岩-土复合地层深基坑支护桩变形计算方法
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摘要
基于Winkler弹性地基梁理论,考虑支护桩与支撑结构的变形协调,将支撑结构视为弹簧杆件,并将地基反力函数分段.应用分段独立坐标法推导并建立了桩体挠度微分方程,采用数值方法求解支护桩变形量.以贵阳地铁2号线兴筑西路站深基坑工程为背景,计算分析了不同开挖深度时桩体水平位移.结果表明:分段函数的计算值与实测值较吻合,地基反力函数分布形式对桩体变形影响较大,当深度分布指数n取0.7时,计算值更接近实测结果;桩身刚度对支护桩的变形影响显著.
The space curve differential equations for retaining pile within each independent coordinates system were proposed by applying the Winkler elastic foundation beam theory. And the deformation compatibility condition between retaining piles and retained structures was considered, the retained structures were regarded as spring element, and the ground reaction force was set as segmented function in the equations. Then, the deformations of retaining piles by this numerical method were solved. And taking the deep excavation project of Guiyang Metro Line 2 Xingzhu Western road station as a background, the lateral displacement of retaining piles was analyzed at different excavation depths. The results show that the calculated values of piecewise functions are close to the site monitoring data; the functions of ground reaction force had a great influence on retaining piles deformation, and when the depth index is 0.7, the calculated values are closer to the site monitoring data. The pile stiffness affects the retaining piles deformation obviously.
The space curve differential equations for retaining pile within each independent coordinates system were proposed by applying the Winkler elastic foundation beam theory. And the deformation compatibility condition between retaining piles and retained structures was considered, the retained structures were regarded as spring element, and the ground reaction force was set as segmented function in the equations. Then, the deformations of retaining piles by this numerical method were solved. And taking the deep excavation project of Guiyang Metro Line 2 Xingzhu Western road station as a background, the lateral displacement of retaining piles was analyzed at different excavation depths. The results show that the calculated values of piecewise functions are close to the site monitoring data; the functions of ground reaction force had a great influence on retaining piles deformation, and when the depth index is 0.7, the calculated values are closer to the site monitoring data. The pile stiffness affects the retaining piles deformation obviously.
引文
[1] 陈忠汉,程丽萍.深基坑工程[M].北京:机械工业出版社,1999:56-59.CHEN Zhonghan,CHENG Liping.Deep foundation pit engineering[M].Beijing:China Machine Press,1999:56-59.
[2] CHANG Y L.Discussion on “Lateral pile-loading tests” by Feagin[J].Transaction ASCE,1937,102(65):272-278.
[3] ROWE P W.The single pile subject to horizontal force[J].Geotechnique,1956,6(2):70-85.
[4] MATLOCK H,REESE L C.Generalized solutions for laterally loaded piles[J].Geotechnical Special Publication,1960,127(118):1220-1248.
[5] PALMER L A,BROWN P P.Part Ⅱ:Analysis of pressure deflection,moment,and shear by the method of difference equations,symposium on lateral load tests on piles[J].ASTM International,1955,33(154):22-44.
[6] 中华人民共和国住房和城乡建设部.建筑桩基技术规范:JGJ 94—2008[S].北京:中国建筑工业出版社,2008:15-48.Ministry of housing and urban-rural development of the People’s Republic of China.Technical specification for building pile foundation:JGJ 94—2008[S].Beijing:China Building Industry Press,2008:15-48.
[7] BROMS B B.Lateral resistance of piles in cohesive soils[J].Journal of the Soil Mechanics and Foundations Division,1964,90(3):123-156.
[8] 周铭.弹性桩与弹性梁通解[J].岩土工程学报,1982,4(1):1-15.ZHOU Ming.General solution for elastic pile and elastic beam[J].Chinese Journal Geotechnical Engineering,1982,4(1):1-15.
[9] 吴恒立.推力桩双参数法微分方程的通解[J].重庆交通学院学报,1985,4(3):19-27.WU Hengli.A general solution of differential equation of double parameter method used in design of laterally loaded piles[J].Journal of Chongqing Jiaotong University,1985,4(3):19-27.
[10] 吴恒立.推力桩计算方法的研究[J].土木工程学报,1995,28(2):20-28.WU Hengli.Study on calculation method of laterally loaded pile[J].China Civil Engineering Journal,1995,28(2):20-28.
[11] 杨维好,王衍森.顶部弹性嵌固、底部嵌固桩的稳定性分析[J].中国矿业大学学报,1999,28(6):544-546.YANG Weihao,WANG Yansen.Axial buckling analysis for pile elastically fixed at top and fixed at bottom[J].Journal of China University of Mining &Technology,1999,28(6):544-546.
[12] 肖启扬.多支撑挡土结构考虑开挖过程计算方法参数的敏感性分析[J].黎明职业大学学报,2008,12(1):27-30.XIAO Qiyang.Multi-Support retaining structure considering the sensitivity analysis of the parameters of the excavation process calculation method[J].Journal of Liming Vocational University,2008,12(1):27-30.
[13] 伊晓东,黄鹏,王智超.土岩二元地区深基坑桩锚支护结构变形分析[J].地下空间与工程学报,2013,9(增1):1549-1553.YIN Xiaodong,HUANG Peng,WANG Zhichao.The deformation analysis of pile-anchor supporting system of deep foundation pit in soil-rock dualistic area[J].Chinese Journal of Underground Space and Engineering,2013,9(Sup 1):1549-1553.
[14] 戴自航,王云凤,卢才金.水平荷载单桩计算的综合刚度和双参数法杆系有限元数值解[J].岩石力学与工程学报,2016,35(10):2115-2123.DAI Zihang,WANG Yunfeng,LU Caijin.Numerical solution of link finite element based on composite stiffness and bi-parameter method for computation of laterally loaded single pile[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(10):2115-2123.
[15] 窦国涛,夏军武,杨远征,等.采动区刚性墙体侧土压力试验研究[J].中国矿业大学学报,2017,46(1):215-221.DOU Guotao,XIA Junwu,YANG Yuanzheng,et al.Experiment study of lateral earth pressure on rigid wall in mining area[J].Journal of China University of Mining & Technology,2017,46(1):215-221.
[16] 李涛,江永华,朱连华,等.桩-土相互作用支护桩受力变形计算方法[J].西南交通大学学报,2016,51(1):14-21.LI Tao,JIANG Yonghua,ZHU Lianhua,et al.A novel method for calculating stress and deformation of supporting pile considering pile-soil interaction[J].Journal of Southwest Jiaotong University,2016,51(1):14-21.
[17] 李涛,朱连华,李彬如,等.深基坑开挖土拱效应影响因素研究[J].中国矿业大学学报,2017,46(1):58-65.LI Tao,ZHU Lianhua,LI Binru,et al.Study of the influence factors of soil arching effect for deep foundation pit excavation[J].Journal of China University of Mining & Technology,2017,46(1):58-65.
[18] 马康,刘辉,李维滨.土岩组合地质条件下适宜嵌岩深度分析[J].中国矿业大学学报,2018,47(4):846-852.MA Kang,LIU Hui,LI Weibin.Appropriate rock-rocketed depth under geological conditions of soil and rock combination[J].Journal of China University of Mining & Technology,2018,47(4):846-852.
[19] 黄运飞.深基坑工程实用技术[M].北京:兵器工业出版社,1996:4-21.HUANG Yunfei.Practical technology of deep foundation pit engineering[M].Beijing:Ordnance Industry Press,1996:4-21.
[20] 吴恒立.计算推力桩的综合刚度原理和双参数法[M].北京:人民交通出版社,2000:212-257.WU Hengli.The comprehensive stiffness principle and the two-parameter method of the thrust pile are calculated[M].Beijing:People’s Communications Press,2000:212-257.
[21] 龙驭球.弹性地基梁的计算[M].北京:人民教育出版社,1981:146-179.LONG Yuqiu.Calculation of beam on elastic foundation[M].Beijing:People’s Education Press,1981:146-179.
[2] CHANG Y L.Discussion on “Lateral pile-loading tests” by Feagin[J].Transaction ASCE,1937,102(65):272-278.
[3] ROWE P W.The single pile subject to horizontal force[J].Geotechnique,1956,6(2):70-85.
[4] MATLOCK H,REESE L C.Generalized solutions for laterally loaded piles[J].Geotechnical Special Publication,1960,127(118):1220-1248.
[5] PALMER L A,BROWN P P.Part Ⅱ:Analysis of pressure deflection,moment,and shear by the method of difference equations,symposium on lateral load tests on piles[J].ASTM International,1955,33(154):22-44.
[6] 中华人民共和国住房和城乡建设部.建筑桩基技术规范:JGJ 94—2008[S].北京:中国建筑工业出版社,2008:15-48.Ministry of housing and urban-rural development of the People’s Republic of China.Technical specification for building pile foundation:JGJ 94—2008[S].Beijing:China Building Industry Press,2008:15-48.
[7] BROMS B B.Lateral resistance of piles in cohesive soils[J].Journal of the Soil Mechanics and Foundations Division,1964,90(3):123-156.
[8] 周铭.弹性桩与弹性梁通解[J].岩土工程学报,1982,4(1):1-15.ZHOU Ming.General solution for elastic pile and elastic beam[J].Chinese Journal Geotechnical Engineering,1982,4(1):1-15.
[9] 吴恒立.推力桩双参数法微分方程的通解[J].重庆交通学院学报,1985,4(3):19-27.WU Hengli.A general solution of differential equation of double parameter method used in design of laterally loaded piles[J].Journal of Chongqing Jiaotong University,1985,4(3):19-27.
[10] 吴恒立.推力桩计算方法的研究[J].土木工程学报,1995,28(2):20-28.WU Hengli.Study on calculation method of laterally loaded pile[J].China Civil Engineering Journal,1995,28(2):20-28.
[11] 杨维好,王衍森.顶部弹性嵌固、底部嵌固桩的稳定性分析[J].中国矿业大学学报,1999,28(6):544-546.YANG Weihao,WANG Yansen.Axial buckling analysis for pile elastically fixed at top and fixed at bottom[J].Journal of China University of Mining &Technology,1999,28(6):544-546.
[12] 肖启扬.多支撑挡土结构考虑开挖过程计算方法参数的敏感性分析[J].黎明职业大学学报,2008,12(1):27-30.XIAO Qiyang.Multi-Support retaining structure considering the sensitivity analysis of the parameters of the excavation process calculation method[J].Journal of Liming Vocational University,2008,12(1):27-30.
[13] 伊晓东,黄鹏,王智超.土岩二元地区深基坑桩锚支护结构变形分析[J].地下空间与工程学报,2013,9(增1):1549-1553.YIN Xiaodong,HUANG Peng,WANG Zhichao.The deformation analysis of pile-anchor supporting system of deep foundation pit in soil-rock dualistic area[J].Chinese Journal of Underground Space and Engineering,2013,9(Sup 1):1549-1553.
[14] 戴自航,王云凤,卢才金.水平荷载单桩计算的综合刚度和双参数法杆系有限元数值解[J].岩石力学与工程学报,2016,35(10):2115-2123.DAI Zihang,WANG Yunfeng,LU Caijin.Numerical solution of link finite element based on composite stiffness and bi-parameter method for computation of laterally loaded single pile[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(10):2115-2123.
[15] 窦国涛,夏军武,杨远征,等.采动区刚性墙体侧土压力试验研究[J].中国矿业大学学报,2017,46(1):215-221.DOU Guotao,XIA Junwu,YANG Yuanzheng,et al.Experiment study of lateral earth pressure on rigid wall in mining area[J].Journal of China University of Mining & Technology,2017,46(1):215-221.
[16] 李涛,江永华,朱连华,等.桩-土相互作用支护桩受力变形计算方法[J].西南交通大学学报,2016,51(1):14-21.LI Tao,JIANG Yonghua,ZHU Lianhua,et al.A novel method for calculating stress and deformation of supporting pile considering pile-soil interaction[J].Journal of Southwest Jiaotong University,2016,51(1):14-21.
[17] 李涛,朱连华,李彬如,等.深基坑开挖土拱效应影响因素研究[J].中国矿业大学学报,2017,46(1):58-65.LI Tao,ZHU Lianhua,LI Binru,et al.Study of the influence factors of soil arching effect for deep foundation pit excavation[J].Journal of China University of Mining & Technology,2017,46(1):58-65.
[18] 马康,刘辉,李维滨.土岩组合地质条件下适宜嵌岩深度分析[J].中国矿业大学学报,2018,47(4):846-852.MA Kang,LIU Hui,LI Weibin.Appropriate rock-rocketed depth under geological conditions of soil and rock combination[J].Journal of China University of Mining & Technology,2018,47(4):846-852.
[19] 黄运飞.深基坑工程实用技术[M].北京:兵器工业出版社,1996:4-21.HUANG Yunfei.Practical technology of deep foundation pit engineering[M].Beijing:Ordnance Industry Press,1996:4-21.
[20] 吴恒立.计算推力桩的综合刚度原理和双参数法[M].北京:人民交通出版社,2000:212-257.WU Hengli.The comprehensive stiffness principle and the two-parameter method of the thrust pile are calculated[M].Beijing:People’s Communications Press,2000:212-257.
[21] 龙驭球.弹性地基梁的计算[M].北京:人民教育出版社,1981:146-179.LONG Yuqiu.Calculation of beam on elastic foundation[M].Beijing:People’s Education Press,1981:146-179.