根据薄壁曲线梁理论和势能变分原理,考虑箱梁翼缘正应力的剪滞效应和结构大挠度影响,导出了薄壁曲线箱梁的几何非线性控制微分方程,并采用样条最小二乘配点法进行求解,其结果与试验值和有限段解基本吻合。文中给出的公式和方法可供薄壁曲线箱梁设计参考。
By means of the potential variational principle and the theory of thin - walled box girders, considering the influence of the shear lag effect of flange's stress and the large deflection, the geometry nonlinear governing differential equation of thin - walled box girders is obtained. The equation is solved with the least two - multiplication allotting point method. The results are consistent with those of the test and the segment method. The proposed formulae and method could be referenced to the design for the thin -walled box girders.