地面堆载引起下卧盾构隧道剪切错台变形计算研究
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摘要
采用Boussinesq公式求解得到地面堆载工况下隧道轴线处的土体附加应力;基于剪切错台模型,运用最小势能原理计算得到下卧地铁盾构隧道的纵向位移以及相邻盾构衬砌环之间的错台量和环间剪切力。通过算例分析,研究堆载面荷载q、堆载偏移距离s、隧道上部覆土厚度h以及堆载尺寸B和L对隧道纵向位移的影响。研究结果表明:q越大,盾构隧道的沉降量就越大,但隧道沉降影响范围并没有增大;随着s增大,隧道沉降量越来越小且沉降量减小的速率加快,隧道的水平位移则先增大后减小;随着h增加,隧道最大沉降减小,同时隧道沉降影响范围加大;B的改变对隧道竖向位移影响非常小,L的改变对隧道沉降量及范围的影响较大;隧道的竖向位移要明显大于隧道的水平位移。
The additional stress on the axis of shield tunnel was calculated by using the Boussinesq formula due to the adjacent ground stacked load. Then with the shearing dislocation platform model the vertical displacement, the dislocation of adjacent segments and the interannular shearing force of the subway shield tunnel in the sub-layer were calculated. In addition, an example analysis was made to study the influence on value of ground stacked load q, the offset distance of the ground stacked load s, the thickness of covering soil upon the shield tunnel h and the shield tunnel and the size of ground stacked load B and L. The results show that the bigger the numerical value of stacked load q is, the bigger the settlement of the shield tunnel is, but the influence range of the shield tunnel's settlement does not become bigger. The bigger the distance between the shield tunnel and the center of the ground stacked load is, the smaller the settlement of the shield tunnel is, and the shrinking speed of the settlement is bigger. As the offset distance s becomes bigger, the horizontal displacement of shield tunnel increases first and then shrinks. The thicker the covering soil is, the smaller the maximum settlement of the shield tunnel is, but the influence range of settlement of shield tunnel is bigger. The change of length of ground stacked load has a bigger influence on the settlement of the shield tunnel. The settlement of the shield tunnel is bigger than its horizontal displacement.
The additional stress on the axis of shield tunnel was calculated by using the Boussinesq formula due to the adjacent ground stacked load. Then with the shearing dislocation platform model the vertical displacement, the dislocation of adjacent segments and the interannular shearing force of the subway shield tunnel in the sub-layer were calculated. In addition, an example analysis was made to study the influence on value of ground stacked load q, the offset distance of the ground stacked load s, the thickness of covering soil upon the shield tunnel h and the shield tunnel and the size of ground stacked load B and L. The results show that the bigger the numerical value of stacked load q is, the bigger the settlement of the shield tunnel is, but the influence range of the shield tunnel's settlement does not become bigger. The bigger the distance between the shield tunnel and the center of the ground stacked load is, the smaller the settlement of the shield tunnel is, and the shrinking speed of the settlement is bigger. As the offset distance s becomes bigger, the horizontal displacement of shield tunnel increases first and then shrinks. The thicker the covering soil is, the smaller the maximum settlement of the shield tunnel is, but the influence range of settlement of shield tunnel is bigger. The change of length of ground stacked load has a bigger influence on the settlement of the shield tunnel. The settlement of the shield tunnel is bigger than its horizontal displacement.
引文
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[12]张明告,周顺华,黄大维,等.地表超载对地铁盾构隧道的影响分析[J].岩土力学,2016,37(8):2271-2278.ZHANG Minggao,ZHOU Shunhua,HUAN Dawei,et al.Analysis of influence of surface surcharge on subway shield tunnel under[J].Rock and Soil Mechanics,2016,37(8):2271-2278.
[13]王如路.上海地铁盾构隧道纵向变形分析[J].地下工程与隧道,2009(4):1-6.WANG Rulu.Longitudinal deformation analysis for Shanghai subway tunnel constructed by shield method[J].Underground Engineering and Tunnels,2009(4):1-6.
[14]梁发云,褚峰,宋著,等.紧邻地铁枢纽深基坑变形特性离心模型试验研究[J].岩土力学,2012,33(3):657-664.LIANG Fayun,CHU Feng,SONG Zhu,et al.Centrifugal model test research on deformation behaviors of deep foundation pit adjacent to metro stations[J].Rock and Soil Mechanics,2012,33(3):657-664.
[15]SHEN Shuilong,WU Huaina,CUI Yujun,et al.Long-term settlement behavior of metro tunnels in the soft deposits of Shanghai[J].Tunnelling and Underground Space Technology,2014,40:309-323.
[16]刘晓强,梁发云,张浩,等.隧道穿越引起地下管线竖向位移的能量变分分析方法[J].岩土力学,2014,35(增刊2):217-222,231.LIU Xiaoqiang,LIANG Fayun,ZHANG Hao.Energy variational solution for settlement of buried pipeline induced by tunneling[J].Rock and Soil Mechanics,2014,35(Supp.2):217-222,231.
[17]VESIC A B.Bending of beams resting on isotropic elastic solids[J].Journal of Engineering Mechanics,1961,87(2):35-53.
[18]周顺华,何超,肖军华.环间错台效应下基坑开挖引起临近地铁盾构隧道变形的能量计算法[J].中国铁道科学,2016,37(2):53-60.ZHOU Shunhua,HE Chao,Xiao Junhua.Energy method for calculating deformation of adjacent shield tunnels due to foundation pit excavation considering step between rings[J].China Railway Science,2016,37(2):53-60.
[19]陈郁,李永盛.基坑开挖卸载引起下卧隧道隆起的计算方法[J].地下空间与工程学报,2005,1(1):91-94.CHEN Yu,LI Yongsheng.The calculation method of the uplift of the lower tunnel caused by excavation unloading[J].Journal of Underground Space and Engineering,2005,1(1):91-94.
[20]上海市政法(94)第854号,上海市地铁沿线建筑施工保护地铁技术管理暂行规定[S].Shanghai Metro Line 854th(94),Interim provisions of Shanghai Municipality on the administration of the technical management of subway construction and protection[S].
[21]林盼达,张冬梅,闫静雅.运营盾构隧道结构安全评估方法研究[J].隧道建设,2015,35(增刊2):43-49.LIN Panda,ZHANG Dongmei,YAN Jinya.Study on assessment method for structural safety of operating shield-bored tunnels[J].Tunnel Construction,2015,35(Supp.2):43-49.
[2]邵华,黄宏伟,张东明,等.突发堆载引起软土地铁盾构隧道大变形整治研究[J].岩土工程学报,2016,38(6):1036-1043.SHAO Hua,HUANG Hongwei,ZHANG Dongming,et al.Case study on repair work for excessively deformed shield tunnel under accidental surface surcharge in soft clay[J].Chinese Journal of Geotechnical Engineering,2016,38(6):1036-1043.
[3]HUANG Hongwei,ZHANG Dongming.Resilience analysis of shield tunnel lining under extreme surcharge:Characterization and field application[J].Tunneling and Underground Space Technology,2016,51:301-312.
[4]徐志发,王颖轶,董越鹏,等.地面超载对大型盾构施工扰动位移的影响[J].交通建设与管理,2010(5):170-180.XU Zhifa,WANG Yingtie,DONG Yupeng,et al.Influence of ground overload on the displacement of large shield construction[J].Traffic Construction and Management,2010(5):170-180.
[5]王旭.地面过量堆土对某地铁隧道的影响及结构安全分析[J].城市建设理论研究,2013(12):1-7.WANG Xu.Analysis of the influence of ground excess soil pile on a metro tunnel and its structural safety[J].Theoretical Research on Urban Construction,2013(12):1-7.
[6]李春良,王国强,赵凯军,等.地面荷载作用盾构隧道纵向力学行为[J].吉林大学学报(工学报),2011,41(增2):180-184.LI Chunliang,WANG Guoqiang,ZHAO Kaijun,et al.Vertical mechanical behavior of shield tunnel under loads on ground surface[J].Journal of Jilin University(Engineering and Technology Edition),2011,41(Supp.2):180-184.
[7]姜启元,管攀峰,叶蓉.软土盾构隧道的纵向变形分析[J].地下工程与隧道,1999(4):2-6,21.JIANG Qiyuan,GUAN Panfeng,YE Rong.Analysis of longitudinal deformation of shield tunnel in soft soil[J].Underground Engineering and Tunnel,1999(4):2-6,21.
[8]侯芳.均布荷载作用下温克勒弹性地基梁解析解及其在盾构隧道纵向计算中的应用[D].青岛:青岛理工大学土木工程学院,2009:17-37.HOU Fang.Analytical solution of Winkler elastic foundation beam under uniform load and its application in longitudinal calculation of shield tunnel[D].Qingdao:Qingdao Technological University.College of Civil Engineering,2009:17-37.
[9]戴宏伟,陈仁朋,陈云敏.地面新施工荷载对临近地铁隧道纵向变形的影响分析研究[J].岩土工程学报,2006,28(3):313-317.DAI Hongwei,CHEN Renpeng,CHEN Yunming.Study on the influence of new construction loads on longitudinal deformation of adjacent metro tunnels[J].Chinese Journal of Geotechnical Engineering,2006,28(3):313-317.
[10]王如路,张冬梅.超载作用下软土盾构隧道横向变形机理及控制指标研究[J].岩土工程学报,2013,35(6):1092-1101.WANG Rulu,ZHANG Dongmei.Mechanism of transverse deformation and assessment index for shield tunnels in soft clay under surface surcharge[J].Chinese Journal of Geotechnical Engineering,2013,35(6):1092-1101.
[11]吴庆,杜守继.地面堆载对既有盾构隧道结构影响的试验研究[J].地下空间与工程学报,2014,10(1):57-66.WU Qing,DU Shouji.Model test on influence of ground heaped load on existing shield tunnel structure[J].Journal of Underground Space and Engineering,2014,10(1):57-66.
[12]张明告,周顺华,黄大维,等.地表超载对地铁盾构隧道的影响分析[J].岩土力学,2016,37(8):2271-2278.ZHANG Minggao,ZHOU Shunhua,HUAN Dawei,et al.Analysis of influence of surface surcharge on subway shield tunnel under[J].Rock and Soil Mechanics,2016,37(8):2271-2278.
[13]王如路.上海地铁盾构隧道纵向变形分析[J].地下工程与隧道,2009(4):1-6.WANG Rulu.Longitudinal deformation analysis for Shanghai subway tunnel constructed by shield method[J].Underground Engineering and Tunnels,2009(4):1-6.
[14]梁发云,褚峰,宋著,等.紧邻地铁枢纽深基坑变形特性离心模型试验研究[J].岩土力学,2012,33(3):657-664.LIANG Fayun,CHU Feng,SONG Zhu,et al.Centrifugal model test research on deformation behaviors of deep foundation pit adjacent to metro stations[J].Rock and Soil Mechanics,2012,33(3):657-664.
[15]SHEN Shuilong,WU Huaina,CUI Yujun,et al.Long-term settlement behavior of metro tunnels in the soft deposits of Shanghai[J].Tunnelling and Underground Space Technology,2014,40:309-323.
[16]刘晓强,梁发云,张浩,等.隧道穿越引起地下管线竖向位移的能量变分分析方法[J].岩土力学,2014,35(增刊2):217-222,231.LIU Xiaoqiang,LIANG Fayun,ZHANG Hao.Energy variational solution for settlement of buried pipeline induced by tunneling[J].Rock and Soil Mechanics,2014,35(Supp.2):217-222,231.
[17]VESIC A B.Bending of beams resting on isotropic elastic solids[J].Journal of Engineering Mechanics,1961,87(2):35-53.
[18]周顺华,何超,肖军华.环间错台效应下基坑开挖引起临近地铁盾构隧道变形的能量计算法[J].中国铁道科学,2016,37(2):53-60.ZHOU Shunhua,HE Chao,Xiao Junhua.Energy method for calculating deformation of adjacent shield tunnels due to foundation pit excavation considering step between rings[J].China Railway Science,2016,37(2):53-60.
[19]陈郁,李永盛.基坑开挖卸载引起下卧隧道隆起的计算方法[J].地下空间与工程学报,2005,1(1):91-94.CHEN Yu,LI Yongsheng.The calculation method of the uplift of the lower tunnel caused by excavation unloading[J].Journal of Underground Space and Engineering,2005,1(1):91-94.
[20]上海市政法(94)第854号,上海市地铁沿线建筑施工保护地铁技术管理暂行规定[S].Shanghai Metro Line 854th(94),Interim provisions of Shanghai Municipality on the administration of the technical management of subway construction and protection[S].
[21]林盼达,张冬梅,闫静雅.运营盾构隧道结构安全评估方法研究[J].隧道建设,2015,35(增刊2):43-49.LIN Panda,ZHANG Dongmei,YAN Jinya.Study on assessment method for structural safety of operating shield-bored tunnels[J].Tunnel Construction,2015,35(Supp.2):43-49.