基于剪切变形宽翼薄壁工字形梁剪滞效应的分析  

Analysis of Shear Hysteresis Effect of Wide-wing Thin-wall I-beam Based on Shear Deformation

作　　者：李凯[1] Li Kai(Tangshan Polytechnic College,Tangshan 063299,China)

机构地区：[1]唐山工业职业技术学院,河北唐山063299

出　　处：《黑龙江科学》2023年第6期64-66,69,共4页Heilongjiang Science

摘　　要：分析了宽翼薄壁工字形梁竖向弯曲时的翼缘和腹板剪力流分布规律,利用剪切变形来定义剪滞翘曲位移函数,采用基于最小势能原理的能量变分法,建立了宽翼薄壁工字形梁剪滞效应分析的剪力滞控制微分方程和边界条件。以剪力滞广义位移、竖向挠度、竖直平面内转角、剪力、弯矩及剪力滞广义力矩作为6个初参数,给出了任意集中荷载作用下微分方程的初参数解。对简支工字形截面梁模型进行计算,应力和挠度计算结果与有限元较吻合,证明该方法有效。The study analyzes the shear flow distribution of flange and web of a wide-wing thin-wall I-beam under vertical bending,defines the displacement function of shear hysteresis with shear deformation,and establishes governing differential equations and boundary conditions of shear lag based on analysis of shear hysteresis effect of wide wing thin wall I-beam with energy variational method based on minimum potential energy principle.Through taking 6 initial conditions,such as shearing force lag generalized displacement,vertical deflection,angle inside the vertical plane,shearing force,bending moment and shear lag generalized moment,initial parametric solutions of differential equations under arbitrary concentrated loads are given.The results of stress and deflection are in good agreement with the finite element method,which proves that the method is effective.

关 键 词：宽翼薄壁工字形梁 剪滞翘曲位移函数 剪滞效应分析 初参数解 

分 类 号：U441[建筑科学—桥梁与隧道工程]