薄壁简支箱梁剪滞翘曲位移模式研究

翼板纵向翘曲位移模式是否妥当对剪滞效应的分析有很大影响。该文在板壳理论的基础上建立有限元模型,考察薄壁箱梁在弯曲变形时翼板纵向位移沿横向的不均匀分布。应用回归分析方法,用最小二乘法对各种假定逐一拟合,以残差大小作为检验函数逼近程度的指标;当残差平方和最小时,其对应的函数形式也就最符合真实变形。

Study on Shear Lag Warping Displacement Mode of Thin-wall Simple-supported Box Girder

Whether or not appropriate the longitudinal warping displacement model of wing plate has the great influence on the analysis of shear lag effect.On the basis of the plate and shell theory,the article sets up the finite element model,and inspects the non-uniform distribution of longitudinal displacement of wing plate along the transverse when the thin-wall box girder is bent and deformed.The regression analysis method and the least square method are used to fit various assumptions one by one.The residual size is taken as the index to inspect the approximation degree of function.Its corresponding function type is the most realistic deformation when the residual sum of squares is the minimum.