箱梁剪滞效应分析样条有限点法
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摘要
为了研究箱梁剪滞效应,以能量变分法为基础提出一种箱梁剪滞效应分析的样条有限点法.对箱梁底板、顶板及悬臂板分设不同的纵向位移差函数,采用二次抛物线作为箱梁翼缘板纵向位移沿梁宽的分布函数,导出相应广义刚度矩阵和广义荷载列阵.分析了简支梁在均布荷载和跨中集中荷载条件下的剪力滞效应,与相应的试验结果和有限元数值模拟结果对比,验证了该方法的有效性和可靠性.
In order to study the shear lag effect of box girder,a spline finite point method for analyzing the shear lag effect of box girder was proposed based on energy variational principle.Three longitudinal displacement differential functions were assumed for the top,bottom and cantilever plates of box girder.With adopting the quadratic parabola as the distribution function of longitudinal displacement along girder width,the generalized stiffness matrix and load vector were deduced.The shear lag effect of a simply supported beam under uniformly distributed load and concentrated load was analyzed.The results calculated by finite element method were compared with the experimental results.The validity and reliability of the proposed method get proved.
In order to study the shear lag effect of box girder,a spline finite point method for analyzing the shear lag effect of box girder was proposed based on energy variational principle.Three longitudinal displacement differential functions were assumed for the top,bottom and cantilever plates of box girder.With adopting the quadratic parabola as the distribution function of longitudinal displacement along girder width,the generalized stiffness matrix and load vector were deduced.The shear lag effect of a simply supported beam under uniformly distributed load and concentrated load was analyzed.The results calculated by finite element method were compared with the experimental results.The validity and reliability of the proposed method get proved.
引文
[1]Reisser E.Analysis of shear lag in box beam by prin-ciple of minimum potential energy[J].Quarterly of Applied Mathematics,1946,5(3):268-278.
[2]Kuzmanovic B O,Graham H J.Shear lag in box gird-ers[J].Journal of Structural Division,ASCE,1981,107(9):1701-1712.
[3]赵青,肖卓.城市立交曲线箱梁桥的地震响应分析[J].沈阳工业大学学报,2009,31(2):230-235.(ZHAO Qing,XIAO Zhuo.Seismic response analysis on urban overpass curved box-girder bridge[J].Jour-nal of Shenyang University of Technology,2009,31(2):230-235.)
[4]Luo Q Z,Li Q S.Shear lag of thin-walled curved box girder bridges[J].Journal of Engineering Mechanics,ASCE,2000,126(10):1111-1114.
[5]Wu Y P,Liu S Z,Zhu Y L,et al.Matrix analysis of shear lag and shear deformation in thin-walled box beams[J]Journal of Engineering Mechanics,ASCE,2003,129(8):944-950.
[6]Chartree L,Taweep C.Deflection of simply supported box girder including effect of shear lag[J].Compu-ters and Structures,2005,84:11-18.
[7]Luo Q Z,Wu Y M,Li Q S,et al.A finite segment model for shear lag analysis[J].Engineering Struc-tures,2004,26:2113-2124.
[8]李斌,何先明,韦成龙.箱梁剪力滞后分析的传递矩阵法[J].湖南理工学院学报,2008,21(1):57-60.(LI Bin,HE Xian-ming,WEI Cheng-long.Transfermatrix method for considering both shear lag and shear deformation effects in box girder bridges[J].Journal of Hunan Institute of Science and Technology,2008,21(1):57-60.)
[9]邓戈,金康宁.等截面箱形梁剪力滞效应的变分解法[J].华中科技大学学报,2004,21(2):53-56.(DENG Ge,JIN Kang-ning.Variational method for the shear lag effect in constant section thin walled box girder[J].Journal of Huazhong University of Science and Technology,2004,21(2):53-56.)
[10]罗旗帜.薄壁箱形梁剪力滞计算的梁段有限元法[J].湖南大学学报,1991,18(2):33-39.(LUO Qi-zhi.Calculation of the shear lag in thin walled box girders by the finite segment method[J].Journal of Hunan University,1991,18(2):33-39.)
[11]周世军.箱梁剪力滞效应分析的有限梁段法[J].铁道学报,2007,29(5):85-88.(ZHOU Shi-jun.Finite segment method of shear lag analysis of box girders[J].Journal of The China Railway Society,2007,29(5):85-88.)
[12]王勖成.有限单元法[M].北京:清华大学出版社,2003.(WANG Xu-cheng.Finite element method[M].Bei-jing:Tsinghua University Press,2003.)
[13]秦荣.结构力学的样条函数方法[M].南宁:广西人民出版社,1985.(QIN Rong.Spline function of structural mechanics[M].Nanning:Guangxi People's Publishing House,1985.)
[2]Kuzmanovic B O,Graham H J.Shear lag in box gird-ers[J].Journal of Structural Division,ASCE,1981,107(9):1701-1712.
[3]赵青,肖卓.城市立交曲线箱梁桥的地震响应分析[J].沈阳工业大学学报,2009,31(2):230-235.(ZHAO Qing,XIAO Zhuo.Seismic response analysis on urban overpass curved box-girder bridge[J].Jour-nal of Shenyang University of Technology,2009,31(2):230-235.)
[4]Luo Q Z,Li Q S.Shear lag of thin-walled curved box girder bridges[J].Journal of Engineering Mechanics,ASCE,2000,126(10):1111-1114.
[5]Wu Y P,Liu S Z,Zhu Y L,et al.Matrix analysis of shear lag and shear deformation in thin-walled box beams[J]Journal of Engineering Mechanics,ASCE,2003,129(8):944-950.
[6]Chartree L,Taweep C.Deflection of simply supported box girder including effect of shear lag[J].Compu-ters and Structures,2005,84:11-18.
[7]Luo Q Z,Wu Y M,Li Q S,et al.A finite segment model for shear lag analysis[J].Engineering Struc-tures,2004,26:2113-2124.
[8]李斌,何先明,韦成龙.箱梁剪力滞后分析的传递矩阵法[J].湖南理工学院学报,2008,21(1):57-60.(LI Bin,HE Xian-ming,WEI Cheng-long.Transfermatrix method for considering both shear lag and shear deformation effects in box girder bridges[J].Journal of Hunan Institute of Science and Technology,2008,21(1):57-60.)
[9]邓戈,金康宁.等截面箱形梁剪力滞效应的变分解法[J].华中科技大学学报,2004,21(2):53-56.(DENG Ge,JIN Kang-ning.Variational method for the shear lag effect in constant section thin walled box girder[J].Journal of Huazhong University of Science and Technology,2004,21(2):53-56.)
[10]罗旗帜.薄壁箱形梁剪力滞计算的梁段有限元法[J].湖南大学学报,1991,18(2):33-39.(LUO Qi-zhi.Calculation of the shear lag in thin walled box girders by the finite segment method[J].Journal of Hunan University,1991,18(2):33-39.)
[11]周世军.箱梁剪力滞效应分析的有限梁段法[J].铁道学报,2007,29(5):85-88.(ZHOU Shi-jun.Finite segment method of shear lag analysis of box girders[J].Journal of The China Railway Society,2007,29(5):85-88.)
[12]王勖成.有限单元法[M].北京:清华大学出版社,2003.(WANG Xu-cheng.Finite element method[M].Bei-jing:Tsinghua University Press,2003.)
[13]秦荣.结构力学的样条函数方法[M].南宁:广西人民出版社,1985.(QIN Rong.Spline function of structural mechanics[M].Nanning:Guangxi People's Publishing House,1985.)
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