基于余弦翘曲位移函数的薄壁箱梁剪力滞效应分析  

Analysis of Shear Lag Effect in Thin-walled Box Girder Based on Cosine Warping Displacement Function

作　　者：宋爱明 李志聪[3] 周鹏 万水[2] 苏强 SONG Aiming;LI Zhicong;ZHOU Peng;WAN Shui;SU Qiang(School of Civil Engineering,Yancheng Institue of Technologyi Yancheng,Jiangsu 224051,China;School of Transportation,Southeast University,Nanjing,Jiangsu 211189,China;Hebei Provincial Communications Planning and Design Institute,Shijiazhuang,Hebei 050011,China)

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]东南大学交通学院,江苏南京211189 [3]河北省交通规划设计院,河北石家庄050011

出　　处：《公路工程》2021年第3期12-18,共7页Highway Engineering

基　　金：国家自然科学基金项目(51878151),河北省交通运输科研项目(Y-2014054),江苏省普通高校研究生科研创新计划项目(KYLX15_0143)。

摘　　要：首先,选取余弦函数作为薄壁箱梁翼板剪滞翘曲位移函数,并在横截面的底板、顶板和悬臂板分别引入3个剪切转角最大差值函数,建立薄壁箱梁体系总势能表达式,进而根据变分原理推导出3个微分控制方程;然后,进一步对二阶常系数微分方程组进行求解,并以承受对称均布荷载的简支箱梁为算例,推导出薄壁箱梁任意横截面不同翼板处的法向弯曲应力σix和无剪力滞效应时横向荷位e的计算方法;最后,采用有限元软件ANSYS建立对简支箱梁算例进行数值模型和分析,结果表明,按本文方法得到的截面弯曲应力结果与有限元数值解吻合度较高,验证了本文理论方法的可靠性。The cosine function was selected as the shear warp displacement function of thin-walled box girder,and three functions of maximum shear angular rotations were defined in the bottom plate,top plate and cantilever plate respectively.The total potential energy expression of thin-walled box girder system was established,and three differential governing equations were further derived according to the variational principle.By solving the second order differential equations with constant coefficients and taking a simply supported box girder under symmetrical uniformly distributed load as an calculating example,the expressions of bending normal stressσix of flange slabs and lateral loading position e of box girder section without shear lag effect were derived.The finite element model of the calculating example was established and analysed by using ANSYS software.The results showed that the theoretical results of section bending stress obtained by the analysis method of this paper were in good agreement with the finite element numerical solution,and the reliability of this method was verified.

关 键 词：薄壁箱梁 剪力滞效应 余弦函数 微分方程 数值分析 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]