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在用能量变分法求解薄壁箱梁的剪力滞问题时,不同于以往假设箱梁的上顶板、悬臂板和下底板具有相同的纵向位移转角差函数,采用了三个不同的纵向位移转角差函数来反映薄壁箱梁不同宽度翼板的剪滞变化幅度,通过变分原理建立了薄壁箱梁弯曲变形的控制微分方程,并获得相应的解析解。结果与采用相同位移差函数的解析解和ANSYS有限元计算进行比较分析,验证了本文方法更合理。
When using the energy variation method to solve the shear lag problem of the thin-walled box girder, different from the previous assumption that the upper and lower plates of the box girder have the same longitudinal displacement angle difference function, three different longitudinal displacements Angle difference function is used to reflect the shear lag variation of thin-walled box girder with different width. The governing differential equation of bending deformation of thin-walled box girder is established by variational principle, and the corresponding analytic solution is obtained. The results are compared with the analytical solution using the same displacement difference function and ANSYS finite element analysis, which proves the method is more reasonable.