考虑二阶变形的X形拱系统空间弯扭屈曲分析

本文就蝶形屋盖结构及一般桥跨结构中主拱最优开度值为1.5～2.6的变肋距X形拱且为任意局部缀梁、有侧力时拱系的空间二阶弹性弯-扭屈曲问题藉助最小势能原理得出了一般解.并附有工程实例。又因解的收敛性强、外延好,能闭合于Euler公式,因而在结构稳定理论领域也有重要意义。

Analysis of Spatial Buckling, Bending and Torsion in X-Shaped Arch System in Consideration of Second Order Deformation

In this paper, the general solution of spatial buckling, bending and torsion in X-shaped arch roof structures is presented with the aid of the least potential energy principle and in consideration of second order deformation. In such structure, the horizontal distances between arches are varying and the optimized ratio of the horizontal distances at the toes of the arches to the distance at arch crowns has been found to be equal to 1.5-2.6.The arches are subjected to lateral forces and have arbitrary local horizontal struts between them. Numerical example is also given in the paper. As the solution by the principle of minimum potential energy is good in con vergency, it can be closed up to the Euler formula. Thus, it is also of some significance in the field of structural stability theory.