地铁盾构管片接头抗弯刚度模型试验与数值分析
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摘要
为研究盾构管片接头抗弯刚度力学特性,采用缩尺模型试验与数值模拟的方法对其进行了研究,得到了如下结果:(1)当弯矩值小于拐点值(150 kN·m)时抗弯刚度曲线可近似为一条过原点的直线,当弯矩值超过拐点值(150 kN·m)时抗弯刚度的曲线斜率变化明显,且曲率随着偏心距e的增大而增大;(2)进行了管片纵缝接头精细有限元模拟,数值模拟获取的抗弯刚度与模型试验获取的抗弯刚度趋势一致,但前者比后者大10%～20%。经过分析得到如下结论:(1)管片抗弯刚度的曲线是高度非线性的非单调函数,其斜率较为复杂难以用方程表示;(2)弯矩越大抗弯刚度越小,正弯矩的抗弯刚度绝对值明显大于负弯矩的抗弯刚度绝对值,在偏心距e固定的情况下,随着偏心轴力N的增大,抗弯刚度先增大后减小;(3)本文数值模拟所采用的方法和选用的本构关系可用于指导计算管片结头抗弯刚度。
The model test was carried out to research the bending stiffness of longitudinal segment joint. The following conclusions are obtained:( 1) the curve of the bending stiffness of segment joint is a highly nonlinear and non-monotonic functions whose slope is difficult to be expressed.( 2) The bigger the bending moment of the longitudinal segment joint,the smaller the bending stiffness. The absolute values of positive bending stiffness are significantly larger than those of negative ones. The bending stiffness increases firstly and then decreases when axial force increases under the condition that the eccentricity remains unchanged.( 3) The curve of the bending stiffness can be simplified as a straight line which passes through the original point when the bending stiffness is less than inflection points( 150). But when it is greater than inflection points( 150),the curve shows a significant turn point and the curvature of the curve increases. The bending stiffness obtained from the numerical simulation is consistent with that of the model test,but the former is 10% ～ 20% larger than that of the later. Comparing the numerical simulation results and experimental data,it shows that the results of the model test are reliable,and the method and the constitutive relationship in the numerical simulation are feasible.
The model test was carried out to research the bending stiffness of longitudinal segment joint. The following conclusions are obtained:( 1) the curve of the bending stiffness of segment joint is a highly nonlinear and non-monotonic functions whose slope is difficult to be expressed.( 2) The bigger the bending moment of the longitudinal segment joint,the smaller the bending stiffness. The absolute values of positive bending stiffness are significantly larger than those of negative ones. The bending stiffness increases firstly and then decreases when axial force increases under the condition that the eccentricity remains unchanged.( 3) The curve of the bending stiffness can be simplified as a straight line which passes through the original point when the bending stiffness is less than inflection points( 150). But when it is greater than inflection points( 150),the curve shows a significant turn point and the curvature of the curve increases. The bending stiffness obtained from the numerical simulation is consistent with that of the model test,but the former is 10% ～ 20% larger than that of the later. Comparing the numerical simulation results and experimental data,it shows that the results of the model test are reliable,and the method and the constitutive relationship in the numerical simulation are feasible.
引文
[1]何英杰,周晓燕.影响盾构隧道衬砌接头刚度的因素[J].长江科学院院报,2001,18(1):20-22.(He Yingjie,Yuan Jiang. Factors affecting joint stiffness of shield tunnel lining[J]. Journal of Yangtze River Scientific Research Institute,2001,18(1):20-22.(in Chinese))
[2] Faisal I S. Behavior of gasketed segment concrete tunnel lining[D.]. Zarqa:Hashemite University,2001.
[3]李京爽,王哲.地铁盾构管片弯曲变形特性试验研究[J].北方交通大学学报,2004,28(1):60-64.(Li Jingshuang, Wang Zhe. Test research on the bending resistance of segment for subway shield tunnel[J]. Journal of Northern Jiaotong University,2004,28(1):60-64.(in Chinese))
[4]于宁,白延辉,朱合华.盾构隧道预应力管片接头的模型试验研究[J].地下空间与工程学报,2009,5(3):439-445.(Yu Ning,Bai Tinghui,Zhu Hehua.Model experimental study on joints stiff of precast and prestressed concrete lining in shield tunnels[J].Chinese Journal of Underground Space and Engineering,2009,5(3):439-445.(in Chinese))
[5]张厚美,傅得明,过迟.盾构隧道管片接头荷载试验研究[J].现代隧道技术,2002,39(6):27-33.(Zhang Houmei,Fu dening,Guo Chi. Study on load test of segment joint in shield driven tunnel[J]. Modern Tunnelling Technology, 2002, 39(6):27-33.(in Chinese))
[6]张厚美,过迟,傅得明.圆形隧道装配式衬砌接头刚度模型研究[J].岩土工程学报,2000,22(3):309-313.(Zhang Houmei,Guo chi,Fu deming. A study on the stiffness model of circular tunnel prefabricated lining[J]. Chinese Journal of Geotechnical Engineering,2000,22(3):309-313.(in Chinese))
[7]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):12-17.(Zhang Houmei,Ye Junliang,Guo chi. Empirical formula for bending stiffness of shield tunnel segment joint[J]. Modern Tunnelling Technology,2002,39(2):12-17.(in Chinese))
[8]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):1574-1577.(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):1574-1577.(in Chinese))
[9]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):296-305.(Huang Zhonghui. Study on loading model of joints at longitudinal seam of lining segments in shield tunnel[J]. Underground Space,2003,23(3):296-305.(in Chinese))
[10]朱伟,钟小春,秦建设.盾构衬砌管片接头力学分析及双直线刚度模型研究[J].岩土力学,2006,27(12):2154-2158.(Zhu Wei,Zhong Xiaochun,Qin Jianshe. Mechanical analysis of segment joint of shield tunnel and research on bilinear joint stiffness model[J].Rock and Soil Mechanics,2006,27(12):2154-2158.(in Chinese))
[11] Zhong X C,Zhu W. Effect of joint structure on joint stiffness for shield tunnel lining[J]. Tunnelling and Underground Space,2006,21(3):407-408.
[12]张建刚,何川.复杂接缝面管片接头的力学性能数值分析[J].地下空间与工程学报,2013,9(6):1350-1354.(Zhang Jiangang,He Chuan. Numerical analysis of mechanical property of shield tunnel segmental joint with complex interface[J]. Chinese Journal of Underground Space and Engineering,2013,9(6):1350-1354.(in Chinese))
[13]刘学山.盾构隧道管片横向接头刚度对内力影响的研究[J].现代隧道技术,2003,40(4):14-19.(Liu Xueshan. A study on the effect of the stiffness of the end joints of shield tunnel segments to the internal force of lining[J]. Modern Tunnelling Technology,2003,40(4):14-19.(in Chinese))
[14]孙文昊,焦齐柱,兰宇.盾构管片接头抗弯刚度影响因素研究[J].铁道工程学报,2008,25(1):66-71.(Sun Wenhao,Jiao Qizhu,Lan Yu. Research on the factors influencing flexural rigidity of duct piece joint shield tunnel[J]. Journal of Railway Engineering Society,2008,25(1):66-71.(in Chinese))
[15]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):973-978.(Sun Wenhao,Jiao Qizhu,Xue Guangqiao. Study on bending stiffness of no-liner segment joint in shield tunnel[J]. Chinese Journal of Underground Space and Engineering,2008,4(5):973-978.(in Chinese))
[16]董新平,朱彬.盾构管片接头模型法向弹簧刚度确定原则研究[J].地下空间与工程学报,2015,11(6):1470-1476,1513.(Dong Xinping,Zhu Bin. The determination principle of normal spring stiffness of segment joint model for the segmented tunnel lining[J].Chinese Journal of Underground Space and Engineering,2015,11(6):1470-1476,1513.(in Chinese))
[17]钟登华,佟大威,王帅,等.深埋TBM施工输水隧洞结构的三维仿真分析[J].岩土力学,2008,29(3):609-614.(Zhong Denghua,Tong Dawei,Wang Shuai,et al. Three-dimensional simulation analysis of structure of deep water diversion tunnel with TBM constructing[J]. Rock and Soil Mechanics,2008,29(3):609-614.(in Chinese))
[18] Blom C B M, Van E J, Jovanovic P S. Threedimensional structural analyses of the shield-driven“Green Heart”tunnel of the high-speed line south[J].Tunneling and Underground Space Technology,1999,14(2):217-224.
[19]周海鹰,布春磊,江明.壳-矩阵-弹簧模型衬砌结构受力性能研究[J].地下空间与工程学报,2016,12(3):640-645.(Zhou Haiying,Bu Chunlei,Jiang Ming. Study on mechanical behavior of lining segment of shell-matrix-spring model[J]. Chinese Journal of Underground Space and Engineering,2016,12(3):640-645.(in Chinese))
[20] Lundqvist J,Nordin H,Taljsten B,et al. Numerical analysis of concrete beams strengthened with CFRP[A]//Proceedings of the International Symposium on Bond Behavior of FRP in Structures,2005:239-246.
[2] Faisal I S. Behavior of gasketed segment concrete tunnel lining[D.]. Zarqa:Hashemite University,2001.
[3]李京爽,王哲.地铁盾构管片弯曲变形特性试验研究[J].北方交通大学学报,2004,28(1):60-64.(Li Jingshuang, Wang Zhe. Test research on the bending resistance of segment for subway shield tunnel[J]. Journal of Northern Jiaotong University,2004,28(1):60-64.(in Chinese))
[4]于宁,白延辉,朱合华.盾构隧道预应力管片接头的模型试验研究[J].地下空间与工程学报,2009,5(3):439-445.(Yu Ning,Bai Tinghui,Zhu Hehua.Model experimental study on joints stiff of precast and prestressed concrete lining in shield tunnels[J].Chinese Journal of Underground Space and Engineering,2009,5(3):439-445.(in Chinese))
[5]张厚美,傅得明,过迟.盾构隧道管片接头荷载试验研究[J].现代隧道技术,2002,39(6):27-33.(Zhang Houmei,Fu dening,Guo Chi. Study on load test of segment joint in shield driven tunnel[J]. Modern Tunnelling Technology, 2002, 39(6):27-33.(in Chinese))
[6]张厚美,过迟,傅得明.圆形隧道装配式衬砌接头刚度模型研究[J].岩土工程学报,2000,22(3):309-313.(Zhang Houmei,Guo chi,Fu deming. A study on the stiffness model of circular tunnel prefabricated lining[J]. Chinese Journal of Geotechnical Engineering,2000,22(3):309-313.(in Chinese))
[7]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):12-17.(Zhang Houmei,Ye Junliang,Guo chi. Empirical formula for bending stiffness of shield tunnel segment joint[J]. Modern Tunnelling Technology,2002,39(2):12-17.(in Chinese))
[8]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):1574-1577.(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):1574-1577.(in Chinese))
[9]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):296-305.(Huang Zhonghui. Study on loading model of joints at longitudinal seam of lining segments in shield tunnel[J]. Underground Space,2003,23(3):296-305.(in Chinese))
[10]朱伟,钟小春,秦建设.盾构衬砌管片接头力学分析及双直线刚度模型研究[J].岩土力学,2006,27(12):2154-2158.(Zhu Wei,Zhong Xiaochun,Qin Jianshe. Mechanical analysis of segment joint of shield tunnel and research on bilinear joint stiffness model[J].Rock and Soil Mechanics,2006,27(12):2154-2158.(in Chinese))
[11] Zhong X C,Zhu W. Effect of joint structure on joint stiffness for shield tunnel lining[J]. Tunnelling and Underground Space,2006,21(3):407-408.
[12]张建刚,何川.复杂接缝面管片接头的力学性能数值分析[J].地下空间与工程学报,2013,9(6):1350-1354.(Zhang Jiangang,He Chuan. Numerical analysis of mechanical property of shield tunnel segmental joint with complex interface[J]. Chinese Journal of Underground Space and Engineering,2013,9(6):1350-1354.(in Chinese))
[13]刘学山.盾构隧道管片横向接头刚度对内力影响的研究[J].现代隧道技术,2003,40(4):14-19.(Liu Xueshan. A study on the effect of the stiffness of the end joints of shield tunnel segments to the internal force of lining[J]. Modern Tunnelling Technology,2003,40(4):14-19.(in Chinese))
[14]孙文昊,焦齐柱,兰宇.盾构管片接头抗弯刚度影响因素研究[J].铁道工程学报,2008,25(1):66-71.(Sun Wenhao,Jiao Qizhu,Lan Yu. Research on the factors influencing flexural rigidity of duct piece joint shield tunnel[J]. Journal of Railway Engineering Society,2008,25(1):66-71.(in Chinese))
[15]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):973-978.(Sun Wenhao,Jiao Qizhu,Xue Guangqiao. Study on bending stiffness of no-liner segment joint in shield tunnel[J]. Chinese Journal of Underground Space and Engineering,2008,4(5):973-978.(in Chinese))
[16]董新平,朱彬.盾构管片接头模型法向弹簧刚度确定原则研究[J].地下空间与工程学报,2015,11(6):1470-1476,1513.(Dong Xinping,Zhu Bin. The determination principle of normal spring stiffness of segment joint model for the segmented tunnel lining[J].Chinese Journal of Underground Space and Engineering,2015,11(6):1470-1476,1513.(in Chinese))
[17]钟登华,佟大威,王帅,等.深埋TBM施工输水隧洞结构的三维仿真分析[J].岩土力学,2008,29(3):609-614.(Zhong Denghua,Tong Dawei,Wang Shuai,et al. Three-dimensional simulation analysis of structure of deep water diversion tunnel with TBM constructing[J]. Rock and Soil Mechanics,2008,29(3):609-614.(in Chinese))
[18] Blom C B M, Van E J, Jovanovic P S. Threedimensional structural analyses of the shield-driven“Green Heart”tunnel of the high-speed line south[J].Tunneling and Underground Space Technology,1999,14(2):217-224.
[19]周海鹰,布春磊,江明.壳-矩阵-弹簧模型衬砌结构受力性能研究[J].地下空间与工程学报,2016,12(3):640-645.(Zhou Haiying,Bu Chunlei,Jiang Ming. Study on mechanical behavior of lining segment of shell-matrix-spring model[J]. Chinese Journal of Underground Space and Engineering,2016,12(3):640-645.(in Chinese))
[20] Lundqvist J,Nordin H,Taljsten B,et al. Numerical analysis of concrete beams strengthened with CFRP[A]//Proceedings of the International Symposium on Bond Behavior of FRP in Structures,2005:239-246.
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