悬臂式型钢水泥土搅拌墙的水泥土承载比和墙顶位移分析
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摘要
受挡墙水泥土横向联系作用的影响,型钢水泥土搅拌墙(简称SMW工法)空间变形特性显著,由于难以量化挡墙的空间变形作用和水泥土承载能力,目前SMW工法的设计并未考虑挡墙空间变形作用和水泥土对挡墙的承载贡献。通过对悬臂式SMW工法挡墙的变形及受力进行分析,求解得到挡墙空间变形的各项应变能,根据应变能与抗力的关系,定义了空间变形效应比和水泥土的承载比,同时基于最小势能原理推求了考虑挡墙空间变形作用的墙顶位移解析解。将位移解析解与弹性支点法计算的位移值、实测位移值进行对比分析,并结合模型试验对影响SMW工法空间变形效应比和承载比的因素进行了深入讨论。结果表明:考虑空间变形作用的解析解相比弹性支点法计算结果更加接近实测值;SMW工法的挡墙高长比、水泥土的弹性模量以及墙厚对空间变形效应比和水泥土承载比有显著的影响。
Influenced by the lateral continuity effect of retaining wall's cement soil, SMW(soil mixing wall) construction method displays significant spatial deformation characteristics of retaining wall. It is difficult to quantify the spatial deformation effect of retaining walls and the bearing capacity of cement soil, the function of spatial deformation effect and contribution of cement soil to retaining walls are not taken into account during the design of SMW construction method at present. By analyzing the deformation and stress of retaining wall of cantilever type SMW construction method, the strain energy of spatial deformation of retaining wall can be obtained. Ratio of spatial deformation effect and bearing ratio of cement soil of SMW construction method are defined according to the relationship between strain energy and resistance. Meanwhile, the analytic solution of displacement of the top of the wall is derived with a consideration of the spatial deformation effect of retaining wall based on the principle of minimum potential energy. The analytic solution is compared with the displacement calculated by elastic subgrade, the monitored displacement.In-depth discussion of factors influencing the spatial deformation effect ratio and the bearing ratio of cement soil is completed with a reference to the results of the model test. The results show that the analytic solution considering the spatial deformation effect is closer to the monitored values than the elastic subgrade method. The ratio of height to length of retaining wall, the elastic modulus of cement soil and the wall thickness in SMW construction method have a significant influence on the spatial deformation effect ratio and the bearing ratio of cement soil.
Influenced by the lateral continuity effect of retaining wall's cement soil, SMW(soil mixing wall) construction method displays significant spatial deformation characteristics of retaining wall. It is difficult to quantify the spatial deformation effect of retaining walls and the bearing capacity of cement soil, the function of spatial deformation effect and contribution of cement soil to retaining walls are not taken into account during the design of SMW construction method at present. By analyzing the deformation and stress of retaining wall of cantilever type SMW construction method, the strain energy of spatial deformation of retaining wall can be obtained. Ratio of spatial deformation effect and bearing ratio of cement soil of SMW construction method are defined according to the relationship between strain energy and resistance. Meanwhile, the analytic solution of displacement of the top of the wall is derived with a consideration of the spatial deformation effect of retaining wall based on the principle of minimum potential energy. The analytic solution is compared with the displacement calculated by elastic subgrade, the monitored displacement.In-depth discussion of factors influencing the spatial deformation effect ratio and the bearing ratio of cement soil is completed with a reference to the results of the model test. The results show that the analytic solution considering the spatial deformation effect is closer to the monitored values than the elastic subgrade method. The ratio of height to length of retaining wall, the elastic modulus of cement soil and the wall thickness in SMW construction method have a significant influence on the spatial deformation effect ratio and the bearing ratio of cement soil.
引文
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[8]木林隆,黄茂松.基坑开挖引起的周边土体三维位移场的简化分析[J].岩土工程学报,2013,35(5):820-827.MU Lin-long,HUANG Mao-song.Simplified method for analysis of soil movement induced by excavations[J].Chinese Journal of Geotechnical Engineering,2013,35(5):820-827.
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[10]杨林德,仇圣华,杨志锡.基坑围护位移量及其稳定性预测[J].岩土力学,2001,22(3):267-270.YANG Lin-de,QIU Sheng-hua,YANG Zhi-xi.Prediction on displacement and stability of frame bracing structure of foundation pit[J].Rock and Soil Mechanics,2001,22(3):267-270.
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[12]舒文超.水泥搅拌桩-压顶梁支护结构空间变形分析[J].岩土力学,2003,24(4):557-560.SHU Wen-chao.Analysis of spatial deformation for cement mixing piles-ring beam supporting structure[J].Rock and Soil Mechanics,2003,24(4):557-560.
[13]许锡昌,陈善雄,徐海滨.悬臂排桩支护结构空间变形分析[J].岩土力学,2006,27(2):184-188.XU Xi-chang,CHEN Shan-xiong,XU Hai-bin.Spatial deformation analysis of cantilever soldier pile retaining structure in deep foundation pit[J].Rock and Soil Mechanics,2006,27(2):184-188.
[14]王广冰,张远芳,高盟,等.基于最小势能原理的土钉支护结构位移解析解[J].岩土工程学报,2010,32(3):415-419.WANG Guang-bing,ZHANG Yuan-fang,GAO Meng,et al.Analytical solution on the displacement of soil-nail braced structure based on the minimum potential energy principle[J].Chinese Journal of Geotechnical Engineering,2010,32(3):415-419.
[15]谷淡平.SMW工法桩土共同作用模型试验研究及数值模拟分析[D].衡阳:南华大学,2010.GU Dan-ping.Model test research and numerical simulation analysis of the interaction of pile-soil by SMWengineering method[D].Hengyang:University of South China,2010.
[16]刘燕,刘国彬,孙晓玲,等.考虑时空效应的软土地区深基坑变形分析[J].岩土工程学报,2006,28(增刊):1433-1436.LIU Yan,LIU Guo-bin,SUN Xiao-ling,et al.Analysis of deformation laws by using the rule of time-space effect in soft soil excavation[J].Chinese Journal of Geotechnical Engineering,2006,28(Suppl.):1433-1436.
[17]梅国雄,宰金珉.考虑变形的朗肯土压力模型[J].岩石力学与工程学报,2001,20(6):851-853.MEI Guo-xiong,ZAI Jin-min.Rankine earth pressure model considering deformation[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):851-853.
[18]中华人民共和国住房和城乡建设部.JGJ120-2012建筑基坑支护技术规程[S].北京:中国建筑工业出版社,2012.Ministry of Housing and Urban-Rural Development of the People’s Republic of China.JGJ 120-2012 Technical specification for retaining and protection of building foundation excavations[S].Beijing:China Architecture&Building Press,2012.
[19]郑刚,张华.型钢水泥土复合梁中型钢-水泥土相互作用试验研究[J].岩土力学,2007,28(5):939-943.ZHENG Gang,ZHANG Hua.Experimental study of interaction between cemented soil and shape steel of shaped steel reinforced cemented soil composite beam[J].Rock and Soil Mechanics,2007,28(5):939-943.
[20]凌同华,谷淡平,曹峰,等.软土地区型钢水泥土搅拌墙墙-土相互作用试验研究[J].防灾减灾工程学报,2018,38(3):409-418.LING Tong-hua,GU Dan-ping,CAO Feng,et al.Experimental study on the wall-soil interaction of soil mixing wall in soft soil area[J].Journal of Disaster Prevention and Mitigationg Engineering,2018,38(3):409-418.
[2]俞建霖,龚晓南.深基坑工程的空间性状分析[J].岩土工程学报,1999,21(1):21-25.YU Jian-lin GONG Xiao-nan.Spatial behavior analysis of deep excavation[J].Chinese Journal of Geotechnical Engineering,1999,21(1):21-25.
[3]顾士坦,施建勇.深基SMW工法模拟试验研究及工作机制分析[J].岩土力学,2008,29(4):1121-1126.GU Shi-tan,SHI Jian-yong.Simulation test&performance mechanism analysis of SMW engineering method in deep foundation pits[J].Rock and Soil Mechanics,2008,29(4):1121-1126.
[4]郑刚,李志伟,刘畅.型钢水泥土组合梁抗弯性能试验研究[J].岩土工程学报,2011,33(3):332-340.ZHENG Gang,LI Zhi-wei,LIU Chang.Experimental study on flexural behavior of shaped steel reinforced cement-soil composite beams[J].Chinese Journal of Geotechnical Engineering,2011,33(3):332-340.
[5]孔德志,张庆贺,宋杰.劲性水泥土连续墙的抗弯刚度研究[J].岩石力学与工程学报,2004,23(11):1935-1938.KONG De-zhi,ZHANG Qing-he,SONG Jie.Study on bending stiffness of reinforced continuous cement-soil wall[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(11):1935-1938.
[6]杨敏,张俊峰,王瑞祥.坑中坑挡土墙变形内力分析[J].岩土力学,2016,37(11):3270-3274.YANG Min,ZHANG Jun-feng,WANG Rui-xiang.Analysis of internal force of deformation of retaining wall in pits-in-pits[J].Rock and Soil Mechanics,2016,37(11):3270-3274.
[7]MU L,HUANG M.Small strain based method for predicting three-dimensional soil displacements induced by braced excavation[J].Tunnelling and Underground Space Technology,2016,52(2):12-22.
[8]木林隆,黄茂松.基坑开挖引起的周边土体三维位移场的简化分析[J].岩土工程学报,2013,35(5):820-827.MU Lin-long,HUANG Mao-song.Simplified method for analysis of soil movement induced by excavations[J].Chinese Journal of Geotechnical Engineering,2013,35(5):820-827.
[9]HSIUNG B C B,YANG K H,AILA W,et al.Three-dimensional effects of a deep excavation on wall deflections in loose to medium dense sands[J].Computers and Geotechnics,2016,80(10):138-151.
[10]杨林德,仇圣华,杨志锡.基坑围护位移量及其稳定性预测[J].岩土力学,2001,22(3):267-270.YANG Lin-de,QIU Sheng-hua,YANG Zhi-xi.Prediction on displacement and stability of frame bracing structure of foundation pit[J].Rock and Soil Mechanics,2001,22(3):267-270.
[11]李二兵,谭跃虎,张尚根,等.深基坑围护中地下连续墙变形的解析计算[J].解放军理工大学学报(自然科学版),2004,5(2):57-60.LI Er-bing,TAN Yue-hu,ZHANG Shang-gen,et al.Analytical calculation of deformation of diaphragm wall for conserving deep foundation pit[J].Journal of PLAUniversity of Science and Technology(Natural Science Edition),2004,5(2):57-60.
[12]舒文超.水泥搅拌桩-压顶梁支护结构空间变形分析[J].岩土力学,2003,24(4):557-560.SHU Wen-chao.Analysis of spatial deformation for cement mixing piles-ring beam supporting structure[J].Rock and Soil Mechanics,2003,24(4):557-560.
[13]许锡昌,陈善雄,徐海滨.悬臂排桩支护结构空间变形分析[J].岩土力学,2006,27(2):184-188.XU Xi-chang,CHEN Shan-xiong,XU Hai-bin.Spatial deformation analysis of cantilever soldier pile retaining structure in deep foundation pit[J].Rock and Soil Mechanics,2006,27(2):184-188.
[14]王广冰,张远芳,高盟,等.基于最小势能原理的土钉支护结构位移解析解[J].岩土工程学报,2010,32(3):415-419.WANG Guang-bing,ZHANG Yuan-fang,GAO Meng,et al.Analytical solution on the displacement of soil-nail braced structure based on the minimum potential energy principle[J].Chinese Journal of Geotechnical Engineering,2010,32(3):415-419.
[15]谷淡平.SMW工法桩土共同作用模型试验研究及数值模拟分析[D].衡阳:南华大学,2010.GU Dan-ping.Model test research and numerical simulation analysis of the interaction of pile-soil by SMWengineering method[D].Hengyang:University of South China,2010.
[16]刘燕,刘国彬,孙晓玲,等.考虑时空效应的软土地区深基坑变形分析[J].岩土工程学报,2006,28(增刊):1433-1436.LIU Yan,LIU Guo-bin,SUN Xiao-ling,et al.Analysis of deformation laws by using the rule of time-space effect in soft soil excavation[J].Chinese Journal of Geotechnical Engineering,2006,28(Suppl.):1433-1436.
[17]梅国雄,宰金珉.考虑变形的朗肯土压力模型[J].岩石力学与工程学报,2001,20(6):851-853.MEI Guo-xiong,ZAI Jin-min.Rankine earth pressure model considering deformation[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):851-853.
[18]中华人民共和国住房和城乡建设部.JGJ120-2012建筑基坑支护技术规程[S].北京:中国建筑工业出版社,2012.Ministry of Housing and Urban-Rural Development of the People’s Republic of China.JGJ 120-2012 Technical specification for retaining and protection of building foundation excavations[S].Beijing:China Architecture&Building Press,2012.
[19]郑刚,张华.型钢水泥土复合梁中型钢-水泥土相互作用试验研究[J].岩土力学,2007,28(5):939-943.ZHENG Gang,ZHANG Hua.Experimental study of interaction between cemented soil and shape steel of shaped steel reinforced cemented soil composite beam[J].Rock and Soil Mechanics,2007,28(5):939-943.
[20]凌同华,谷淡平,曹峰,等.软土地区型钢水泥土搅拌墙墙-土相互作用试验研究[J].防灾减灾工程学报,2018,38(3):409-418.LING Tong-hua,GU Dan-ping,CAO Feng,et al.Experimental study on the wall-soil interaction of soil mixing wall in soft soil area[J].Journal of Disaster Prevention and Mitigationg Engineering,2018,38(3):409-418.