大断面盾构隧道管片接头抗弯刚度取值研究
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摘要
为找到一种便于工程应用的管片接头抗弯刚度取值方法,采用考虑管片接头复杂结构形式、混凝土非线性材料特性以及接缝面复杂接触传力特点的大断面管片接头抗弯分析力学模型,对广深港狮子洋隧道和南京长江隧道2座典型大断面隧道的管片接头抗弯刚度K_θ进行计算;基于所得到的抗弯刚度K_θ的非线性变化规律和数据分析方法建立抗弯刚度取值经验公式,并开展接头抗弯足尺试验对取值结果进行验证。结果表明:1)当接缝轴力不变时,抗弯刚度随弯矩的增大表现出明显的非线性变化规律,由接触上升段、线性下降段以及非线性下降段组成; 2)抗弯刚度与轴压比的作用关系曲线近似为线性; 3)抗弯刚度与偏心距的作用关系中分为正常使用状态下的小变形区以及伴有混凝土压碎、螺栓屈服特征的大变形区,其抗弯刚度-偏心距关系曲线可分别近似为直线和抛物线; 4)抗弯刚度经验公式的计算结果与接头抗弯足尺试验结果的相符度较高,表明该取值方法合理且计算准确度较高。
In order to find out a calculation method for bending stiffness value of segment joint which is easy for engineering application, a bending analysis mechanical model for segment joint of shield tunnel with large cross-section that considering complex structure form of segment joint, nonlinear characteristics of concrete and complex contact force characteristics of joint face is adopted to calculate the bending stiffness K_θ for the segment joints of two typical large cross-section tunnels,i.e. Shiziyang Tunnel on Guangzhou-Shenzhen-Hong Kong High-speed Railway and Nanjing Yangtze River Tunnel. Based on nonlinear change rule of bending stiffness K_θ and data analysis method, an empirical formula for bending stiffness values is established. Meanwhile, full-scale tests of segment joint are carried out to verify the results of empirical formula. The study results show that:(1) When the axial force of joint is constant, the bending stiffness appears obviously with the increase of bending moment, which composes three phases, i.e. contact rising phase, linear decline phase and nonlinear decline phase.(2) The curve of relationship between bending stiffness and axial compression ratio is approximately linear.(3)The relationship between bending stiffness and eccentricity of joint surface can be divided into small deformation zone under normal service condition and large deformation zone with characteristics of concrete crushing and bolt yielding,which the relationship curves between bending stiffness and eccentricity can be approximate to straight line and parabola respectively.(4)The calculation results of empirical formula coincide with that of full-scale test of joint bending,which proves that the above-mentioned bending stiffness value method is feasible and with high accuracy.
In order to find out a calculation method for bending stiffness value of segment joint which is easy for engineering application, a bending analysis mechanical model for segment joint of shield tunnel with large cross-section that considering complex structure form of segment joint, nonlinear characteristics of concrete and complex contact force characteristics of joint face is adopted to calculate the bending stiffness K_θ for the segment joints of two typical large cross-section tunnels,i.e. Shiziyang Tunnel on Guangzhou-Shenzhen-Hong Kong High-speed Railway and Nanjing Yangtze River Tunnel. Based on nonlinear change rule of bending stiffness K_θ and data analysis method, an empirical formula for bending stiffness values is established. Meanwhile, full-scale tests of segment joint are carried out to verify the results of empirical formula. The study results show that:(1) When the axial force of joint is constant, the bending stiffness appears obviously with the increase of bending moment, which composes three phases, i.e. contact rising phase, linear decline phase and nonlinear decline phase.(2) The curve of relationship between bending stiffness and axial compression ratio is approximately linear.(3)The relationship between bending stiffness and eccentricity of joint surface can be divided into small deformation zone under normal service condition and large deformation zone with characteristics of concrete crushing and bolt yielding,which the relationship curves between bending stiffness and eccentricity can be approximate to straight line and parabola respectively.(4)The calculation results of empirical formula coincide with that of full-scale test of joint bending,which proves that the above-mentioned bending stiffness value method is feasible and with high accuracy.
引文
[1] 小泉淳.盾构隧道管片设计:从容许应力设计法到极限状态设计法[M].官林星,译.北京:中国建筑工业出版社,2012.KOIZUMI Atsushi.Segment design of shield tunnel:From allowable stress design method to limit state design method[M].Translator:GUAN Linxing.Beijing:China Architecture & Building Press,2012.
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[3] TEODOR Iftimie.Design considerations and testings in shield-driven tunnels[C]//ITA International Congress Towards New Worlds in Tunnelling.Rotterdam:A.A.Balkema,1992.
[4] TEODOR Iftimie.Prefabribated lining,conceptional analysis and comparative studies for optimal solution[C]//ITA International Congress Tunnelling and Ground Conditions.Rotterdam:A.A.Balkema,1994.
[5] 黄钟晖.盾构法隧道管片衬砌纵缝接头受力模型的研究[J].地下空间,2003,23(3):296.HUANG Zhonghui.Study of loading model of joints at longitudinal seam of lining segments in shield tunnel [J].Underground Space,2003,23(3):296.
[6] 曾东洋.盾构隧道衬砌结构力学行为及施工对环境的影响研究[D].成都:西南交通大学,2005.ZENG Dongyang.Research on the mechanical behavior of shield tunnel lining structure and influences on the environment in construction[D].Chengdu:Southwest Jiaotong University,2005.
[7] 孙文昊,焦齐柱,薛光桥,等.盾构隧道管片无衬垫接头抗弯刚度研究[J].地下空间与工程学报,2008,4(5):973.SUN Wenhao,JIAO Qizhu,XUE Guangqiao,et al.Study of bending stiffness of no-liner segment joint in shield tunnel[J].Chinese Journal of Underground Space and Engineering,2008,4(5):973.
[8] 陈三江.盾构法隧道衬砌接头受力机理分析[D].上海:同济大学,1986.CHEN Sanjiang.Study of the stress mechanism of shield tunnel lining joints[D].Shanghai:Tongji University,1986.
[9] 蒋洪胜,侯学渊,刘建航.盾构法隧道管片接头受力模式识别系统的研究[J].山东大学学报(工学版),2002,32(4):354.JIANG Hongsheng,HOU Xueyuan,LIU Jianhang.Study of the mechanical model distinguishing system of the joint in the shield tunnel segments[J].Journal of Shandong University (Engineering Science),2002,32(4):354.
[10] 蒋洪胜,侯学渊.盾构法隧道管片接头转动刚度的理论研究[J].岩石力学与工程学报,2004,23(9):1574.JIANG Hongsheng,HOU Xueyuan.Theoretical study of rotating stiffness of joint in shield tunnel segments[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(9):1574.
[11] 吴兰婷.盾构隧道管片接头力学行为的有限元分析[D].成都:西南交通大学,2005.WU Lanting.FEM analysis of mechanical behaviors of segment joints of shield tunnel[D].Chengdu:Southwest Jiaotong University,2005.
[12] 张建刚,何川.管片接头力学解析法:改进条带算法[J].铁道学报,2013,35(3):102.ZHANG Jiangang,HE Chuan.Mechanical calculation method of segmental joints:Improved strip method[J].Journal of the China Railway Society,2013,35(3):102.
[13] 张厚美,叶均良,过迟.盾构隧道管片接头抗弯刚度的经验公式[J].现代隧道技术,2002,39(2):12.ZHANG Houmei,YE Junliang,GUO Chi.Empirical formula for bending stifflless of shield tunnel segment joint[J].Modern Tunnelling Technology,2002,39(2):12.
[14] 朱合华,黄伯麒,李晓军,等.盾构衬砌管片接缝内力-变形统一模型及试验分析[J].岩土工程学报,2014,36(12):2153.ZHU Hehua,HUANG Boqi,LI Xiaojun,et al.Unified model for internal force and deformation of shield segment joints and experimental analysis[J].Chinese Journal of Geotechnical Engineering,2014,36(12):2153.
[15] 夏才初,曾格华,卞跃威.盾构隧道管片环纵向接头抗弯刚度值的不动点迭代确定方法[J].岩石力学与工程学报,2014,33(5):901.XIA Caichu,ZENG Gehua,BIAN Yuewei.Method for determining bending stiffness of shield tunnel segment rings longitudinal joint based on fix-point iteration[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(5):901.
[16] 吴全立,王梦恕,董新平.盾构管片接头非线性转动刚度研究[J].土木工程学报,2014,47(4):109.WU Quanli,WANG Mengshu,DONG Xinping.Study of nonlinear rotational stiffness of shield segment joint[J].China Civil Engineering Journal,2014,47(4):109.
[17] 李守巨,刘军豪,上官子昌,等.钢筋混凝土直螺栓管片接头抗弯极限承载力的简化计算模型[J].隧道建设,2017,37(1):18.LI Shouju,LIU Junhao,SHANGGUAN Zichang,et al.Simplified computing models for ultimate flexural capacity of reinforced concrete segment joints strengthened by straight bolts[J].Tunnel Construction,2017,37(1):18.
[18] 张力,封坤,方若全,等.盾构隧道原型管片接头抗弯性能试验[J].土木工程学报,2017,50(增刊2):220.ZHANG Li,FENG Kun,FANG Ruoquan,et al.Experimental study of flexural performance of prototype segment joint of shield tunnel[J].China Civil Engineering Journal,2017,50(S2):220.
[19] 封坤,何川,肖明清.高轴压作用下盾构隧道复杂接缝面管片接头抗弯试验[J].土木工程学报,2016(8):99.FENG Kun,HE Chuan,XIAO Mingqing.Bending tests of segment joint with complex interface for shield tunnel under high axial pressure[J].China Civil Engineering Journal,2016(8):99.
[20] 封坤.大断面水下盾构隧道管片衬砌结构的力学行为研究[D].成都:西南交通大学,2011.FENG Kun.Research on mechanical behavior of segmental lining structure for underwater shield tunnel with large cross-section[D].Chengdu:Southwest Jiaotong University,2011.
[21] 刘四进,封坤,何川,等.大断面盾构隧道管片接头抗弯力学模型研究[J].工程力学,2015(12):215.LIU Sijin,FENG Kun,HE Chuan,et al.Study of the bending mechanical model of segmental joint in shield tunnel with large cross-section [J].Engineering Mechanics,2015(12):215.
[2] 陆同寿,崔铁军.圆形隧道接头刚度模型试验与研究[J].隧道及地下工程,1987(4):21.LU Tongshou,CUI Tiejun.Test and research on joint stiffness model of circular tunnel[J].Underground Engineering and Tunnels,1987(4):21.
[3] TEODOR Iftimie.Design considerations and testings in shield-driven tunnels[C]//ITA International Congress Towards New Worlds in Tunnelling.Rotterdam:A.A.Balkema,1992.
[4] TEODOR Iftimie.Prefabribated lining,conceptional analysis and comparative studies for optimal solution[C]//ITA International Congress Tunnelling and Ground Conditions.Rotterdam:A.A.Balkema,1994.
[5] 黄钟晖.盾构法隧道管片衬砌纵缝接头受力模型的研究[J].地下空间,2003,23(3):296.HUANG Zhonghui.Study of loading model of joints at longitudinal seam of lining segments in shield tunnel [J].Underground Space,2003,23(3):296.
[6] 曾东洋.盾构隧道衬砌结构力学行为及施工对环境的影响研究[D].成都:西南交通大学,2005.ZENG Dongyang.Research on the mechanical behavior of shield tunnel lining structure and influences on the environment in construction[D].Chengdu:Southwest Jiaotong University,2005.
[7] 孙文昊,焦齐柱,薛光桥,等.盾构隧道管片无衬垫接头抗弯刚度研究[J].地下空间与工程学报,2008,4(5):973.SUN Wenhao,JIAO Qizhu,XUE Guangqiao,et al.Study of bending stiffness of no-liner segment joint in shield tunnel[J].Chinese Journal of Underground Space and Engineering,2008,4(5):973.
[8] 陈三江.盾构法隧道衬砌接头受力机理分析[D].上海:同济大学,1986.CHEN Sanjiang.Study of the stress mechanism of shield tunnel lining joints[D].Shanghai:Tongji University,1986.
[9] 蒋洪胜,侯学渊,刘建航.盾构法隧道管片接头受力模式识别系统的研究[J].山东大学学报(工学版),2002,32(4):354.JIANG Hongsheng,HOU Xueyuan,LIU Jianhang.Study of the mechanical model distinguishing system of the joint in the shield tunnel segments[J].Journal of Shandong University (Engineering Science),2002,32(4):354.
[10] 蒋洪胜,侯学渊.盾构法隧道管片接头转动刚度的理论研究[J].岩石力学与工程学报,2004,23(9):1574.JIANG Hongsheng,HOU Xueyuan.Theoretical study of rotating stiffness of joint in shield tunnel segments[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(9):1574.
[11] 吴兰婷.盾构隧道管片接头力学行为的有限元分析[D].成都:西南交通大学,2005.WU Lanting.FEM analysis of mechanical behaviors of segment joints of shield tunnel[D].Chengdu:Southwest Jiaotong University,2005.
[12] 张建刚,何川.管片接头力学解析法:改进条带算法[J].铁道学报,2013,35(3):102.ZHANG Jiangang,HE Chuan.Mechanical calculation method of segmental joints:Improved strip method[J].Journal of the China Railway Society,2013,35(3):102.
[13] 张厚美,叶均良,过迟.盾构隧道管片接头抗弯刚度的经验公式[J].现代隧道技术,2002,39(2):12.ZHANG Houmei,YE Junliang,GUO Chi.Empirical formula for bending stifflless of shield tunnel segment joint[J].Modern Tunnelling Technology,2002,39(2):12.
[14] 朱合华,黄伯麒,李晓军,等.盾构衬砌管片接缝内力-变形统一模型及试验分析[J].岩土工程学报,2014,36(12):2153.ZHU Hehua,HUANG Boqi,LI Xiaojun,et al.Unified model for internal force and deformation of shield segment joints and experimental analysis[J].Chinese Journal of Geotechnical Engineering,2014,36(12):2153.
[15] 夏才初,曾格华,卞跃威.盾构隧道管片环纵向接头抗弯刚度值的不动点迭代确定方法[J].岩石力学与工程学报,2014,33(5):901.XIA Caichu,ZENG Gehua,BIAN Yuewei.Method for determining bending stiffness of shield tunnel segment rings longitudinal joint based on fix-point iteration[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(5):901.
[16] 吴全立,王梦恕,董新平.盾构管片接头非线性转动刚度研究[J].土木工程学报,2014,47(4):109.WU Quanli,WANG Mengshu,DONG Xinping.Study of nonlinear rotational stiffness of shield segment joint[J].China Civil Engineering Journal,2014,47(4):109.
[17] 李守巨,刘军豪,上官子昌,等.钢筋混凝土直螺栓管片接头抗弯极限承载力的简化计算模型[J].隧道建设,2017,37(1):18.LI Shouju,LIU Junhao,SHANGGUAN Zichang,et al.Simplified computing models for ultimate flexural capacity of reinforced concrete segment joints strengthened by straight bolts[J].Tunnel Construction,2017,37(1):18.
[18] 张力,封坤,方若全,等.盾构隧道原型管片接头抗弯性能试验[J].土木工程学报,2017,50(增刊2):220.ZHANG Li,FENG Kun,FANG Ruoquan,et al.Experimental study of flexural performance of prototype segment joint of shield tunnel[J].China Civil Engineering Journal,2017,50(S2):220.
[19] 封坤,何川,肖明清.高轴压作用下盾构隧道复杂接缝面管片接头抗弯试验[J].土木工程学报,2016(8):99.FENG Kun,HE Chuan,XIAO Mingqing.Bending tests of segment joint with complex interface for shield tunnel under high axial pressure[J].China Civil Engineering Journal,2016(8):99.
[20] 封坤.大断面水下盾构隧道管片衬砌结构的力学行为研究[D].成都:西南交通大学,2011.FENG Kun.Research on mechanical behavior of segmental lining structure for underwater shield tunnel with large cross-section[D].Chengdu:Southwest Jiaotong University,2011.
[21] 刘四进,封坤,何川,等.大断面盾构隧道管片接头抗弯力学模型研究[J].工程力学,2015(12):215.LIU Sijin,FENG Kun,HE Chuan,et al.Study of the bending mechanical model of segmental joint in shield tunnel with large cross-section [J].Engineering Mechanics,2015(12):215.
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