盾构隧道管片环向接头刚度的解析分析法
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摘要
基于盾构隧道管片接头的细部构造,分析在正、负弯矩作用下接头分离前后接头的不同力学机理。通过建立接头力学平衡关系,给出在正、负弯矩作用下接头分离前后接头的抗拉刚度和抗弯刚度的非线性解析公式,以及接头的抗压刚度和抗剪刚度的线性解析公式。利用给出的解析公式获得接头的力学参数,通过建立匀质圆环模型、线性接头模型和非线性接头模型3种有限元模型,对比3种模型的内力和变形特征。结果表明:接头抗弯刚度会在接头分离时出现突变,此后接头抗弯刚度较分离前会表现出一定程度的减弱;螺栓预紧力是影响接头分离时螺栓拉力的主要因素,决定接头分离时的分离转角;考虑接头效应,衬砌的弯矩和剪力都会出现明显的减小,衬砌变形会出现较大程度的增加,但对轴力影响较小;管片环向接头分离后,接头抗弯刚度减弱,管片环弯矩尚有进一步减小,变形尚有进一步扩大的趋势。
Based on the detailed structure of the segment joint of shield tunnel,different mechanical mechanisms of segment joint before and after separation under positive and negative moments were analyzed.By establishing the mechanical equilibrium relationship of joints,the nonlinear analytical formulae for the tensile stiffness and bending rigidity of joints before and after separation under positive and negative bending moments were given,and the linear analytical formulae for the compressive stiffness and shear stiffness of joints were also given.The mechanical parameters of the joint were obtained by using the given analytical formulae.Then,the internal forces and deformation characteristics of the 3 models were compared by establishing the homogeneous ring model,the linear joint model and the nonlinear joint model.Results show that the bending rigidity of the joint will change suddenly when the joint is separated,which will be weakened to a certain degree compared with that before the separation.Bolt pretightening force is the main factor that affects the tension of the bolt when the joint is separated,and determines the rotating angle when the joint is separated.Considering the joint effect,the bending moment and shear force of the lining will obviously decrease,the deformation of the lining will increase to a great extent,but the impact on the axial force will be smaller.The bending stiffness of the joint is weakened,the bending moment of the segment ring is further reduced,and the deformation still has a tendency to expand further after the circumferential joint of segment ring is separated.
Based on the detailed structure of the segment joint of shield tunnel,different mechanical mechanisms of segment joint before and after separation under positive and negative moments were analyzed.By establishing the mechanical equilibrium relationship of joints,the nonlinear analytical formulae for the tensile stiffness and bending rigidity of joints before and after separation under positive and negative bending moments were given,and the linear analytical formulae for the compressive stiffness and shear stiffness of joints were also given.The mechanical parameters of the joint were obtained by using the given analytical formulae.Then,the internal forces and deformation characteristics of the 3 models were compared by establishing the homogeneous ring model,the linear joint model and the nonlinear joint model.Results show that the bending rigidity of the joint will change suddenly when the joint is separated,which will be weakened to a certain degree compared with that before the separation.Bolt pretightening force is the main factor that affects the tension of the bolt when the joint is separated,and determines the rotating angle when the joint is separated.Considering the joint effect,the bending moment and shear force of the lining will obviously decrease,the deformation of the lining will increase to a great extent,but the impact on the axial force will be smaller.The bending stiffness of the joint is weakened,the bending moment of the segment ring is further reduced,and the deformation still has a tendency to expand further after the circumferential joint of segment ring is separated.
引文
[1]何川,郭瑞,肖明清,等.铁路盾构隧道单、双层衬砌纵向力学性能的模型试验研究[J].中国铁道科学,2013,34(3):40-46.(HE Chuan,GUO Rui,XIAO Mingqing,et al.Model Test on Longitudinal Mechanical Properties of Single and Double Layered Linings for Railway Shield Tunnel[J].China Railway Science,2013,34(3):40-46.in Chinese)
[2]方勇,符亚鹏,齐春,等.膨胀岩土地层盾构隧道管片结构荷载及内力特征[J].中国铁道科学,2014,35(3):56-63.(FANG Yong,FU Yapeng,QI Chun,et al.Structural Load and Internal Force Characteristics of Shield Tunnel Segment in Expansive Rock and Soil Strata[J].China Railway Science,2014,35(3):56-63.in Chinese)
[3]黄大维,周顺华,冯青松,等.通缝拼装盾构隧道横向刚度有效率计算方法及其影响因素[J].中国铁道科学,2017,38(3):47-54.(HUANG Dawei,ZHOU Shunhua,FENG Qingsong,et al.Calculation Method for Transverse Effective Rigidity Ratio of Shield-Driven Tunnel with Straight Joint and Its Influential Factors[J].China Railway Science,2017,38(3):47-54.in Chinese)
[4]彭智勇,刘维宁,丁德云,等.大直径盾构隧道分块型K管片接触面力学性能的试验研究[J].中国铁道科学,2013,34(5):39-45.(PENG Zhiyong,LIU Weining,DING Deyun,et al.Experimental Study on the Mechanical Properties of the Interface on Partitioned Key Segment of Large-Diameter Shield Tunnel[J].China Railway Science,2013,34(5):39-45.in Chinese)
[5]张厚美,过迟,付德明.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)
[6]MASHIMO H,ISHIMURA T.Evaluation of the Load on Shield Tunnel in Grave[J].Tunneling Underground Space Technology,2003,18(2):233-241.
[7]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)
[8]曾东洋,何川.地铁盾构隧道管片接头刚度影响因素研究[J].铁道学报,2005,27(4):90-95.(ZENG Dongyang,HE Chuan.Study on Factors Influential in Metro Shield Tunnel Segment Joint Bending Stiffness[J].Journal of the China Railway Society,2005,27(4):90-95.in Chinese)
[9]陈俊生,莫海鸿.盾构隧道管片接头抗弯刚度的三维数值计算[J].铁道学报,2009,31(4):87-91.(CHEN Junsheng,MO Haihong.Three-Dimensional FEM Analysis on Flexural Rigidity of Segment Joints in Shield Tunnel[J].Journal of the China Railway Society,2009,31(4):87-91.in Chinese)
[10]郭瑞,何川,封坤,等.大断面水下盾构隧道管片接头抗弯刚度及其对管片内力影响研究[J].中国铁道科学,2013,34(5):46-53.(GUO Rui,HE Chuan,FENG Kun,et al.Bending Stiffness of Segment Joint and Its Effects on Segment Internal Force for Underwater Shield Tunnel with Large Cross-Section[J].China Railway Science,2013,34(5):46-53.in Chinese)
[11]LI Zili,SOGA Kenichi,WANG Fei,et al.Behaviour of Cast-Iron Tunnel Segmental Joint from the 3DFE Analyses and Development of a New Bolt-Spring Model[J].Tunnelling and Underground Space Technology,2014,41:176-192.
[12]KOYAMA Yukinori.Present Status and Technology of Shield Tunneling Method in Japan[J].Tunneling Underground Space Technology,2003,18(2):145-159.
[13]村上博智ほか.シールド工事セダメントのセゲメント继手の拳动について[J].土木学会论文报告集,1980,296:73-85.(MURAKAMI Hirotomo.Study on the Mechanical Characteristic of Segment Joints in Shield Tunnel[J].Paper Reports of Civil Society,1980,296:73-85.in Japanese)
[14]TEODOR Iftimie.Prefabricated Lining,Conceptional Analysis and Comparative Studies for Optimal Solution[C]//ITA International Congress Tunnelling and Ground Conditions.Cairo:Egypt,1994:136A-137A.
[15]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)
[16]小泉淳.盾构隧道的抗震研究及算例[M].张稳军,袁大军,译.北京:中国建筑工业出版社,2009:203-210.(KOIZUMI A.Seismic Research and Numerical Examples of Shield Tunnel[M].Translated by ZHANG Wenjun,YUAN Dajun.Beijing:China Architecture&Building Press,2009:203-210.in Chinese)
[17]官林星.错缝拼装下管片宽度对盾构隧道力学行为的影响[J].地下空间与工程学报,2015,11(4):852-858.(GUAN Linxing.Effect of Segment Width on Behavior of Shield Tunnel Assembled in Staggered Pattern[J].Chinese Journal of Underground Space and Engineering,2015,11(4):852-858.in Chinese)
[2]方勇,符亚鹏,齐春,等.膨胀岩土地层盾构隧道管片结构荷载及内力特征[J].中国铁道科学,2014,35(3):56-63.(FANG Yong,FU Yapeng,QI Chun,et al.Structural Load and Internal Force Characteristics of Shield Tunnel Segment in Expansive Rock and Soil Strata[J].China Railway Science,2014,35(3):56-63.in Chinese)
[3]黄大维,周顺华,冯青松,等.通缝拼装盾构隧道横向刚度有效率计算方法及其影响因素[J].中国铁道科学,2017,38(3):47-54.(HUANG Dawei,ZHOU Shunhua,FENG Qingsong,et al.Calculation Method for Transverse Effective Rigidity Ratio of Shield-Driven Tunnel with Straight Joint and Its Influential Factors[J].China Railway Science,2017,38(3):47-54.in Chinese)
[4]彭智勇,刘维宁,丁德云,等.大直径盾构隧道分块型K管片接触面力学性能的试验研究[J].中国铁道科学,2013,34(5):39-45.(PENG Zhiyong,LIU Weining,DING Deyun,et al.Experimental Study on the Mechanical Properties of the Interface on Partitioned Key Segment of Large-Diameter Shield Tunnel[J].China Railway Science,2013,34(5):39-45.in Chinese)
[5]张厚美,过迟,付德明.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)
[6]MASHIMO H,ISHIMURA T.Evaluation of the Load on Shield Tunnel in Grave[J].Tunneling Underground Space Technology,2003,18(2):233-241.
[7]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)
[8]曾东洋,何川.地铁盾构隧道管片接头刚度影响因素研究[J].铁道学报,2005,27(4):90-95.(ZENG Dongyang,HE Chuan.Study on Factors Influential in Metro Shield Tunnel Segment Joint Bending Stiffness[J].Journal of the China Railway Society,2005,27(4):90-95.in Chinese)
[9]陈俊生,莫海鸿.盾构隧道管片接头抗弯刚度的三维数值计算[J].铁道学报,2009,31(4):87-91.(CHEN Junsheng,MO Haihong.Three-Dimensional FEM Analysis on Flexural Rigidity of Segment Joints in Shield Tunnel[J].Journal of the China Railway Society,2009,31(4):87-91.in Chinese)
[10]郭瑞,何川,封坤,等.大断面水下盾构隧道管片接头抗弯刚度及其对管片内力影响研究[J].中国铁道科学,2013,34(5):46-53.(GUO Rui,HE Chuan,FENG Kun,et al.Bending Stiffness of Segment Joint and Its Effects on Segment Internal Force for Underwater Shield Tunnel with Large Cross-Section[J].China Railway Science,2013,34(5):46-53.in Chinese)
[11]LI Zili,SOGA Kenichi,WANG Fei,et al.Behaviour of Cast-Iron Tunnel Segmental Joint from the 3DFE Analyses and Development of a New Bolt-Spring Model[J].Tunnelling and Underground Space Technology,2014,41:176-192.
[12]KOYAMA Yukinori.Present Status and Technology of Shield Tunneling Method in Japan[J].Tunneling Underground Space Technology,2003,18(2):145-159.
[13]村上博智ほか.シールド工事セダメントのセゲメント继手の拳动について[J].土木学会论文报告集,1980,296:73-85.(MURAKAMI Hirotomo.Study on the Mechanical Characteristic of Segment Joints in Shield Tunnel[J].Paper Reports of Civil Society,1980,296:73-85.in Japanese)
[14]TEODOR Iftimie.Prefabricated Lining,Conceptional Analysis and Comparative Studies for Optimal Solution[C]//ITA International Congress Tunnelling and Ground Conditions.Cairo:Egypt,1994:136A-137A.
[15]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)
[16]小泉淳.盾构隧道的抗震研究及算例[M].张稳军,袁大军,译.北京:中国建筑工业出版社,2009:203-210.(KOIZUMI A.Seismic Research and Numerical Examples of Shield Tunnel[M].Translated by ZHANG Wenjun,YUAN Dajun.Beijing:China Architecture&Building Press,2009:203-210.in Chinese)
[17]官林星.错缝拼装下管片宽度对盾构隧道力学行为的影响[J].地下空间与工程学报,2015,11(4):852-858.(GUAN Linxing.Effect of Segment Width on Behavior of Shield Tunnel Assembled in Staggered Pattern[J].Chinese Journal of Underground Space and Engineering,2015,11(4):852-858.in Chinese)
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