大跨径体内外混合配束连续刚构桥有限元分析
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摘要
为了准确模拟体外预应力筋的受力行为,以一座大跨径体内外混合配束连续刚构桥为例,分别采用带刚臂杆单元和考虑自由滑移的体外筋单元模拟体外预应力筋,进行了考虑混凝土收缩徐变效应和节段施工特点的有限元分析,其中,自由滑移的体外筋模型是基于体外预应力筋与转向块之间可自由滑动而导致体外预应力筋在全(换字)长范围内为常应变构件的受力特点而建立。从关键截面挠度、弯矩、体外筋轴力方面对比分析了各模型的计算结果。研究结果表明,三种不同计算方式下连续刚构桥的内力和挠度区别不大,但是体外筋应力的区别较大,在需精确考量体外筋轴力值的情况下,对同类桥梁进行计算时应慎重考虑。
An accurate simulation for externally prestressing tendon of structure is the key problem of finite element analysis.An long-span concrete continuous rigid frame bridge with arrangement of internal and external tendons is taken as example,simulation of externally prestressing tendon by using truss elements with rigid arms and external tendons elements for free sliding are made respectively.The proposed method of analysis is formulated for considering shrinkage and creep of concrete as well as segmental construction,which external tendons elements for free sliding are based on the external tendons are members for the normally elastic strain caused by the free sliding between external tendons and deviators.Some numerical examples are solved to verify the reliability and correctness of the various models.It is shows that there is little difference between the internal force and deflection of the continuous rigid frame bridge under three different calculation methods,but there isabig difference in the stress of external tendon,in the case of accurate calculation of the stress of external tendon,the calculation of similar bridges should be carefully considered.
An accurate simulation for externally prestressing tendon of structure is the key problem of finite element analysis.An long-span concrete continuous rigid frame bridge with arrangement of internal and external tendons is taken as example,simulation of externally prestressing tendon by using truss elements with rigid arms and external tendons elements for free sliding are made respectively.The proposed method of analysis is formulated for considering shrinkage and creep of concrete as well as segmental construction,which external tendons elements for free sliding are based on the external tendons are members for the normally elastic strain caused by the free sliding between external tendons and deviators.Some numerical examples are solved to verify the reliability and correctness of the various models.It is shows that there is little difference between the internal force and deflection of the continuous rigid frame bridge under three different calculation methods,but there isabig difference in the stress of external tendon,in the case of accurate calculation of the stress of external tendon,the calculation of similar bridges should be carefully considered.
引文
[1]项海帆.桥梁概念设计[M].北京:人民交通出版社,2011.XIANG Hai-fan.Conceptual bridge design[M].Beijing:China Communications Press,2011.
[2]石雪飞,杨琪,阮欣.已建大跨径PC梁桥过量下挠及开裂处治技术[M].北京:人民交通出版社,2010.SHI Xue-fei,YANG Qi,RUAN Xin.Treatment technology for excessive downwarping and cracking of long-span PC girder bridges[M].Beijing:China Communications Press,2010.
[3]王国亮,谢峻,傅宇方.在用大跨度预应力混凝土箱梁桥裂缝调查研究[J].公路交通科技,2008,25(8):52-56.WANG Guo-liang,XIE Jun,FU Yu-fang.Investigation research on crack of long-span prestressed concrete box girder bridges in service[J].Journal of Highway and Transportation Research and Development,2008,25(8):52-56.
[4]楼庄鸿.大跨径梁式桥的主要病害[J].公路交通科技,2006,23(4):84-87.LOU Zhuang-hong.Main faults in large span beam bridges[J].Journal of Highway and Transportation Research and Development,2006,23(4):84-87.
[5]黄海东,向中富,牛洪,等.连续刚构桥体外索加固约束效应分析[J].重庆交通大学学报:自然科学版,2008,27(4):520-524.HUANG Hai-dong,XIANG Zhong-fu,NIU Hong,Xu,et al.Analysis of the restraint in continuous rigid frame bridge retrofitted by external post-tensioning[J].Journal of Chongqing University:Natural Science Edition,2008,27(4):520-524.
[6]黄学文,胡守旺,刘洋,等.体内体外混合配束连续刚构桥主梁下挠及处治分析[J].长沙理工大学学报:自然科学版,2015(3):68-76.HUANG Xue-wen,HU Shou-wang,LIU Yang,et al.Processing analysis of main girder for long-span concrete continuous girder bridge with mixed arrangement of internal and external tendons[J].Journal of Changsha University of Science and Technology:Nature Science,2015(3):68-76.
[7]袁爱民,钱守龙,周元华,等.体内体外混合配束节段预制箱梁的数值模拟[A].第二十一届全国桥梁学术会议论文集(上册)[C].北京:人民交通出版社,2014:356-362.YUAN Ai-ming,QIAN Shou-long,ZHOU Yuanhua,et al.Numerical simulation of prefabricated box girder with mixed beam matching of internal and external tendons[A].Chinese Society of Civil Engineering.Proceedings of the 21st National Conference on Bridges:volume one[C].Beijing:China Communications Press,2014:356-362.
[8]郑伟,吴毅彬,袁鑫,等.体外预应力索加固大跨径连续刚构桥空间受力计算分析[J].公路,2014(1):26-30.ZHENG Wei,WU Yi-bin,YUAN Xin,et al.Calculation and analysis of spatial forces of long span continuous rigid frame bridges strengthened by external prestressed cables[J].Highway,2014(1):26-30.
[9]陶庆东,刘跃国.体内体外混合预应力配束连续刚构桥力学性能对比分析[J].施工技术,2017,46(2):63-68.TAO Qing-dong,LIU Yue-guo.Comparative analysis of the mechanical properties of the in-vivo and invitro mixed prestressed continuous rigid frame bridge[J].Construction Technology,2017,46(2):63-68.
[10]李传习,夏桂云,贺玲凤,等.体外预应力混凝土梁有限元分析[J].华南理工大学学报:自然科学版,2003,31(S1):104-106.LI Chuan-xi,XIA Gui-yun,He Ling-feng,et al.Finite element analysis of externally prestressed concrete bridge[J].Journal of South China University of Technology:Natural Science Edition,2003,31(S1):104-106.
[11]颜东煌,田仲初,李学文.桥梁结构电算程序设计[M].长沙:湖南大学出版社,1999.YAN Dong-huang,TIAN Zhong-chu,LI Xue-wen.Design of computing for bridge structures program[M].Changsha:Hunan University Press,1999.
[12]颜东煌,田仲初,李学文,等.混凝土桥梁收缩徐变计算的有限元方法与应用[J].中国公路学报,2004,17(2):55-58.YAN Dong-huang,TIAN Zhong-chu,LI Xue-wen,et al.Finite element method and application for the shrinkage and creep of concrete bridges[J].China Journal of Highway and Transport,2004,17(2):55-58.
[13]邓继华,邵旭东,谭平.几何非线性与徐变共同作用下三维杆系结构有限元分析[J].工程力学,2015(6):117-123.DENG Ji-hua,SHAO Xu-dong,TAN Ping.Finte element analysis for 3-D frame structures under combined actions of geomtric nonlinearity and creep[J].Engineering Mechanics,2015(6):117-123.
[14]范立础.预应力混凝土连续梁桥[M].北京:人民交通出版社,1988:291-297.FAN Li-chu.Prestressed concrete continuous beam bridge[M].Beijing:China Communications Press,1988:291-297.
[15]王书庆.徐变自动增量分析方法及其在BRCAD系统中的实现[A].中国公路学会桥梁和结构工程学会一九九九年桥梁学术讨论会论文集[C].北京:人民交通出版社,1999:822-826.WANG Shu-qing.The method of automatic incremental creep analysis and its realization in BRCAD system[A].Proceedings of the Bridge Symposium1999,Bridge and Structural Engineering Society of China[C].Beijing:China Communication Press,1999:822-826.
[2]石雪飞,杨琪,阮欣.已建大跨径PC梁桥过量下挠及开裂处治技术[M].北京:人民交通出版社,2010.SHI Xue-fei,YANG Qi,RUAN Xin.Treatment technology for excessive downwarping and cracking of long-span PC girder bridges[M].Beijing:China Communications Press,2010.
[3]王国亮,谢峻,傅宇方.在用大跨度预应力混凝土箱梁桥裂缝调查研究[J].公路交通科技,2008,25(8):52-56.WANG Guo-liang,XIE Jun,FU Yu-fang.Investigation research on crack of long-span prestressed concrete box girder bridges in service[J].Journal of Highway and Transportation Research and Development,2008,25(8):52-56.
[4]楼庄鸿.大跨径梁式桥的主要病害[J].公路交通科技,2006,23(4):84-87.LOU Zhuang-hong.Main faults in large span beam bridges[J].Journal of Highway and Transportation Research and Development,2006,23(4):84-87.
[5]黄海东,向中富,牛洪,等.连续刚构桥体外索加固约束效应分析[J].重庆交通大学学报:自然科学版,2008,27(4):520-524.HUANG Hai-dong,XIANG Zhong-fu,NIU Hong,Xu,et al.Analysis of the restraint in continuous rigid frame bridge retrofitted by external post-tensioning[J].Journal of Chongqing University:Natural Science Edition,2008,27(4):520-524.
[6]黄学文,胡守旺,刘洋,等.体内体外混合配束连续刚构桥主梁下挠及处治分析[J].长沙理工大学学报:自然科学版,2015(3):68-76.HUANG Xue-wen,HU Shou-wang,LIU Yang,et al.Processing analysis of main girder for long-span concrete continuous girder bridge with mixed arrangement of internal and external tendons[J].Journal of Changsha University of Science and Technology:Nature Science,2015(3):68-76.
[7]袁爱民,钱守龙,周元华,等.体内体外混合配束节段预制箱梁的数值模拟[A].第二十一届全国桥梁学术会议论文集(上册)[C].北京:人民交通出版社,2014:356-362.YUAN Ai-ming,QIAN Shou-long,ZHOU Yuanhua,et al.Numerical simulation of prefabricated box girder with mixed beam matching of internal and external tendons[A].Chinese Society of Civil Engineering.Proceedings of the 21st National Conference on Bridges:volume one[C].Beijing:China Communications Press,2014:356-362.
[8]郑伟,吴毅彬,袁鑫,等.体外预应力索加固大跨径连续刚构桥空间受力计算分析[J].公路,2014(1):26-30.ZHENG Wei,WU Yi-bin,YUAN Xin,et al.Calculation and analysis of spatial forces of long span continuous rigid frame bridges strengthened by external prestressed cables[J].Highway,2014(1):26-30.
[9]陶庆东,刘跃国.体内体外混合预应力配束连续刚构桥力学性能对比分析[J].施工技术,2017,46(2):63-68.TAO Qing-dong,LIU Yue-guo.Comparative analysis of the mechanical properties of the in-vivo and invitro mixed prestressed continuous rigid frame bridge[J].Construction Technology,2017,46(2):63-68.
[10]李传习,夏桂云,贺玲凤,等.体外预应力混凝土梁有限元分析[J].华南理工大学学报:自然科学版,2003,31(S1):104-106.LI Chuan-xi,XIA Gui-yun,He Ling-feng,et al.Finite element analysis of externally prestressed concrete bridge[J].Journal of South China University of Technology:Natural Science Edition,2003,31(S1):104-106.
[11]颜东煌,田仲初,李学文.桥梁结构电算程序设计[M].长沙:湖南大学出版社,1999.YAN Dong-huang,TIAN Zhong-chu,LI Xue-wen.Design of computing for bridge structures program[M].Changsha:Hunan University Press,1999.
[12]颜东煌,田仲初,李学文,等.混凝土桥梁收缩徐变计算的有限元方法与应用[J].中国公路学报,2004,17(2):55-58.YAN Dong-huang,TIAN Zhong-chu,LI Xue-wen,et al.Finite element method and application for the shrinkage and creep of concrete bridges[J].China Journal of Highway and Transport,2004,17(2):55-58.
[13]邓继华,邵旭东,谭平.几何非线性与徐变共同作用下三维杆系结构有限元分析[J].工程力学,2015(6):117-123.DENG Ji-hua,SHAO Xu-dong,TAN Ping.Finte element analysis for 3-D frame structures under combined actions of geomtric nonlinearity and creep[J].Engineering Mechanics,2015(6):117-123.
[14]范立础.预应力混凝土连续梁桥[M].北京:人民交通出版社,1988:291-297.FAN Li-chu.Prestressed concrete continuous beam bridge[M].Beijing:China Communications Press,1988:291-297.
[15]王书庆.徐变自动增量分析方法及其在BRCAD系统中的实现[A].中国公路学会桥梁和结构工程学会一九九九年桥梁学术讨论会论文集[C].北京:人民交通出版社,1999:822-826.WANG Shu-qing.The method of automatic incremental creep analysis and its realization in BRCAD system[A].Proceedings of the Bridge Symposium1999,Bridge and Structural Engineering Society of China[C].Beijing:China Communication Press,1999:822-826.
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