盾构隧道抗震设计计算的解析解
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摘要
基于拟静力假定,采用平面弹性理论的复变函数方法,利用土与结构间的力和位移协调条件,推导出地震中自由场土体剪应变最大时刻土–结构间不滑移和完全滑移两种接触条件下,圆形衬砌动内力的解析解,并与数值算例进行对比。结果表明,该解析解具有较好的精度,是简便、实用的计算方法。
Based on quasi-static assumption,an analytical procedure is presented for evaluating the dynamic stresses in linings of shield tunnels under no slip and full slip contacting condition between structure and surrounding soil when the shear strain of free-field arrives at the maximum value during earthquake.Using force and displacement continuous conditions between structure and surrounding soilt,he complex variable function and conformal transformation of plane elastic theory are used to derive the analytical solution.According to comparison,the analytical solution matches the numerical solution well.It is a simple,convenient and practical calculation method.
Based on quasi-static assumption,an analytical procedure is presented for evaluating the dynamic stresses in linings of shield tunnels under no slip and full slip contacting condition between structure and surrounding soil when the shear strain of free-field arrives at the maximum value during earthquake.Using force and displacement continuous conditions between structure and surrounding soilt,he complex variable function and conformal transformation of plane elastic theory are used to derive the analytical solution.According to comparison,the analytical solution matches the numerical solution well.It is a simple,convenient and practical calculation method.
引文
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[14]徐芝纶.弹性力学[M].北京:高等教育出版社,1990.(XU Zhilun.Mechanics of elasticity[M].Beijing:Higher Education Press,1990.(in Chinese))
[15]杨林德,李文艺,祝龙根,等.上海市地铁区间隧道和车站的地震灾害与防治对策研究[R].上海:同济大学,上海防灾救灾研究所,1999.(YANG Linde,LI Wenyi,ZHU Longgen,et al.Research on disaster prevention for tunnel and metro station in Shanghai[R].Shanghai:Tongji University,Shanghai Institute of Disaster Prevention and Relief,1999.(in Chinese))
[2]WANG J N.Seismic design of tunnels:a simple state-of-the-art approach[M].[S.l.]:Parsons Brinkerho Quade and Douglas Inc.,1993.
[3]HUO H,BOBET A,FERNANDEZ G,et al.Load transfer mechanisms between underground structure and surrounding ground:evaluation of the failure of the Daikai Station[J].Journal of Geotechnical and Geoenvironmental Engineering,2005,131(12):1 522–1 533.
[4]LIU H B,SONG E X.Seismic response of large underground structures in liquefiable soils subjected to horizontal and vertical earthquake excitations[J].Computers and Geotechnics,2005,32(4):223–244.
[5]LIU H B,SONG E X.Working mechanism of cutoff walls in reducing uplift of large underground structures induced by soil liquefaction[J].Computers and Geotechnics,2006,33(4/5):209–221.
[6]NAM S H,SONG H W,BYUN K J,et al,Seismic analysis of underground reinforced concrete structures considering elastoplastic interface element with thickness[J].Engineering Structures,2006,28(8):1 122–1 131.
[7]PENZIEN J,WU C L.Stresses in linings of bored tunnels[J].Earthquake Engineering and Structural Dynamics,1998,27(3):283–300.
[8]庄海洋,陈国兴.软弱地基浅埋地铁区间隧洞的地震反应分析[J].岩石力学与工程学报,2005,24(14):2 506–2 512.(ZHUANG Haiyang,CHEN Guoxing.Earthquake response of shallow subway tunnels in soft foundation[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2 506–2 512.(in Chinese))
[9]VERRUIJT A.A complex variable solution for a deforming circular tunnel in an elastic half plane[J].International Journal for Numerical and Analytical Method in Geomechanics,1997,21(2):77–89.
[10]VERRUIJT A.Deformation of an elastic half plane with a circular tunnel[J].International Journal of Solids and Structures,1998,35(21):2 795–2 804.
[11]EXADAKTYLOS G E,LIOLIOS P A,STAVROPOULOU M C.A semi-analytical elastic stress displacement solution for notched circular openings in rocks[J].International Journal of Solids and Structures,2003,40(5):1 165–1 187.
[12]HUO H,BOBET A,FERNANDEZ G,et al.Analytical solution for deep rectangular structures subjected to far-field shear stresses[J].Tunneling and Underground Space Technology,2006,21(6):613–625.
[13]吴家龙.弹性力学[M].北京:高等教育出版社,2002.(WU Jialong.Mechanics of elasticity[M].Beijing:Higher Education Press,2002.(in Chinese))
[14]徐芝纶.弹性力学[M].北京:高等教育出版社,1990.(XU Zhilun.Mechanics of elasticity[M].Beijing:Higher Education Press,1990.(in Chinese))
[15]杨林德,李文艺,祝龙根,等.上海市地铁区间隧道和车站的地震灾害与防治对策研究[R].上海:同济大学,上海防灾救灾研究所,1999.(YANG Linde,LI Wenyi,ZHU Longgen,et al.Research on disaster prevention for tunnel and metro station in Shanghai[R].Shanghai:Tongji University,Shanghai Institute of Disaster Prevention and Relief,1999.(in Chinese))
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