of this method and program.The local stability of slope reinforced by the single-pile is analyzed;and then the expression to evaluate the stability of slope reinforced by multiple piles is derived.The results show that the location of pile has significant influence on the safety factor,the location of critical slip surface and the pile length.And the best position for re-reinforcing slope with piles should be located in the lower slope region.
Based on strength reduction technique and geotechnical plastic limit analysis theory,an analyfical method about the location of anti-slide pile,anti-slide pile length and stability of slope reinforced by multiple piles is studied in terms of the functional balance principle,in which the pre-reinforcing effect of anti-slide pile is taken into account.Provided that a simple logarithmic spiral failure mechanism and a safety factor expression calculation of the pre-reinforcing slopes with anti-slide piles is derived.Provided that a simple logarithmic spiral failure mechanism,the expression to calculate the safety factor of slope pre-reinforced by anti-slide piles is derived.The iteration interior point method is used to calculates the objective function of safety factor incorporating the theory of minimized energy dissipation.The examples comparison illustrate the validity of this method and program.The local stability of slope reinforced by the single-pile is analyzed;and then the expression to evaluate the stability of slope reinforced by multiple piles is derived.The results show that the location of pile has significant influence on the safety factor,the location of critical slip surface and the pile length.And the best position for re-reinforcing slope with piles should be located in the lower slope region.
引文
[1]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.
[2]李海光.新型支挡结构设计与工程实例[M].北京:人民交通出版社,2004.
[3]郑颖人,陈祖煜,王恭先,等.边坡与滑坡工程治理[M].北京:人民交通出版社,2007.
[4]HASSIOTIS S,CHAMEAU J L,GUMNARATNE M.Design method for stabilization of slopes with piles[J].Journal of Geotechnical and GeoenvironmentalEngineering,ASCE,1997,123(4):314-323.
[5]HULL T S,POULOS H G.Design method forstabilization of slopes with piles(discussion)[J].Journalof Geotechnical and Geoenvironmental Engineering,ASCE,1999,125(10):911-913.
[6]AUSILIO E,CONTE E,DENTE G.Stability analysis ofslopes reinforced with piles[J].Computers andGeotechnics,ASCE,2001,28(8):591-611.
[7]LI X P,HE S M,WANG C H.Stability analysis of slopesreinforced with piles using limit analysis method[C]//Geo.Shanghai International Conference.Virginia:AmericanSociety of Civil Engineers,2006.
[8]年廷凯,栾茂田,杨庆.抗滑桩加固土坡稳定性分析与桩基的简化设计[J].岩石力学与工程学报,2005,24(19):3427-3433.NIAN Ting-kai,LUAN Mao-tian,YANG Qing.Stabilityanalysis of slopes with stabilizing piles and theirsimplified design[J].Chinese Journal of RockMechanics and Engineering,2005,24(19):3427-3433.
[9]年廷凯.桩-土-边坡相互作用数值分析及阻滑桩简化设计方法研究[博士学位论文D].大连:大连理工大学,2005.
[10]NIAN Ting-kai,LUAN Mao-tian,YANG Qing.Stabilityanalysis of complex shore slope stabilized bypile[C]//Proc.of the Second Sino-Japanese Symposiumon Geotechnical Engineering-Recent Development ofGeotechnical Engineering in Soft Ground.Shanghai:Tongji University Press,2005:574-580.
[11]NIAN Ting-kai,LUAN Mao-tian,YANG Qing,et al.Limit analysis and optimization design of slope stabilizedby piles considering pore-water pressure effect[C]//Recent Development of Geotechnical and Geo-environmental Engineering in Asia.Dalian:DalianUniversity of Technology Press,2006:253-258.
[12]NIAN Ting-kai,et al.Limit analysis of the stability ofslopes reinforced with piles against landslide innonhomogeneous and anisotropic soils[J].Can.Geotech.J.,2008,45(8):1092-1103.
[13]吴永,何思明,李新坡.地震波作用下抗滑桩的失效机理[J].四川大学学报(工程科学版),2009,41(3):284-288.WU Yong,HE Si-ming,LI Xin-po.Failure mechanism ofanti-slide pile under seismic wave[J].Journal of SichuanUniversity(Engineering Science Edition),2009,41(3):284-288.
[14]赵炼恒.边坡稳定性与加固设计的能量分析方法[博士学位论文D].长沙:中南大学,2009.
[15]谭捍华,罗斌,赵炼恒,等.路基塌方沉陷快速修复技术研究报告[R].贵阳:贵州省交通规划勘察设计研究院,2010.
[16]ITO T,MATSUI T.Methods to estimate lateral forceacting on stabilizing piles[J].Soils and Foundations,1975,15(4):43-59
[17]ITO T,MATSUI T,HONG W P.Design method for thestability analysis of the slope with landing pier[J].Soilsand Foundations,1979,19(4):43-57.
[18]ITO T,MATSUI T,HONG W P.Design method forstabilizing piles against landslide-one row of piles[J].Soils and Foundations,1981,21(1):21-37.
[19]MATSUI T,HONG W P,ITO T.Earth pressure on pilesin a row due to lateral soil movements[J].Soils andFoundations,1982,22(2):71-81.
[20]中华人民共和国建设部.GB50007―2002建筑地基基础设计规范[S].北京:中国建筑工业出版社,2002.
[21]HASSIOTIS S,CHAMEAU J L,GUNARATNE M.Design method for stabilization of slopes with piles(closure)[J].Journal of Geotechnical and Geo-environmental Engineering,ASCE,1999,125(10):913-914.
[22]李仁平,陈仁朋,陈云敏.阻滑桩加固土坡的极限设计方法[J].浙江大学学报(工学版),2001,35(6):618-622.LI Ren-ping,CHEN Ren-peng,CHEN Yun-min.Designmethod for slope with stabilizing pile[J].Journal ofZhejiang University(Engineering Science),2001,35(6):618-622.
[23]戴自航.抗滑桩滑坡推力和桩前滑体抗力分布规律的研究[J].岩石力学与工程学报,2002,21(4):517-521.DAI Zi-hang.Study on distribution laws oflandslide-thrust resistance of sliding mass acting onantislide piles[J].Chinese Journal of Rock Mechanicsand Engineering,2002,21(4):517-521.
[24]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975.
[25]BISHOP A W.The use of the slip circle in the stabilityanalysis of slopes[J].Géotechique,1955,5(1):7-17.
[26]ZIENKIEWICZ O C,HUMPHESON C,LEWIS R W.Associated and non-associated visco-plasticity andplasticity in soil mechanics[J].Géotechnique,1975,25(4):671-689.
[27]DUNCAN J M.Limit equilibrium and finite elementanalysis of slopes[J].Journal of GeotechnicalEngineering.1996,122(7):577-596.
[28]WON J,YOU K,JEONG S,et al.Coupled effects instability analysis of pile-slope systems[J].Computersand Geotechnics,2005,32(4):304-315.
[29]SHIN E C,PATRA C R,ROUT A K.Automated stabilityanalysis of slopes stabilized with piles[J].KSCE Journalof Civil Engineering,2006,10(5):333-338.
[30]POULOS H G.Design of reinforcing piles to increaseslope stability[J].Canadian Geotechnical Journal,1995,32(5):808-818.
[31]CAI F,UGAI K.Numerical analysis of the stability of aslope reinforced with piles[J].Soils Found JPn.Geotech.Soc.,2000,40(1):73-84.
[2]李海光.新型支挡结构设计与工程实例[M].北京:人民交通出版社,2004.
[3]郑颖人,陈祖煜,王恭先,等.边坡与滑坡工程治理[M].北京:人民交通出版社,2007.
[4]HASSIOTIS S,CHAMEAU J L,GUMNARATNE M.Design method for stabilization of slopes with piles[J].Journal of Geotechnical and GeoenvironmentalEngineering,ASCE,1997,123(4):314-323.
[5]HULL T S,POULOS H G.Design method forstabilization of slopes with piles(discussion)[J].Journalof Geotechnical and Geoenvironmental Engineering,ASCE,1999,125(10):911-913.
[6]AUSILIO E,CONTE E,DENTE G.Stability analysis ofslopes reinforced with piles[J].Computers andGeotechnics,ASCE,2001,28(8):591-611.
[7]LI X P,HE S M,WANG C H.Stability analysis of slopesreinforced with piles using limit analysis method[C]//Geo.Shanghai International Conference.Virginia:AmericanSociety of Civil Engineers,2006.
[8]年廷凯,栾茂田,杨庆.抗滑桩加固土坡稳定性分析与桩基的简化设计[J].岩石力学与工程学报,2005,24(19):3427-3433.NIAN Ting-kai,LUAN Mao-tian,YANG Qing.Stabilityanalysis of slopes with stabilizing piles and theirsimplified design[J].Chinese Journal of RockMechanics and Engineering,2005,24(19):3427-3433.
[9]年廷凯.桩-土-边坡相互作用数值分析及阻滑桩简化设计方法研究[博士学位论文D].大连:大连理工大学,2005.
[10]NIAN Ting-kai,LUAN Mao-tian,YANG Qing.Stabilityanalysis of complex shore slope stabilized bypile[C]//Proc.of the Second Sino-Japanese Symposiumon Geotechnical Engineering-Recent Development ofGeotechnical Engineering in Soft Ground.Shanghai:Tongji University Press,2005:574-580.
[11]NIAN Ting-kai,LUAN Mao-tian,YANG Qing,et al.Limit analysis and optimization design of slope stabilizedby piles considering pore-water pressure effect[C]//Recent Development of Geotechnical and Geo-environmental Engineering in Asia.Dalian:DalianUniversity of Technology Press,2006:253-258.
[12]NIAN Ting-kai,et al.Limit analysis of the stability ofslopes reinforced with piles against landslide innonhomogeneous and anisotropic soils[J].Can.Geotech.J.,2008,45(8):1092-1103.
[13]吴永,何思明,李新坡.地震波作用下抗滑桩的失效机理[J].四川大学学报(工程科学版),2009,41(3):284-288.WU Yong,HE Si-ming,LI Xin-po.Failure mechanism ofanti-slide pile under seismic wave[J].Journal of SichuanUniversity(Engineering Science Edition),2009,41(3):284-288.
[14]赵炼恒.边坡稳定性与加固设计的能量分析方法[博士学位论文D].长沙:中南大学,2009.
[15]谭捍华,罗斌,赵炼恒,等.路基塌方沉陷快速修复技术研究报告[R].贵阳:贵州省交通规划勘察设计研究院,2010.
[16]ITO T,MATSUI T.Methods to estimate lateral forceacting on stabilizing piles[J].Soils and Foundations,1975,15(4):43-59
[17]ITO T,MATSUI T,HONG W P.Design method for thestability analysis of the slope with landing pier[J].Soilsand Foundations,1979,19(4):43-57.
[18]ITO T,MATSUI T,HONG W P.Design method forstabilizing piles against landslide-one row of piles[J].Soils and Foundations,1981,21(1):21-37.
[19]MATSUI T,HONG W P,ITO T.Earth pressure on pilesin a row due to lateral soil movements[J].Soils andFoundations,1982,22(2):71-81.
[20]中华人民共和国建设部.GB50007―2002建筑地基基础设计规范[S].北京:中国建筑工业出版社,2002.
[21]HASSIOTIS S,CHAMEAU J L,GUNARATNE M.Design method for stabilization of slopes with piles(closure)[J].Journal of Geotechnical and Geo-environmental Engineering,ASCE,1999,125(10):913-914.
[22]李仁平,陈仁朋,陈云敏.阻滑桩加固土坡的极限设计方法[J].浙江大学学报(工学版),2001,35(6):618-622.LI Ren-ping,CHEN Ren-peng,CHEN Yun-min.Designmethod for slope with stabilizing pile[J].Journal ofZhejiang University(Engineering Science),2001,35(6):618-622.
[23]戴自航.抗滑桩滑坡推力和桩前滑体抗力分布规律的研究[J].岩石力学与工程学报,2002,21(4):517-521.DAI Zi-hang.Study on distribution laws oflandslide-thrust resistance of sliding mass acting onantislide piles[J].Chinese Journal of Rock Mechanicsand Engineering,2002,21(4):517-521.
[24]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975.
[25]BISHOP A W.The use of the slip circle in the stabilityanalysis of slopes[J].Géotechique,1955,5(1):7-17.
[26]ZIENKIEWICZ O C,HUMPHESON C,LEWIS R W.Associated and non-associated visco-plasticity andplasticity in soil mechanics[J].Géotechnique,1975,25(4):671-689.
[27]DUNCAN J M.Limit equilibrium and finite elementanalysis of slopes[J].Journal of GeotechnicalEngineering.1996,122(7):577-596.
[28]WON J,YOU K,JEONG S,et al.Coupled effects instability analysis of pile-slope systems[J].Computersand Geotechnics,2005,32(4):304-315.
[29]SHIN E C,PATRA C R,ROUT A K.Automated stabilityanalysis of slopes stabilized with piles[J].KSCE Journalof Civil Engineering,2006,10(5):333-338.
[30]POULOS H G.Design of reinforcing piles to increaseslope stability[J].Canadian Geotechnical Journal,1995,32(5):808-818.
[31]CAI F,UGAI K.Numerical analysis of the stability of aslope reinforced with piles[J].Soils Found JPn.Geotech.Soc.,2000,40(1):73-84.
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