S型曲线钢箱梁桥空间受力特性研究
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摘要
为分析S型曲线钢箱梁桥的空间受力特性和纵横向剪力滞效应,基于Midas考虑翘曲变形的七自由度梁单元和ANSYS的Shell181壳单元,对一座四跨S型曲线连续钢箱梁桥进行全桥空间精细化仿真建模,研究其在不同荷载作用之下的结构位移、截面应力、支座反力及自振特性,并找出结构的最不利情况及其应力分布规律。经2种有限元单元的结果对比,可知采用板壳单元模型较之梁单元模型对该类桥梁弯扭耦合效应的模拟更为准确,其各项分析结果更偏安全,实际设计中对该类结构应尽可能采用板壳单元进行建模检算。为进一步研究其剪力滞效应,基于ANSYS计算结果研究了该桥各关键截面顶板的剪力滞效应,得出其剪力滞系数的纵横向变化规律,可为今后类似桥梁的设计提供参考。
To analyze the spatial mechanical performance and shear lag effect in both longitudinal and transversal direction, a three-span S-curve steel box girder bridge was regarded as research object. The 7-DOF beam element of Midas Civil considering warping displacement and Shell181 element of ANSYS were used for the whole bridge spatial simulation based on FEM theory. By detailedly studing the structure displacement, cross section stress, end reaction, and natural vibration characteristics under different loads, the most unfavorable situation of structure and its stress distribution rule were discovered and summarized. By comparing the calculation results of Midas and ANSYS, it can be known that the shell element model is more accurate than the beam element model when simulating the coupled effect of bending and torsion. In the actual design of structures, the shell element should be used for calculating as far as possible because its result can be more safety. In order to further study the shear lag effect, the ANSYS results of some key cross sections of steel box girder bridge were extracted and the change rules of shear lag coefficient in both longitudinal and transversal direction of the bridge were obtained, which can provide reference for design and calculation of similar bridges in the future.
To analyze the spatial mechanical performance and shear lag effect in both longitudinal and transversal direction, a three-span S-curve steel box girder bridge was regarded as research object. The 7-DOF beam element of Midas Civil considering warping displacement and Shell181 element of ANSYS were used for the whole bridge spatial simulation based on FEM theory. By detailedly studing the structure displacement, cross section stress, end reaction, and natural vibration characteristics under different loads, the most unfavorable situation of structure and its stress distribution rule were discovered and summarized. By comparing the calculation results of Midas and ANSYS, it can be known that the shell element model is more accurate than the beam element model when simulating the coupled effect of bending and torsion. In the actual design of structures, the shell element should be used for calculating as far as possible because its result can be more safety. In order to further study the shear lag effect, the ANSYS results of some key cross sections of steel box girder bridge were extracted and the change rules of shear lag coefficient in both longitudinal and transversal direction of the bridge were obtained, which can provide reference for design and calculation of similar bridges in the future.
引文
[1]刘超凤.城市高架桥异型曲线钢箱梁空间受力性能研究[D].长沙:中南大学,2012.LIU Chaofeng.The study of urban viaduct heterotypic curved steel box girder spatial mechanical behavior[D].Changsha:Central South University,2012.
[2]YANG Hongtao,LI Rui,CHEN Zhiqiang.Curve analysis of shear lag effect of box girder bridge[M].Atlantis Press,2015.
[3]董杰.曲线连续钢箱梁梁单元与板单元模型计算分析[J].城市道桥与防洪,2014(1):59-60.DONG Jie.FEM calculation and comparison of continuous curve steel box beam between beam element and plate element model[J].Urban Roads Bridges&Flood Control,2014(1):59-60.
[4]Reissner Eric.On the problem of stress distribution in wide-flanged box-beams[J].Journal of the Aeronautical Sciences(Institute of the Aeronautical Sciences),2015,5(8):295-299.
[5]赵志峰,蔺鹏臻,方炜彬.比拟杆法分析研究单箱三室箱梁剪力滞效应[J].铁道科学与工程学报,2016,13(4):697-704.ZHAO Zhifeng,LIN Pengzhen,FANG Weibin.The bar simulation method for shear lag effect of three-cell box girders[J].Journal of Railway Science and Engineering,2016,13(4):697-704.
[6]牟兆祥,魏诗雅.多室薄壁箱梁剪力滞效应的解析解[J].公路交通科技,2015,32(8):93-99.MOU Zhaoxiang,WEI Shiya.Analytical solution for shear lag effect of multicell thin-walled box girder[J].Journal of Highway and Transportation Research and Development,2015,32(8):93-99.
[7]张元海,胡玉茹,林丽霞.基于修正翘曲位移模式的薄壁箱梁剪力滞效应分析[J].土木工程学报,2015,48(6):44-50.ZHANG Yuanhai,HU Yuru,LIN Lixia.Analysis on shear lag effect of thin-walled box girders based on a modified warping displacement mode[J].China Civil Engineering Journal,2015,48(6):44-50.
[8]陈水生,田正龙,桂水荣.单箱多室波形钢腹板箱梁剪力滞研究[J].公路交通科技,2015,32(7):69-75.CHEN Shuisheng,TIAN Zhenglong,GUI Shuirong.Research on shear lag of single-box multi-cell girder with corrugated steel webs[J].Journal of Highway and Transportation Research and Development,2015,32(7):69-75.
[9]CJJ 69—95,城市人行天桥与人行地道技术规范[S].CJJ 69—95,Technical specification of urban pedestrian overcrossing and underpass[S].
[10]李德建.土木工程结构分析程序设计原理与应用[M].长沙:中南大学出版社,2014.LI Dejian.Civil engineering structure analysis programning principle and its application[M].Changsha:Central South University Press,2014.
[11]黄海彬,李德建,邹振兴.预应力曲线连续梁桥设计[J].华东公路,2010(6):3-5.HUANG Haibin,LI Dejian,ZOU Zhenxing.Design for curve prestressed continuous girder bridge[J].East China Highway,2010(6):3-5.
[12]Hermann Thomas M,Mamarthupatti Dharmaraj,Locke James E.Postbuckling analysis of a wind turbine blade substructure[J].Journal of Solar Energy Engineering,2005,127(4):544-552.
[13]冯威,赵煜.小半径大曲率连续弯钢箱梁桥受力性能研究[J].公路交通科技,2007,24(2):84-87.FENG Wei.ZHAO Yi.Study on bearing performance of continuous steel box girder bridge with small radius and large curvature[J].Journal of Highway and Transportation Research and Development,2007,24(2):84-87.
[14]李遥玉,李德建.不同荷载形式对悬臂箱形梁剪力滞的影响[J].青岛理工大学学报,2007,28(2):36-40.LI Yaoyu,LI Dejian.Influences of different loads over shear lag of cantilever box girder[J].Journal of Qingdao Technological University,2007,28(2):36-40.
[15]ZHANG Yuanhai,LIN Lixia.Shear lag analysis of thin-walled box girders adopting additional deflection as generalized displacement[J].Journal of Engineering Mechanics,2014,140(4):4014005.
[16]ZHOU Y.Analysis of the shear lag effect of cantilever box girder[J].British Poultry Science,2014,55(6):715-719.
[2]YANG Hongtao,LI Rui,CHEN Zhiqiang.Curve analysis of shear lag effect of box girder bridge[M].Atlantis Press,2015.
[3]董杰.曲线连续钢箱梁梁单元与板单元模型计算分析[J].城市道桥与防洪,2014(1):59-60.DONG Jie.FEM calculation and comparison of continuous curve steel box beam between beam element and plate element model[J].Urban Roads Bridges&Flood Control,2014(1):59-60.
[4]Reissner Eric.On the problem of stress distribution in wide-flanged box-beams[J].Journal of the Aeronautical Sciences(Institute of the Aeronautical Sciences),2015,5(8):295-299.
[5]赵志峰,蔺鹏臻,方炜彬.比拟杆法分析研究单箱三室箱梁剪力滞效应[J].铁道科学与工程学报,2016,13(4):697-704.ZHAO Zhifeng,LIN Pengzhen,FANG Weibin.The bar simulation method for shear lag effect of three-cell box girders[J].Journal of Railway Science and Engineering,2016,13(4):697-704.
[6]牟兆祥,魏诗雅.多室薄壁箱梁剪力滞效应的解析解[J].公路交通科技,2015,32(8):93-99.MOU Zhaoxiang,WEI Shiya.Analytical solution for shear lag effect of multicell thin-walled box girder[J].Journal of Highway and Transportation Research and Development,2015,32(8):93-99.
[7]张元海,胡玉茹,林丽霞.基于修正翘曲位移模式的薄壁箱梁剪力滞效应分析[J].土木工程学报,2015,48(6):44-50.ZHANG Yuanhai,HU Yuru,LIN Lixia.Analysis on shear lag effect of thin-walled box girders based on a modified warping displacement mode[J].China Civil Engineering Journal,2015,48(6):44-50.
[8]陈水生,田正龙,桂水荣.单箱多室波形钢腹板箱梁剪力滞研究[J].公路交通科技,2015,32(7):69-75.CHEN Shuisheng,TIAN Zhenglong,GUI Shuirong.Research on shear lag of single-box multi-cell girder with corrugated steel webs[J].Journal of Highway and Transportation Research and Development,2015,32(7):69-75.
[9]CJJ 69—95,城市人行天桥与人行地道技术规范[S].CJJ 69—95,Technical specification of urban pedestrian overcrossing and underpass[S].
[10]李德建.土木工程结构分析程序设计原理与应用[M].长沙:中南大学出版社,2014.LI Dejian.Civil engineering structure analysis programning principle and its application[M].Changsha:Central South University Press,2014.
[11]黄海彬,李德建,邹振兴.预应力曲线连续梁桥设计[J].华东公路,2010(6):3-5.HUANG Haibin,LI Dejian,ZOU Zhenxing.Design for curve prestressed continuous girder bridge[J].East China Highway,2010(6):3-5.
[12]Hermann Thomas M,Mamarthupatti Dharmaraj,Locke James E.Postbuckling analysis of a wind turbine blade substructure[J].Journal of Solar Energy Engineering,2005,127(4):544-552.
[13]冯威,赵煜.小半径大曲率连续弯钢箱梁桥受力性能研究[J].公路交通科技,2007,24(2):84-87.FENG Wei.ZHAO Yi.Study on bearing performance of continuous steel box girder bridge with small radius and large curvature[J].Journal of Highway and Transportation Research and Development,2007,24(2):84-87.
[14]李遥玉,李德建.不同荷载形式对悬臂箱形梁剪力滞的影响[J].青岛理工大学学报,2007,28(2):36-40.LI Yaoyu,LI Dejian.Influences of different loads over shear lag of cantilever box girder[J].Journal of Qingdao Technological University,2007,28(2):36-40.
[15]ZHANG Yuanhai,LIN Lixia.Shear lag analysis of thin-walled box girders adopting additional deflection as generalized displacement[J].Journal of Engineering Mechanics,2014,140(4):4014005.
[16]ZHOU Y.Analysis of the shear lag effect of cantilever box girder[J].British Poultry Science,2014,55(6):715-719.