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任意非对称截面薄壁箱梁畸变效应分析OA

Analysis on distortion effect of thin-walled box girders with arbitrary asymmetric cross section

中文摘要英文摘要

为了分析非对称截面薄壁箱梁的畸变效应,根据角点位移与各板面内位移之间的协调关系,建立畸变翘曲率的通用表达式,并引入非对称箱形截面的抗畸变刚度概念,应用能量变分原理建立了任意非对称截面箱梁的畸变控制微分方程.基于梁段有限元列式,编制任意非对称截面箱梁畸变效应分析程序,实现对任意非对称单室截面箱梁畸变翘曲几何特性、畸变广义内力和位移、畸变翘曲应力的一体化计算.研究结果表明,解析法计算结果与Ansys壳单元计算结果总体上吻合良好.顶板倾斜布置的非对称截面箱梁的畸变翘曲正应力最大值位于较低腹板与底板交点处,且在底板内产生很大的畸变翘曲剪应力.对于混凝土箱梁,畸变效应可能导致底板产生面内斜裂缝,在设计中应充分考虑其不利影响.

In order to analyze the distortion effect of thin-walled box girders with asymmetric cross section,a general expression for the distortional warping rate was established based on the compatibility relationship be-tween the corner displacement and the in-plane displacement of each plate.The concept of anti-distortion stiff-ness for asymmetric box cross sections was introduced,and the energy variation principle was applied to estab-lish the governed differential equation for distortion of box girders with arbitrary asymmetric cross section.Based on the beam-segment finite element formulation,a program for analyzing the distortion effect of box girders with arbitrary asymmetric cross section was developed to achieve integrated calculation of the distor-tional warping geometric property,the distortional generalized internal force and displacement,and the distor-tional warping stress of the box girders with arbitrary asymmetric single-cell cross section.The research results show that the calculation results by the analytical method are generally in a good agreement with those by the Ansys shell element.The maximum value of the distortional warping normal stress of the asymmetric cross section box girder with inclined top plate is located at the intersection of the lower web plate and the bottom plate,and significant distortional warping shear stress occurs inside the bottom plate.For concrete box gird-ers,distortion effect may cause in-plane diagonal crack in the bottom plate,and the unfavorable effect should be fully considered in design process.

张元海;张磊;王晨光;李科强

兰州交通大学土木工程学院,兰州 730070兰州交通大学土木工程学院,兰州 730070兰州交通大学土木工程学院,兰州 730070兰州交通大学土木工程学院,兰州 730070

交通工程

薄壁箱梁畸变非对称截面抗畸变刚度梁段单元翘曲应力

thin-walled box girderdistortionasymmetric cross sectionanti-distortion stiffnessbeam-seg-ment elementwarping stress

《东南大学学报(自然科学版)》 2026 (6)

856-864,9

国家自然科学基金资助项目(52368020,52508195).

10.3969/j.issn.1001-0505.2026.06.007

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