基于UL法的曲线箱梁剪力滞的几何非线性方程

Geometrically nonlinear equation of curved box beam considering shear lag based on updated lagrangian formulation

基于UL列式法导出了薄壁曲线箱梁考虑剪力滞的几何非线性方程。构造了薄壁曲线箱梁的剪力滞翘曲位移函数,给出了箱梁的位移参数和空间位移场。运用UL列式法建立了增量平衡方程,导出了弹塑性刚度矩阵和几何刚度矩阵。并对薄壁曲线箱梁剪力滞的几何非线性研究提供了一种新方法。

Geometrically nonlinear equation of thin-walled curved box beam considering shear lag based on an updated lagrangian formulation was deduced in this paper. The shear lag and warping distortion＇s displacement functions of thin-walled curved box beam are constructed, and the displacement parameters and space displacement field of box beam are given. By using the updated lagrangian formulation, we set up the incremental equilibrium equation, and the elastic-plastic stiffness matrix and geometric stiffness matrix are deduced. This paper offered a new method to the research on geometrically nonlinearity of thin-walled curved box beam considering shear lag.