曲线箱桥考虑剪力滞和畸变的弹性控制微分方程及其解法

THE ELASTIC GOVERNING DIFFERENTIAL EQUATIONS OF THE CURVED BOX GIRDER BRIDGE IN CONSIDERATION OF SHEAR LAG AND DISTORTION WITH SOLUTIONS

为了简化截面周边可变形的铁路曲线箱桥静力分析计算,本文考虑了剪力滞和畸变以及腹板不同初曲率对曲线箱梁弯曲应力的影响,利用最小势能愿理推得控制微分方程,易用数值方法求解。伽辽金法计算和实验验证表明,该方法简便实用,又具有良好的精度。

This paper offers a Practical algorithm for railway thinwalled curved box girder bridges with deformable cross sections. Consideration is given to the influence of the shear lag and distortional warping on the curved box girder and the influence of the different initial curvatures of webs on Vertical bending. The principle of minimum potential energy is used to derive the elastic governing differential equations,which can be easily calculated by numerical methods. Finally the calculation results originated from Galerkin's method are compared with those from model tests and the folded plates theory, which shows the convenience and accuracy of the method given in this paper.