带翼缘剪力墙有效翼缘宽度的解析解与简化公式

摘要

为了研究高层建筑结构中带翼缘剪力墙有效翼缘宽度的取值,本文基于能量变分原理,推导了剪力墙翼缘截面正应力的解析表达式,并依据应力等效原则计算了弹性阶段有效翼缘宽度的解析解.采用有限元方法对一组T形截面剪力墙进行了参数化分析,描述了有效翼缘宽度随加载过程的变化规律.通过引入无量纲剪滞系数β定量描述了剪滞效应随不同设计参数的变化规律.根据有限元计算结果,拟合出了不同受力阶段剪滞系数的经验计算式,考虑边界条件的约束构造出了描述正应力分布的曲线函数,进而推导出不同受力阶段有效翼缘宽的简化计算公式.通过与有限元计算结果的比对验证了简化公式的准确性,为工程设计提供参考.%To study the effective flange width of flanged shear walls in high-rise buildings, in this study, we derive an analytical expression for normal stress in the flange section of a shear wall using the energy variational method, then we derive an analytical solution for determining the effective flange width in the elastic stage based on the stress equivalent principle.We perform a parametric analysis for T-shaped shear walls using the finite element (FE) method in order to discuss the change laws of effective flange width along with the loading process and quantitatively describe the variation of the shear lag effect for different parameters by introducing the dimensionless shear lag coefficient β.Based on our FE calculation results, we fitted the empirical formulas of the shear lag coefficients and derived the curve function for describing the normal stress distribution by considering the constraint of boundary conditions.We then obtained simplified calculation formulas for the effective flange width at different loading stages.In a comparison with the finite element calculation results, we verified the accuracy of these simplified formulas, which can provide a reference for project design.