在考虑箱梁翼缘正应力的剪滞效应和结构竖向挠度的几何非线性影响前提下,依据势能变分原理,推导了薄壁曲线箱梁的非线性控制微分方程,并采用样条配点法和Newton-Raphon迭代法进行求解。算例计算表明,本文结果与有限条的解吻合较好,但本文的方法更经济、简单、实用,可推广于变截面、变曲率薄壁曲线箱梁的计算。
By mean of potential various theories, considering the shear lag effect of flange's stress and the geometry nonlinear of vertical displacement, this paper gives nonlinear governing differential equation and solves the equation with spline function allotting point method and iterative method. The example shows that the results of this paper are correspond to those of finite strip. The method in this paper is more economical, simple, and practical and can be used to compute the thin-walled box girders with various section and curvature.