基于Pasternak地基的盾构隧道开挖非连续地下管线的挠曲
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摘要
盾构隧道开挖引起地下管线挠曲的准确预估对于其损伤评估与防护控制至关重要。引入Pasternak地基模型,采用有限差分方法推导了盾构隧道开挖地层损失下带接头管线的挠曲解答。经与离心机模型试验结果及连续弹性解对比,验证了该理论解答的适用性及其在运算效率方面的优势,并给出了地基剪切刚度的取值建议。参数分析发现,接头刚度会对管线挠曲产生显著影响,随接头刚度的增大,管线最大挠度降低,挠曲线形态趋近于连续管线;此外,接头数量及其分布也会对管线挠曲产生影响,其影响程度随接头数量的增大而削弱。
An accurate prediction of deflections of the buried pipelines induced by shield tunnelling is essential to their damage evaluation and control. By introducing the Pasternak foundation model, the finite difference method is used to deduce a solution to the deflections of jointed pipelines subject to shield tunnelling-induced ground loss. The applicability of this solution and its advantage in computational efficiency are verified by the results of a centrifuge model test and the elastic-continuum solution.Furthermore, a proposal is made for determination of the value of the subgrade shear stiffness. Afterwards, the parametric studies show that the deflection of the pipeline is significantly influenced by the stiffness of the joints. With the increase of their stiffness, the maximum deflection of the pipeline decreases, and the deflection of a jointed pipeline approaches to that of a continuous one. In addition, the deflection of the pipeline is affected by the amount and distribution of the joints to some extent.However, this effect decreases with an increase of the number of the joints.
An accurate prediction of deflections of the buried pipelines induced by shield tunnelling is essential to their damage evaluation and control. By introducing the Pasternak foundation model, the finite difference method is used to deduce a solution to the deflections of jointed pipelines subject to shield tunnelling-induced ground loss. The applicability of this solution and its advantage in computational efficiency are verified by the results of a centrifuge model test and the elastic-continuum solution.Furthermore, a proposal is made for determination of the value of the subgrade shear stiffness. Afterwards, the parametric studies show that the deflection of the pipeline is significantly influenced by the stiffness of the joints. With the increase of their stiffness, the maximum deflection of the pipeline decreases, and the deflection of a jointed pipeline approaches to that of a continuous one. In addition, the deflection of the pipeline is affected by the amount and distribution of the joints to some extent.However, this effect decreases with an increase of the number of the joints.
引文
[1]ATTEWELL P B,YEATES J,SELBY A R.Soil movements induced by tunnelling and their effects on pipelines and structures[M].New York:Chapman and Hall,1986.
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[4]KLAR A,MARSHALL A M.Shell versus beam representation of pipes in the evaluation of tunneling effects on pipelines[J].Tunnelling and Underground Space Technology,2008,23(4):431-437.
[5]KLAR A,MARSHALL A M.Linear elastic tunnel pipeline interaction:the existence and consequence of volume loss equality[J].Géotechnique,2015,65(9):788-792.
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[11]WANG Y,MOORE I D.Simplified design equations for joints in buried flexible pipes based on Hetényi Solutions[J].Journal of Geotechnical and Geoenvironmental Engineering,2014,140(3):04013020.
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[14]张陈蓉,俞剑,黄茂松.隧道开挖对邻近非连续接口地埋管线的影响分析[J].岩土工程学报,2013,35(6):1018-1026.(ZHANG Chen-rong,YU Jian,HUANG Mao-song.Responses of adjacent underground jointed pipelines induced by tunneling[J].Chinese Journal of Geotechnical Engineering,2013,35(6):1018-1026.(in Chinese))
[15]SHI J,WANG Y,NG C W.Numerical parametric study of tunneling-induced joint rotation angle in jointed pipelines[J].Canadian Geotechnical Journal,2016,53(12):2058-2071.
[16]PASTERNAK P L.On a new method of analysis of an elastic foundation by means of two foundation constants[J].Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture,1954,Moscow,USSR.(in Russian)
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[18]PECK R B.Deep excavations and tunneling in soft ground[C]//Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering.Mexico City,1969:225-290.
[19]王磊,李家宝.结构分析的有限差分法[M].北京:人民交通出版社,1982:4-11.(WANG Lei,LI Jia-bao.Finite difference method in structural analysis[M].Beijing:China Communications Press,1982:4-11.(in Chinese))
[20]SELVADURAI A P S,GLADWELL G M L.Elastic analysis of soil-foundation interaction[M].New York:Elsevier Scientific Publishing Company,1979:14-27.
[21]YU J,ZHANG C R,HUANG M S.Soil-pipe interaction due to tunnelling:assessment of Winkler modulus for underground pipelines[J].Computers and Geotechnics,2013,50(5):17-28.
[22]VORSTER T E B.Effects of tunnelling on buried pipes[D].London:University of Cambridge,2006.
[23]徐凌.软土盾构隧道纵向沉降研究[D].上海:同济大学,2005.(XU Ling.Study on the longitudinal settlement of shield tunnel in soft soil[D].Shanghai:Tongji University,2005.(in Chinese))
[2]VESIC A B.Bending of beams resting on isotropic elastic solid[J].Journal of the Engineering Mechanics Division,1961,87(2):35-54.
[3]KLAR A,VORSTER T,SOGA K,et al.Soil-pipe interaction due to tunnelling:comparison between Winkler and elastic continuum solutions[J].Géotechnique,2005,55(6):461-466.
[4]KLAR A,MARSHALL A M.Shell versus beam representation of pipes in the evaluation of tunneling effects on pipelines[J].Tunnelling and Underground Space Technology,2008,23(4):431-437.
[5]KLAR A,MARSHALL A M.Linear elastic tunnel pipeline interaction:the existence and consequence of volume loss equality[J].Géotechnique,2015,65(9):788-792.
[6]VORSTER T E B,KLAR A,SOGA K,et al.Estimating the effects of tunneling on existing pipelines[J].Journal of Geotechnical and Geoenvironmental Engineering,2005,131(11):1399-1410.
[7]MARSHALL A M,KLAR A,MAIR R.Tunneling beneath buried pipes:view of soil strain and its effect on pipeline behavior[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(12):1664-1672.
[8]KLAR A,ELKAYAM I,MARSHALL A M.Design oriented linear-equivalent approach for evaluating the effect of tunneling on pipelines[J].Journal of Geotechnical and Geoenvironmental Engineering,2016,142(1):04015062.
[9]王正兴,缪林昌,王冉冉,等.砂土中隧道施工对相邻垂直连续管线位移影响的模型试验研究[J].岩土力学,2013,34(增刊2):143-149.(WANG Zheng-xing,MIAOLin-chang,WANG Ran-ran,et al.Model test study of vertical buried continuous pipelines displacements affected by tunnelling in sand[J].Rock and Soil Mechanics,2013,34(S2):143-149.(in Chinese))
[10]SHI J W,WANG Y,NG C W W.Three-dimensional centrifuge modeling of ground and pipeline response to tunnel excavation[J].Journal of Geotechnical and Geoenvironmental Engineering,2016,142(11):04016054.
[11]WANG Y,MOORE I D.Simplified design equations for joints in buried flexible pipes based on Hetényi Solutions[J].Journal of Geotechnical and Geoenvironmental Engineering,2014,140(3):04013020.
[12]KLAR A,MARSHALL A M,SOGA K,et al.Tunneling effects on jointed pipelines[J].Canadian Geotechnical Journal,2008,45(1):131-139.
[13]ZHANG C R,YU J,HUANG M S.Effects of tunnelling on existing pipelines in layered soils[J].Computers and Geotechnics,2012,43:12-25.
[14]张陈蓉,俞剑,黄茂松.隧道开挖对邻近非连续接口地埋管线的影响分析[J].岩土工程学报,2013,35(6):1018-1026.(ZHANG Chen-rong,YU Jian,HUANG Mao-song.Responses of adjacent underground jointed pipelines induced by tunneling[J].Chinese Journal of Geotechnical Engineering,2013,35(6):1018-1026.(in Chinese))
[15]SHI J,WANG Y,NG C W.Numerical parametric study of tunneling-induced joint rotation angle in jointed pipelines[J].Canadian Geotechnical Journal,2016,53(12):2058-2071.
[16]PASTERNAK P L.On a new method of analysis of an elastic foundation by means of two foundation constants[J].Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture,1954,Moscow,USSR.(in Russian)
[17]孙训方,方孝淑,关来泰.材料力学(I)[M].北京:中国铁道出版社,2002:156-160.(SUN Xun-fang,FANGXiao-shu,GUAN Lai-tai.Mechanics of meterial(I)[M].Beijing:China Science Publishing House,2002:156-160.(in Chinese))
[18]PECK R B.Deep excavations and tunneling in soft ground[C]//Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering.Mexico City,1969:225-290.
[19]王磊,李家宝.结构分析的有限差分法[M].北京:人民交通出版社,1982:4-11.(WANG Lei,LI Jia-bao.Finite difference method in structural analysis[M].Beijing:China Communications Press,1982:4-11.(in Chinese))
[20]SELVADURAI A P S,GLADWELL G M L.Elastic analysis of soil-foundation interaction[M].New York:Elsevier Scientific Publishing Company,1979:14-27.
[21]YU J,ZHANG C R,HUANG M S.Soil-pipe interaction due to tunnelling:assessment of Winkler modulus for underground pipelines[J].Computers and Geotechnics,2013,50(5):17-28.
[22]VORSTER T E B.Effects of tunnelling on buried pipes[D].London:University of Cambridge,2006.
[23]徐凌.软土盾构隧道纵向沉降研究[D].上海:同济大学,2005.(XU Ling.Study on the longitudinal settlement of shield tunnel in soft soil[D].Shanghai:Tongji University,2005.(in Chinese))
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