隧道混凝土管片接头极限状态抗弯刚度的计算模型
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摘要
为了分析轴力对混凝土管片接头抗弯刚度的影响,将混凝土管片接头假设为梁模型,基于混凝土管片接头截面力平衡方程和平截面假设,提出四种混凝土管片接头在极限状态时的抗弯刚度计算模型。以北京地铁盾构区间为例,计算四种模式下混凝土管片接头的抗弯刚度。采用有限元方法模拟混凝土管片接头抗弯刚度的变化规律,并与计算模型对比。结果表明,混凝土管片接头在极限状态时的抗弯刚度随着轴力的增加而增加,且抗弯刚度与轴力近似为线性关系。解析模型计算结果与有限元模拟值基本一致,验证了文中提出的解析计算模型的准确性。
This paper introduces the study of the effect of axial forces on the bending stiffness of concrete segment joints by assuming the concrete segment joints as a beam model. The study drawing on the equilibrium equation of force and the assumption of plane section involves developing the bending stiffness computational models of segment joints; discussing influences of axial forces on the bending stiffness of concrete segment joints based on a shield interval of Beijing subway; simulating the regularity of changes in the bending stiffness of concrete segment joints using Finite Element Method(FEM); and comparing the results with those of the computational models. The investigation shows that the bending stiffness of concrete segment joints in the limit state increases with the increase of the axial force and there is a approximately linear relationship between the bending stiffness is and the axial force. The agreement between the calculation results derived from analytical models and ones computed by FEM verifies the accuracy of the proposed computational model.
This paper introduces the study of the effect of axial forces on the bending stiffness of concrete segment joints by assuming the concrete segment joints as a beam model. The study drawing on the equilibrium equation of force and the assumption of plane section involves developing the bending stiffness computational models of segment joints; discussing influences of axial forces on the bending stiffness of concrete segment joints based on a shield interval of Beijing subway; simulating the regularity of changes in the bending stiffness of concrete segment joints using Finite Element Method(FEM); and comparing the results with those of the computational models. The investigation shows that the bending stiffness of concrete segment joints in the limit state increases with the increase of the axial force and there is a approximately linear relationship between the bending stiffness is and the axial force. The agreement between the calculation results derived from analytical models and ones computed by FEM verifies the accuracy of the proposed computational model.
引文
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[9]Song K I,Cho G C,Chang S B.Beam-spring structural analysis for the design of a tunnel pre-reinforcement support system[J].International Journal of Rock Mechanics&Mining Sciences,2013,59(5):139-150.
[10]Cao Y,Wang P Y,Jin X L,et al.Tunnel structure analysis using the multi-scale modeling method[J].Tunnelling and Underground Space Technology,2012,28(1):124-134.
[11]Talmon A M,Bezuijen A.Calculation of longitudinal bending moment and shear force for Shanghai Yangtze River Tunnel:Application of lessons from Dutch research[J].Tunnelling and Underground Space Technology,2013,35(3):161-171.
[12]Molins C,Arnau O.Experimental and analytical study of the structural response of segmental tunnel linings based on an in situ loading test.Part1:Test configuration and execution[J].Tunnelling and Underground Space Technology,2011,266(6):764-777.
[13]中华人民共和国住房和城乡建设部.GB 50010—2010混凝土结构设计规范[S].北京:中国建筑工业出版社,2010.
[14]陈仁东.北京地铁四号线管片配筋设计与优化[J].现代隧道技术,2006,43(5):50-54.
[15]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.
[2]李新星,杨志豪,曹文宏.超大隧道装配式管片接头刚度的模型试验研究[J].土木工程学报,2015,48(S2):315-320.
[3]Do N A,Dias D,Oreset P,Djeran-maigre I.2D numerical investigation of segmental tunnel lining behavior[J].Tunnelling and Underground Space Technology,2013,37(6):115-127.
[4]Arnau O,Molins C.Three dimensional structural response of segmental tunnel linings[J].Engineering Structures,2012,44(6):210-221.
[5]Blom C B M,Horst E J,Jovanovic P S.Three-dimensional structural analyses of the shield-driven“green heart”tunnel of the high-speed line south[J].Tunnelling and Underground Space Technology,1999,14(2):217-224.
[6]Chen J S,Mo H H.Numerical study on crack problems in segments of shield tunnel using finite element method[J].Tunnelling and Underground Space Technology,2009,24(1):91-102.
[7]Gong W P,Juang C H,Huang H W,et al.Improved analytical model for circumferential behavior of jointed shield tunnels considering the longitudinal differential settlement[J].Tunnelling and Underground Space Technology,2015,45(1):153-165.
[8]Yang Y Z,Zhang W W,Wang J W.Three-dimensional orthotropic equivalent modelling method of large-scale circular jointed lining[J].Tunnelling and Underground Space Technology,2014,44(1):33-41.
[9]Song K I,Cho G C,Chang S B.Beam-spring structural analysis for the design of a tunnel pre-reinforcement support system[J].International Journal of Rock Mechanics&Mining Sciences,2013,59(5):139-150.
[10]Cao Y,Wang P Y,Jin X L,et al.Tunnel structure analysis using the multi-scale modeling method[J].Tunnelling and Underground Space Technology,2012,28(1):124-134.
[11]Talmon A M,Bezuijen A.Calculation of longitudinal bending moment and shear force for Shanghai Yangtze River Tunnel:Application of lessons from Dutch research[J].Tunnelling and Underground Space Technology,2013,35(3):161-171.
[12]Molins C,Arnau O.Experimental and analytical study of the structural response of segmental tunnel linings based on an in situ loading test.Part1:Test configuration and execution[J].Tunnelling and Underground Space Technology,2011,266(6):764-777.
[13]中华人民共和国住房和城乡建设部.GB 50010—2010混凝土结构设计规范[S].北京:中国建筑工业出版社,2010.
[14]陈仁东.北京地铁四号线管片配筋设计与优化[J].现代隧道技术,2006,43(5):50-54.
[15]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.