基于黏弹性边界的地铁双隧道地震响应分析
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摘要
采用黏弹性边界方法和地震动输入等效节点力方法,结合通用有限元软件ANSYS,建立地铁双隧道地震响应分析问题的模型。通过与间接边界元方法文献结果比较,对整体模型进行精度验证,结果表明,黏弹性边界方法和地震动输入等效节点力方法可以获得非常满意的计算精度。分别通过平面单元和梁单元对衬砌应力进行数值模拟,结果表明,平面单元和梁单元均可以很好地模拟衬砌应力。以天津市深厚覆盖层场地中某地铁双隧道为例进行地震响应分析,研究表明,隧道间距对衬砌地震应力具有重要影响。当两个隧道相距较近时,隧道之间存在明显相互作用,最大衬砌主应力幅值有明显的提高,且衬砌最大主应力均出现在两隧道相对区域。该模型可以用于复杂场地中地下结构的抗震分析。
This paper presented seismic response analysis of metro twin tunnels based on the viscous-spring boundary and equivalent node force of earthquake excitation, combined with general finite element analysis software ANSYS. The model for metro twin tunnels in layered half-space was validated through comparisons with the results by indirect boundary element method in literature. Plane element and beam element were used to simulate liner stress, and the results show that both plane element and beam element can well simulate tunnel liner. Seismic response of metro twin tunnels in Tianjin City with thick soil layers was implemented, and the results show that tunnel interval has significant effect on the seismic stresses in tunnel liner; there is evident interaction between two tunnels when the two tunnels are close, and the maximal principal seismic stresses are increased significantly and located between two tunnels. This model can be used for seismic analysis of underground structures in complex sites.
This paper presented seismic response analysis of metro twin tunnels based on the viscous-spring boundary and equivalent node force of earthquake excitation, combined with general finite element analysis software ANSYS. The model for metro twin tunnels in layered half-space was validated through comparisons with the results by indirect boundary element method in literature. Plane element and beam element were used to simulate liner stress, and the results show that both plane element and beam element can well simulate tunnel liner. Seismic response of metro twin tunnels in Tianjin City with thick soil layers was implemented, and the results show that tunnel interval has significant effect on the seismic stresses in tunnel liner; there is evident interaction between two tunnels when the two tunnels are close, and the maximal principal seismic stresses are increased significantly and located between two tunnels. This model can be used for seismic analysis of underground structures in complex sites.
引文
[1]曹炳政,罗奇峰,马硕,等.神户大开地铁车站的地震反应分析[J].地震工程与工程振动,2002,22(4):102-107(Cao Bingzheng,Luo Qifeng,Ma Shuo,et al.Seismic response analysis of Dakai subway station in Hyogokenn a m b u e a r t h q u a k e[J].E a r t h q u a k e E n g i n e e r i n g a n d Engineering Vibration,2002,22(4):102-107(in Chinese))
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[3]王国波,马险峰,杨林德.软土地铁车站结构及隧道的三维地震响应分析[J].岩土力学,2009,30(8):2523-2528(Wang Guobo,Ma Xianfeng,Yang Linde.Threedimensional seismic response analysis of metro station structures and tunnels in soft soil[J].Rock and Soil Mechanics,2009,30(8):2523-2528(in Chinese))
[4]庄海洋,陈国兴.双洞单轨地铁区间隧道非线性地震反应分析[J].地震工程与工程振动,2006,26(2):131-137(Zhuang Haiyang,Chen Guoxing.Analysis of nonlinear earthquake response of metro double-tunnels[J].Earthquake Engineering and Engineering Vibration,2006,26(2):131-137(in Chinese))
[5]林立民,陈健云.软土中浅埋地铁车站结构的抗震性能分析[J].防灾减灾工程学报,2006,26(3):268-273(Lin Limin,Chen Jianyun.Analysis of earthquake-resistant capacity of shallow-buried subway station structures in soft soil[J].Journal of Disaster Prevention and Mitigation Engineering,2006,26(3):268-273(in Chinese))
[6]袁勇,禹海涛,陈之毅.软土中浅埋框架结构抗震计算方法评价[J].振动与冲击,2009,28(8):50-56(Yuan Yong,Yu Haitao,Chen Zhiyi.Evaluation of seismic calculation methods for shallow-buried frame structures in soft soil[J].Journal of Vibration and Shock,2009,28(8):50-56(in Chinese))
[7]孔戈,周健,徐建平,等.盾构隧道横向地震响应规律研究[J].岩石力学与工程学报,2007,26(s1):2872-2879(Kong Ge,Zhou Jian,Xu Jianping,et al.Study on characteristics of transverse seismic response of shield tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(s1):2872-2879(in Chinese))
[8]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64(Liu Jingbo,Lu Yandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64(in Chinese))
[9]刘晶波,王艳,赵冬冬.地震波斜入射时地铁盾构隧道的动力反应分析[C]//第四届全国防震减灾工程学术研讨会论文集.福州,2009:318-322
[10]杜修力,陈维,李亮,等.斜入射条件下地下结构时域地震反应分析初探[J].震灾防御技术,2007,2(3):290-296(Du Xiuli,Chen Wei,Li Liang,et al.Preliminary study of time-domain seismic response for underground structures to obliquely incident seismic waves[J].Technology for Earthquake Disaster Prevention,2007,2(3):290-296(in Chinese))
[11]宋林,孟昭博,吴敏哲,等.双层岛式地铁车站结构地震反应分析[J].世界地震工程,2010,26(2):187-192(Song Lin,Meng Zhaobo,Wu Minzhe,et al.Dynamic response analysis of a two-layer subway station structure under earthquakes[J].World Earthquake Engineering,2010,26(2):187-192(in Chinese))
[12]刘晶波,谷音,杜义欣.一致粘弹性人工边界及黏弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075(Liu Jingbo,Gu Yin,Du Yixin.Consistent viscousspring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075(in Chinese))
[13]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[J].防灾减灾工程学报,27(s):37-42
[14]Bardet J P,Ichii K,Lin C H.EERA:A computer program for equivalent-linear earthquake site response analyses of layered soil deposits[R].Department of Civil Engineering,University of Southern California,2000
[15]Liang J W,Zhang J,Ba Z N.Amplification of in-plane seismic ground motion by group cavities in layered halfspace(I)[J].Earthquake Science,2012,25(4):275-285
[16]张季.层状场地中地铁隧道群对地震动的放大作用[D].天津大学,2012(Zhang Ji.Amplification of earthquake ground motion by metro group cavities in layered half-space[D].Tianjin University,2012(in Chinese))
[2]刘晶波,李彬,谷音.地铁盾构隧道地震反应分析[J].清华大学学报:自然科学版,2005,45(6):757-760(Liu Jingbo,Li Bin,Gu Yin.Seismic response analysis of shielded subway tunnels[J].Journal of Tsinghua University:Natural of Science and Technology,2005,45(6):757-760(in Chinese))
[3]王国波,马险峰,杨林德.软土地铁车站结构及隧道的三维地震响应分析[J].岩土力学,2009,30(8):2523-2528(Wang Guobo,Ma Xianfeng,Yang Linde.Threedimensional seismic response analysis of metro station structures and tunnels in soft soil[J].Rock and Soil Mechanics,2009,30(8):2523-2528(in Chinese))
[4]庄海洋,陈国兴.双洞单轨地铁区间隧道非线性地震反应分析[J].地震工程与工程振动,2006,26(2):131-137(Zhuang Haiyang,Chen Guoxing.Analysis of nonlinear earthquake response of metro double-tunnels[J].Earthquake Engineering and Engineering Vibration,2006,26(2):131-137(in Chinese))
[5]林立民,陈健云.软土中浅埋地铁车站结构的抗震性能分析[J].防灾减灾工程学报,2006,26(3):268-273(Lin Limin,Chen Jianyun.Analysis of earthquake-resistant capacity of shallow-buried subway station structures in soft soil[J].Journal of Disaster Prevention and Mitigation Engineering,2006,26(3):268-273(in Chinese))
[6]袁勇,禹海涛,陈之毅.软土中浅埋框架结构抗震计算方法评价[J].振动与冲击,2009,28(8):50-56(Yuan Yong,Yu Haitao,Chen Zhiyi.Evaluation of seismic calculation methods for shallow-buried frame structures in soft soil[J].Journal of Vibration and Shock,2009,28(8):50-56(in Chinese))
[7]孔戈,周健,徐建平,等.盾构隧道横向地震响应规律研究[J].岩石力学与工程学报,2007,26(s1):2872-2879(Kong Ge,Zhou Jian,Xu Jianping,et al.Study on characteristics of transverse seismic response of shield tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(s1):2872-2879(in Chinese))
[8]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64(Liu Jingbo,Lu Yandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64(in Chinese))
[9]刘晶波,王艳,赵冬冬.地震波斜入射时地铁盾构隧道的动力反应分析[C]//第四届全国防震减灾工程学术研讨会论文集.福州,2009:318-322
[10]杜修力,陈维,李亮,等.斜入射条件下地下结构时域地震反应分析初探[J].震灾防御技术,2007,2(3):290-296(Du Xiuli,Chen Wei,Li Liang,et al.Preliminary study of time-domain seismic response for underground structures to obliquely incident seismic waves[J].Technology for Earthquake Disaster Prevention,2007,2(3):290-296(in Chinese))
[11]宋林,孟昭博,吴敏哲,等.双层岛式地铁车站结构地震反应分析[J].世界地震工程,2010,26(2):187-192(Song Lin,Meng Zhaobo,Wu Minzhe,et al.Dynamic response analysis of a two-layer subway station structure under earthquakes[J].World Earthquake Engineering,2010,26(2):187-192(in Chinese))
[12]刘晶波,谷音,杜义欣.一致粘弹性人工边界及黏弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075(Liu Jingbo,Gu Yin,Du Yixin.Consistent viscousspring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075(in Chinese))
[13]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[J].防灾减灾工程学报,27(s):37-42
[14]Bardet J P,Ichii K,Lin C H.EERA:A computer program for equivalent-linear earthquake site response analyses of layered soil deposits[R].Department of Civil Engineering,University of Southern California,2000
[15]Liang J W,Zhang J,Ba Z N.Amplification of in-plane seismic ground motion by group cavities in layered halfspace(I)[J].Earthquake Science,2012,25(4):275-285
[16]张季.层状场地中地铁隧道群对地震动的放大作用[D].天津大学,2012(Zhang Ji.Amplification of earthquake ground motion by metro group cavities in layered half-space[D].Tianjin University,2012(in Chinese))
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