考虑横隔板变形影响的薄壁箱梁畸变分析  

Analysis on distortion of thin-walled box girders considering deformation of diaphragms

作　　者：张元海[1] 刘泽翔 周福成 Zhang Yuanhai;Liu Zexiang;Zhou Fucheng(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,兰州730070

出　　处：《东南大学学报（自然科学版）》2024年第6期1456-1463,共8页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(52368020,51968040);兰州交通大学基础研究拔尖人才计划资助项目(2022JC17)。

摘　　要：为了克服薄壁箱梁畸变分析中按刚性横隔板处理的不足,提出一种考虑横隔板变形影响的改进解析法.根据箱梁横截面的畸变变形与横隔板本身畸变变形之间的协调关系,求解横隔板提供的约束畸变矩,并对畸变矩的物理意义提出了明确解释.针对板形、X形、V形及框架形横隔板,导出了其抗畸变刚度计算公式,并分析了不同横隔板对箱梁畸变效应的影响.研究结果表明:畸变矩是箱梁横截面内剪力流对任一角点产生的2个大小相等而方向相反的力矩;在板形、X形及V形3种横隔板中,板形横隔板的抗畸变刚度最大,V形横隔板最小;布置板形横隔板时箱梁的畸变广义内力均接近于刚性横隔板时的相应内力,但畸变角和横向弯矩均与布置刚性横隔板时相差较大;与X形和V形横隔板相比,板形横隔板使箱梁在跨内产生更大的翘曲位移.To overcome the shortcomings of using rigid diaphragms in the distortion analysis of thin-walled box girders,an improved analytical method considering the influence of diaphragm deformation was proposed.Based on the compatibility relationship between the distortion deformation of the box girder cross section and that of the diaphragm itself,the constraint distortion moment provided by the diaphragm was solved,and a clear explanation of the physical meaning of the distortion moment was presented.Formulas for calculating the anti-distortion stiffness of plate-,X-,V-,and frame-shaped diaphragms were derived,respectively,and the influence of different diaphragms on the distortion effect of box girders was analyzed.The research results show that the distortion moment is two equal but opposite moments generated by the shear flow to any corner in the cross section of a box girder.Among the three types of diaphragms,the plate-shaped diaphragm has the highest anti-distortion stiffness,while the V-shaped diaphragm has the smallest.The generalized internal forces of box girders when arranging the plate-shaped diaphragm are close to the corresponding internal forces when arranging rigid diaphragm,but the distortion angle and the transverse bending moment are significantly different from those when arranging rigid diaphragm.Compared with the X-and V-shaped diaphragms,the plate-shaped diaphragms cause greater warping displacement within the span of box girders.

关 键 词：薄壁箱梁 畸变 能量变分法 横隔板 抗畸变刚度 畸变矩 

分 类 号：U448.213[建筑科学—桥梁与隧道工程]