基于有限元强度折减法的抗滑桩滑坡推力及抗滑桩内力可靠性分析
|
摘要
现行的抗滑桩滑坡推力以及抗滑桩内力计算方法本质上属于定值方法,由于该方法未考虑边坡岩土体材料参数的变异性等不确定性因素,存在着抗滑桩支护不足或过度支护等问题,因此提出基于有限元强度折减法(SRFEM)的抗滑桩滑坡推力及抗滑桩内力可靠性分析方法。将极限分析法、有限元方法和可靠性分析法三者耦合,用2结点梁单元模拟抗滑桩受力状态,采用拉丁超立方抽样法(LHS)进行可靠度计算,分析求解边坡抗滑桩可靠性问题,并将该过程在数值计算程序中得以实现。对抗滑桩滑坡推力以及抗滑桩内力进行概率统计,得出函数分布关系,并根据已给定的失效概率控制值,反算出滑坡推力以及抗滑桩内力设计值。结合典型算例分析结果表明该法显著区别于一般方法,能较全面地反映出边坡整体现状特征和岩土体材料强度参数的变异性,相对更加合理,且更符合工程实际。
Currently,the calculation method of landslide-thrust and internal forces of anti-slide pile in essence belongs to the fixed value method.However,for the lack of considering geotechnical uncertainties,inadequate and excessive support problems for the anti-slide piles cannot be ignored.Thus,based on strength reduction of finite element method,the reliability analysis method of landslide-thrust and internal forces of anti-slide pile is proposed.In this method,the limit analysis,finite element analysis as well as reliability analysis are included.In the calculation process,2-node beam element is used to simulate the stress condition of anti-slide pile;and the Latin hypercube sampling(LHS) method is used for reliability calculation;and above process is realized in the numerical calculation program.Landslide-thrust and internal forces of anti-slide pile are statistically analyzed;and function distributions can be achieved.With the control values of a given failure probability,the design values of landslide-thrust and internal forces can be accurately determined.Typical example analysis shows that the proposed method is significantly different from the general methods;it can reflect the slope present situation,overall characteristics and the variability of material parameters;and the results are closer to the reality.
Currently,the calculation method of landslide-thrust and internal forces of anti-slide pile in essence belongs to the fixed value method.However,for the lack of considering geotechnical uncertainties,inadequate and excessive support problems for the anti-slide piles cannot be ignored.Thus,based on strength reduction of finite element method,the reliability analysis method of landslide-thrust and internal forces of anti-slide pile is proposed.In this method,the limit analysis,finite element analysis as well as reliability analysis are included.In the calculation process,2-node beam element is used to simulate the stress condition of anti-slide pile;and the Latin hypercube sampling(LHS) method is used for reliability calculation;and above process is realized in the numerical calculation program.Landslide-thrust and internal forces of anti-slide pile are statistically analyzed;and function distributions can be achieved.With the control values of a given failure probability,the design values of landslide-thrust and internal forces can be accurately determined.Typical example analysis shows that the proposed method is significantly different from the general methods;it can reflect the slope present situation,overall characteristics and the variability of material parameters;and the results are closer to the reality.
引文
[1]赵文斌,罗文强,冯永.基于可靠性理论抗滑桩设计体系的研究[J].岩土力学,2006,27(增刊):952-957.ZHAO Wen-bin,LUO Wen-qiang,FENG Yong.Study on designing system of anti-slide piles based on reliability theory[J].Rock and Soil Mechanics,2006,27(Supp.):952-957.
[2]陈富坚,黄世斌,包惠明.抗滑桩加固工程的体系可靠度及其计算模型[J].工程抗震与加固改造,2009,31(6):15-18.CHEN Fu-jian,HUANG Shi-bin,BAO Hui-ming.The system reliability of anti-slide pile and their calculating models[J].Earthquake Resistant Engineering and Retrofitting,2009,31(6):15-18.
[3]刘英朴,门玉明.锚杆抗滑桩系统可靠性设计分项系数研究[J].公路,2006,31(1):53-57.LIU Yin-pu,MEN Yu-ming.A study on partial coefficient of reliability design of anchor anti-slide piles system[J].Highway,2006,31(1):53-57.
[4]唐芬.抗滑桩的可靠性分析[J].重庆交通学院学报,2005,24(6):108-111.TANG Fen.Analysis on reliability of piles for resisting slide[J].Journal of Chongqing Jiaotong University,2005,24(6):108-111.
[5]李强,罗书学,彭雄志.抗滑桩可靠度分析与计算[J].路基工程,2006,24(4):63-66.LI Qiang,LUO Shu-xue,PENG Xiong-zhi.Reliability analysis and calculation of anti-sliding pile[J].Subgrade Engineering,2006,24(4):63-66.
[6]高凌霞,杨向军,门玉明等.锚杆-抗滑桩系统的可靠性分析[J].水文地质工程地质,2006,33(6):36-39.GAO Ling-xia,YANG Xian-jun,MEN Yu-ming.Reliability study on anti-sliding pile with anchored bolt[J].Hydrogeology and Engineering Geology,2006,33(6):36-39.
[7]黄伟,肖尊群,李志平.刚性抗滑桩随机可靠性分析[J].矿冶工程,2009,29(6):29-32.HUANG Wei,XIAO Zun-qun,LI Zhi-ping.Random reliability analysis of rigid anti-sliding pile[J].Mining and Metallurgical Engineering,2009,29(6):29-32.
[8]焦赟.高烈度地震区抗滑桩锚固深度可靠度分析[J].路基工程,2012,30(5):5-8.JIAO Yun.Analysis on reliability of anchoring depth of anti-sliding pile in high-intensity earthquake region[J].Subgrade Engineering,2012,30(5):5-8.
[9]吴坤铭,王建国,谭晓慧.基于强度折减的边坡抗滑桩可靠性分析[J].工业建筑,2011,41(5):99-103.WU Ming-kun,WANG Jian-guo,TAN Xiao-hui.Reliability analysis of slope with anti-slide piles by displacement iterative FEM based on strength reduction method[J].Industrial Building,2011,41(5):99-103.
[10]胡晓军,吴延枝.抗滑桩锚固深度的可靠度与参数敏感性[J].河海大学学报,2011,39(1):49-53.HU Xiao-jun,WU Yan-zhi.Reliability and parametric sensitivity of anchorage depth of anti-slide piles[J].Journal of Hohai University(Natural Sciences),2011,39(1):49-53.
[11]胡晓军,吴延枝.抗滑桩间距的可靠性设计[J].南水北调与水利科技,2010,8(5):141-143.HU Xiao-jun,WU Yan-zhi.Reliability design of anti-slide pile spacing[J].South-to-North Water Transfers and Water Science&Technology,2010,8(5):141-143.
[12]张文居,赵其华,刘晶晶.参数变异性对抗滑桩锚固深度可靠度的影响分析[J].水文地质工程地质,2006,33(3):61-63.ZHANG Wen-ju,ZHAO Qi-hua,LIU Jing-jing.On effect of variability of parameters on anchoring depth reliability of anti-sliding pile[J].Hydrogeology and Engineering Geology,2006,33(3):61-63.
[13]郑颖人,赵尚毅,宋雅坤.有限元强度折减法研究进展[J].后勤工程学院学报,2005,21(3):1-6.ZHENG Yin-ren,ZHAO Shang-yi,SONG Ya-kun.Advance of study on the strength reduction finite element method[J].Journal of Logistical Engineering University,2005,21(3):1-6.
[14]郑颖人,孔亮.岩土塑形力学[M].北京:中国建筑工业出版社,2010.
[15]马建全,李广杰,徐佩华等.基于拉丁方抽样及K-S检验的边坡可靠性分析[J].岩土力学,2011,32(7):2153-2156.MA Jian-quan,LI Guang-jie,XU Pei-hua.Reliability analysis of slope with Latin hypercube sampling and K-S test[J].Rock and Soil Mechanics,2011,32(7):21532156.
[16]陈祖煜.土质边坡稳定性分析—原理、方法、程序[M].北京:中国水利水电出版社,2003.
[17]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,2009.
[18]CARRO M,AMICIS M De,LUZI L,et al.The application of predictive modeling techniques to landslides induced by earthquakes:The case study of the 26 September 1997,Umbria-Marche earthquake(Italy)[J].Engineering Geology,2003,69(1/2):139-159.
[19]ANG A H-S,TANG W H.Probability concepts in engineering:Emphasis on applications to civil and environmental engineering(2nd ed.)[M].New York:Wiley,2007.
[20]EI-RAMLY H,MORGENSTERN N R,CRUDEN D M.Probabilistic assessment of stability of a cut slope in residual soil[J].Geotechnique,2005,55(1):77-84
[21]EI-RAMLY H,MORGENSTERN N R,CRUDEN D M.Probabilistic slope stability analysis for practice[J].Can.Geotech.J.,2002,39(3):665-683
[22]谭晓慧,王建国.边坡的弹塑性有限元可靠度分析[J].岩土工程学报,2007,29(1):44-50.TAN Xiao-hui,WANG Jian-guo.Slope reliability analysis using elasto-plastic finite element method[J].Chinese Journal of Geotechnical Engineering,2007,29(1):44-50.
[23]LUZI L L,PERGLANIA F,TERLIENB M T J.Slope vulnerability to earthquakes at subregional scale,using probabilistic techniques and geographic information systems[J].Engineering Geology,2000,58(3-4):313336
[24]康海贵,李炜.边坡稳定安全系数及其与土性参数及失效概率关系研究[J].大连理工大学学报,2008,48(6):856-862.KANG Hai-gui,LI Wei.Research on slope safety factor and its relationship with shear strength parameters and failure probability[J].Journal of Dalian University of Technology,2008,48(6):856-862.
[2]陈富坚,黄世斌,包惠明.抗滑桩加固工程的体系可靠度及其计算模型[J].工程抗震与加固改造,2009,31(6):15-18.CHEN Fu-jian,HUANG Shi-bin,BAO Hui-ming.The system reliability of anti-slide pile and their calculating models[J].Earthquake Resistant Engineering and Retrofitting,2009,31(6):15-18.
[3]刘英朴,门玉明.锚杆抗滑桩系统可靠性设计分项系数研究[J].公路,2006,31(1):53-57.LIU Yin-pu,MEN Yu-ming.A study on partial coefficient of reliability design of anchor anti-slide piles system[J].Highway,2006,31(1):53-57.
[4]唐芬.抗滑桩的可靠性分析[J].重庆交通学院学报,2005,24(6):108-111.TANG Fen.Analysis on reliability of piles for resisting slide[J].Journal of Chongqing Jiaotong University,2005,24(6):108-111.
[5]李强,罗书学,彭雄志.抗滑桩可靠度分析与计算[J].路基工程,2006,24(4):63-66.LI Qiang,LUO Shu-xue,PENG Xiong-zhi.Reliability analysis and calculation of anti-sliding pile[J].Subgrade Engineering,2006,24(4):63-66.
[6]高凌霞,杨向军,门玉明等.锚杆-抗滑桩系统的可靠性分析[J].水文地质工程地质,2006,33(6):36-39.GAO Ling-xia,YANG Xian-jun,MEN Yu-ming.Reliability study on anti-sliding pile with anchored bolt[J].Hydrogeology and Engineering Geology,2006,33(6):36-39.
[7]黄伟,肖尊群,李志平.刚性抗滑桩随机可靠性分析[J].矿冶工程,2009,29(6):29-32.HUANG Wei,XIAO Zun-qun,LI Zhi-ping.Random reliability analysis of rigid anti-sliding pile[J].Mining and Metallurgical Engineering,2009,29(6):29-32.
[8]焦赟.高烈度地震区抗滑桩锚固深度可靠度分析[J].路基工程,2012,30(5):5-8.JIAO Yun.Analysis on reliability of anchoring depth of anti-sliding pile in high-intensity earthquake region[J].Subgrade Engineering,2012,30(5):5-8.
[9]吴坤铭,王建国,谭晓慧.基于强度折减的边坡抗滑桩可靠性分析[J].工业建筑,2011,41(5):99-103.WU Ming-kun,WANG Jian-guo,TAN Xiao-hui.Reliability analysis of slope with anti-slide piles by displacement iterative FEM based on strength reduction method[J].Industrial Building,2011,41(5):99-103.
[10]胡晓军,吴延枝.抗滑桩锚固深度的可靠度与参数敏感性[J].河海大学学报,2011,39(1):49-53.HU Xiao-jun,WU Yan-zhi.Reliability and parametric sensitivity of anchorage depth of anti-slide piles[J].Journal of Hohai University(Natural Sciences),2011,39(1):49-53.
[11]胡晓军,吴延枝.抗滑桩间距的可靠性设计[J].南水北调与水利科技,2010,8(5):141-143.HU Xiao-jun,WU Yan-zhi.Reliability design of anti-slide pile spacing[J].South-to-North Water Transfers and Water Science&Technology,2010,8(5):141-143.
[12]张文居,赵其华,刘晶晶.参数变异性对抗滑桩锚固深度可靠度的影响分析[J].水文地质工程地质,2006,33(3):61-63.ZHANG Wen-ju,ZHAO Qi-hua,LIU Jing-jing.On effect of variability of parameters on anchoring depth reliability of anti-sliding pile[J].Hydrogeology and Engineering Geology,2006,33(3):61-63.
[13]郑颖人,赵尚毅,宋雅坤.有限元强度折减法研究进展[J].后勤工程学院学报,2005,21(3):1-6.ZHENG Yin-ren,ZHAO Shang-yi,SONG Ya-kun.Advance of study on the strength reduction finite element method[J].Journal of Logistical Engineering University,2005,21(3):1-6.
[14]郑颖人,孔亮.岩土塑形力学[M].北京:中国建筑工业出版社,2010.
[15]马建全,李广杰,徐佩华等.基于拉丁方抽样及K-S检验的边坡可靠性分析[J].岩土力学,2011,32(7):2153-2156.MA Jian-quan,LI Guang-jie,XU Pei-hua.Reliability analysis of slope with Latin hypercube sampling and K-S test[J].Rock and Soil Mechanics,2011,32(7):21532156.
[16]陈祖煜.土质边坡稳定性分析—原理、方法、程序[M].北京:中国水利水电出版社,2003.
[17]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,2009.
[18]CARRO M,AMICIS M De,LUZI L,et al.The application of predictive modeling techniques to landslides induced by earthquakes:The case study of the 26 September 1997,Umbria-Marche earthquake(Italy)[J].Engineering Geology,2003,69(1/2):139-159.
[19]ANG A H-S,TANG W H.Probability concepts in engineering:Emphasis on applications to civil and environmental engineering(2nd ed.)[M].New York:Wiley,2007.
[20]EI-RAMLY H,MORGENSTERN N R,CRUDEN D M.Probabilistic assessment of stability of a cut slope in residual soil[J].Geotechnique,2005,55(1):77-84
[21]EI-RAMLY H,MORGENSTERN N R,CRUDEN D M.Probabilistic slope stability analysis for practice[J].Can.Geotech.J.,2002,39(3):665-683
[22]谭晓慧,王建国.边坡的弹塑性有限元可靠度分析[J].岩土工程学报,2007,29(1):44-50.TAN Xiao-hui,WANG Jian-guo.Slope reliability analysis using elasto-plastic finite element method[J].Chinese Journal of Geotechnical Engineering,2007,29(1):44-50.
[23]LUZI L L,PERGLANIA F,TERLIENB M T J.Slope vulnerability to earthquakes at subregional scale,using probabilistic techniques and geographic information systems[J].Engineering Geology,2000,58(3-4):313336
[24]康海贵,李炜.边坡稳定安全系数及其与土性参数及失效概率关系研究[J].大连理工大学学报,2008,48(6):856-862.KANG Hai-gui,LI Wei.Research on slope safety factor and its relationship with shear strength parameters and failure probability[J].Journal of Dalian University of Technology,2008,48(6):856-862.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心