摘要
为准确分析设置柔性横隔板的曲线波形腹板钢箱组合梁(CSBCG-CSWs)的畸变效应,本文基于畸变翘曲位移、弯扭耦合位移与梁体内力的关系,建立CSBCG-CSWs的畸变翘曲位移模式,并导出由弯扭耦合效应引起的附加畸变框架挠曲势能;应用虚功原理求解柔性横隔板的抗畸变刚度;基于能量变分法建立畸变微分方程,分析CSBCG-CSWs畸变效应的影响因素。研究结果表明:本文解析解与实验值、Abaqus数值解吻合良好;与未设置实腹式跨内横隔板的结果相比,当设置1~2道实腹式跨内横隔板时,跨内最大畸变双力矩分别降低77.7%、85.6%;与设置X型、K型横隔板的结果相比,当设置实腹式横隔板时,跨内最大畸变双力矩降低25%;集中荷载引起的畸变效应主要受加载点是否设置横隔板影响;均布荷载更能反映设置跨内横隔板曲梁的整体畸变效应;当波形腹板钢箱组合梁畸变应力比分别控制在10%、5%以内时,直线钢箱组合梁横隔板间距需满足分别<8、6 m,曲线钢箱组合梁横隔板间距需满足分别<6、5 m,且计入自重荷载可降低畸变应力比;当跨内实腹式横隔板厚度>6 mm时,增加厚度对直线、曲线波形腹板钢箱组合梁畸变效应的抑制效果无明显提升;当圆心角从0°增加至28°时,CSBCG-CSWs 1/4跨和1/2跨截面畸变翘曲正应力分别增加74.6%和87.4%。
In order to accurately analyze distortion effect of supported curved steel box composite girders with corrugated webs(CSBCG-CSWs)and flexible diaphragms,in this paper the distortion warping displacement mode of CSBCG-CSWs was established based on the relationship between distortional warping displacement,bending-torsion coupled displacement and internal force of composite girder,and the potential energy of the additional distortion frame deflection caused by the bending-torsion coupled effect was derived.The anti-distortion stiffness of flexible diaphragms was solved by using virtual work principle.The distortion differential equation was established based on the energy variational method,and the influencing factors of CSBCG-CSWs distortion effect were analyzed.The results if the study show that the analytical solution in this paper was in good agreement with the experimental value and Abaqus numerical solution.Compared with the results without the intermediate diaphragm of plate-type,the maximum distortion bi-moment is reduced by 77.7%,85.6% respectively when 1~2 passes intermediate diaphragm of plate-type are set.Compared with the results of setting intermediate diaphragms of X-type and K-type,the maximum distortion bi-moment is reduced by 25% when diaphragm of plate-type is set.The distortion effect caused by concentrated load is mainly affected by the presence or absence of diaphragms at the loading point.The uniform load can better reflect the overall distortion effect of the composite box girder with intermediate diaphragm.When the distortion stress ratio of the steel box composite girder with corrugated webs is controlled within 10% and 5% respectively,the intermediate diaphragm spacing needs to be satisfied:the straight steel box composite girder is less than 8m and 6m,and the curved steel box composite girder is less than 6m and 5m respectively,and distortion stress ratio can be reduced when the self-gravity load is taken into account.The increase of intermediate diaphragm thickness has no obvious enhance on suppressing effect the distortion effect of the straight and curved steel box composite girder with corrugated web when the thickness of the intermediate diaphragm of plane-type is more than 6mm.When the central angle increases from 0°to 28°,the distortional warping normal stresses of 1/4-span and 1/2-span cross-setions of CSBCG-CSWs increase by 74.6%and 87.4%,respectively.
作者
王瑞正
张元海
WANG Rui-zheng;ZHANG Yuan-hai(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《吉林大学学报(工学版)》
北大核心
2025年第11期3641-3652,共12页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(51968040,52368020)
兰州交通大学基础研究拔尖人才计划项目(2022JC17).
关键词
桥梁工程
波形钢腹板组合梁
变分法
畸变
横隔板刚度
bridge engineering
composite girder with corrugated steel web
variation calculus
distortion
diaphragm rigidity
