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循环荷载作用下不均质地层中盾构隧道纵向响应研究
引用本文:方宇翔,田乙,康成,吴文兵,梁荣柱.循环荷载作用下不均质地层中盾构隧道纵向响应研究[J].西北地震学报,2019,41(1):42-50.
作者姓名:方宇翔  田乙  康成  吴文兵  梁荣柱
作者单位:中国地质大学(武汉)工程学院, 湖北 武汉 430074,中国地质大学(武汉)工程学院, 湖北 武汉 430074,中国地质大学(武汉)工程学院, 湖北 武汉 430074,中国地质大学(武汉)工程学院, 湖北 武汉 430074,中国地质大学(武汉)工程学院, 湖北 武汉 430074
基金项目:湖北省自然科学基金项目(2018CFB179);中国地质大学(武汉)教学实验室开放基金(SKJ2018091,SKJ2017142)
摘    要:修建在纵向不均质地层中的地铁隧道,由于列车循环荷载的作用,会导致隧道下部的土体产生不均匀沉降,对既有隧道产生不利的影响。针对这一问题,提出考虑隧道剪切效应的地基不均匀沉降对既有隧道竖向变形影响的解析解。既有隧道简化为搁置在Winkler地基上的Timoshenko梁,通过两阶段分析法,分析下卧地层不均匀沉降引起的隧道响应。首先确定列车荷载引起的动偏应力,并运用土层的力学指标计算出静偏应力和破坏偏应力。然后运用累积应变的经验公式计算出隧道下部土体的累计沉降,将土体的沉降转化为力施加在隧道上。基于Timoshenko梁理论,建立考虑隧道剪切效应的隧道竖向变形微分方程,求解得到隧道变形的解析解,进一步可以得到隧道的弯矩、剪力、转角、错台。

关 键 词:不均匀沉降  循环荷载  Timoshenko梁  剪切效应  竖向变形
收稿时间:2018/7/21 0:00:00

Longitudinal Response of Shield Tunnels in InhomogeneousFormations under Cyclic Loading
FANG Yuxiang,TIAN Yi,KANG Cheng,WU Wenbing and LIANG Rongzhu.Longitudinal Response of Shield Tunnels in InhomogeneousFormations under Cyclic Loading[J].Northwestern Seismological Journal,2019,41(1):42-50.
Authors:FANG Yuxiang  TIAN Yi  KANG Cheng  WU Wenbing and LIANG Rongzhu
Affiliation:Faculty of Engineering, China University of Geoscience(Wuhan), Wuhan 430074, Hubei, China,Faculty of Engineering, China University of Geoscience(Wuhan), Wuhan 430074, Hubei, China,Faculty of Engineering, China University of Geoscience(Wuhan), Wuhan 430074, Hubei, China,Faculty of Engineering, China University of Geoscience(Wuhan), Wuhan 430074, Hubei, China and Faculty of Engineering, China University of Geoscience(Wuhan), Wuhan 430074, Hubei, China
Abstract:Subway tunnels built in longitudinal inhomogeneous formations will inevitably cause the differential settlement of the underlying soil because of the cyclic loading of trains. Differential soil settlement, in turn, adversely affects the safety of existing tunnels. An analytical solution for the effect of differential foundation settlement on the vertical deformation of existing tunnels and that considers the tunnel shear effect was proposed. The existing tunnel was assumed as a Timoshenko beam resting on a Winkler foundation. The two-stage approach was used to analyze the tunnel response caused by differential soil settlement. First, the dynamic deviator stress caused by the cyclic loading of trains was determined, and static deviator stress and failure deviator stress were calculated by using soil mechanical indexes. Second, the cumulative settlement of the soil underlying the tunnel was calculated by using the empirical equation of cumulative plastic strain and then transformed into the force imposed on the underlying shield tunnel. Finally, the differential equations for tunnel vertical deformation accounting for the shear effect of tunnel were established on the basis of Timoshenko beam theory. Then, the analytical solution was obtained through calculation, and the tunnel internal forces, including tunnel bending moment, shear force, rotation angle, and dislocation between adjacent rings, were further obtained in accordance with the proposed analytical method.
Keywords:differential settlement  cyclic loading  Timoshenko beam  shear effect  vertical deformation
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