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为研究荷载横向作用位置变化对箱梁剪滞效应的影响,对箱梁顶、底板、悬臂板分别设置了不同的剪滞纵向位移差函数;假定纵向翘曲位移沿横向分布为k次抛物线,并考虑剪滞和剪切双重效应的影响,通过能量变分法推导出了荷载横向变位时梁段单元的平衡控制微分方程组及其闭合解;提出了能对工程中常见的变截面连续箱梁剪滞效应进行分析的有限梁段法。该方法计算结果与有限元模型、已有模型试验结果的最大误差在5.95%~9.74%之间,两种工况下计算结果的叠加与有限元结果相对误差在0.07%~19.18%之间,均吻合良好,说明将基于有限梁段法的剪滞效应变分解和叠加原理用于求解复杂力状态下的剪滞效应是可行的。剪滞翘曲位移横向分布函数精度选择的研究结果表明:均布荷载分别作用于腹板顶部、顶板中心时,翘曲位移横向分布函数宜分别选用三次、二次抛物线。
In order to study the influence of the position change of lateral load acting on shear lag effect of box girder, different shear lag longitudinal displacement difference functions are set for roof, floor and cantilever plate. Assuming longitudinal warp displacement is k-parabola horizontally, Considering the influence of the double effect of shearing and shearing, the governing equations of equilibrium governing the beam-section elements and their closed solutions are deduced by the method of energy variational method. Analysis of Shear Lag Effect in Box Beam by Finite Beam Section Method. The calculated results are compared with the finite element model. The maximum error of the existing model test results is between 5.95% and 9.74%. The relative error between the calculated results and the finite element results is between 0.07% and 19.18% All agree well, which shows that it is feasible to apply the principle of shear lag effect deformation and superposition based on the finite beam segment method to solve the shear lag effect in complex force state. The results of the research on the precision selection of the lateral distribution function of the shear lag warpage displacement show that when the uniform load acts on the top of the web and the center of the roof, the horizontal and lateral distribution functions of the warp displacement should be chosen as the third and the second parabola respectively.