竖向偏心荷载作用下悬臂箱梁畸变效应研究  

Research on distortion effect of cantilever box girder under eccentric vertical load

作　　者：王妍 张元海[1] WANG Yan;ZHANG Yuanhai(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070

出　　处：《铁道科学与工程学报》2021年第2期408-416,共9页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(51968040,51468032)。

摘　　要：在改进的箱梁畸变效应解析理论基础上,用能量变分法建立畸变控制微分方程,根据边界条件推导出两端设置横隔板的悬臂箱梁在竖向偏心均布荷载作用下的畸变效应计算式。通过有限元软件ANSYS对所推导公式的正确性进行验证。结合数值算例详细分析参数变化对悬臂箱梁畸变效应的影响。研究结果表明:高宽比对悬臂箱梁畸变翘曲正应力的影响程度大于对横向单宽弯矩的影响程度,当高宽比约为1.5时悬臂箱梁畸变效应最为显著;当高宽比和悬臂板相对宽度变化时,畸变翘曲正应力发生变号以及横向单宽弯矩出现峰值的截面位置也会改变;悬臂板相对宽度对畸变效应影响较小;荷载偏心率对畸变效应影响显著。Based on the modified distortion theory of box girders,the governing differential equation was established by applying energy variation method.The calculation formulas of distortion effect of the box girder with diaphragms in both ends subjected to the vertical eccentric uniform load were derived according to the boundary condition.The correctness of the formulas derived in this paper was verified through finite element software ANSYS.The influences of parameters on distortion effect of the box girder were analyzed through numerical examples.It is shown that the influence degree of height to width ratio on distortional warping normal stresses of cantilever box girder is more remarkable than the transverse unit width bending moment.The distortion effect of the box girder is most significant when the height to width ratio is approximately 1.5.The cross-section where the sign of distortional warping normal stresses changes and the peak value of transverse unitwidth bending moment emerges vary with the height to width ratio and the relative width of cantilever slab.The relative width of cantilever slab has little influence on distortion effect.The load eccentricity has a significant effect on distortion effect.

关 键 词：悬臂箱梁 能量变分法 畸变效应 翘曲正应力 横向弯矩 

分 类 号：U448.213[建筑科学—桥梁与隧道工程]