筒中筒结构弯扭耦联简化分析

本文在1],2]的基础上,讨论了筒中筒结构的弯扭耦联问题,得到了结构弯扭耦联的闭合解,并给出三种典型荷载下的位移、内力计算公式。文中提出的求解内外筒之间相互作用力的方法,避免了复杂的解耦困难,有广泛的适用性,无论对于较精确的空间有限元算法、有限条算法或其他简化计算,只要符合楼板平面内刚度无穷大,出平面刚度忽略不计的基本假定,都是有效的。只要求出各自的柔度矩阵,按本法求得内外筒间的相互作用力之后,即可利用现有程序对内外筒分别进行计算。

Simplified Analysis of Tube-In-Tube Structures Subjected to Combination of Bending and Torsion

In this paper, based on Ref. 1] and 2], a simplified method for analyzing tube-in-tube structures subjected to combination of bending and torsion has been presented. A closed solution of the structures has been obtained and the calculating formulae of stresses and displacements for three classical loads have been given. The present method of evaluating interacting forces between outer and inner tubes by force method avoids difficulties of resolving the coupling of bending and torsion, it can be widely applicable in finite element method, finit strip method and other simplified method. As far as knowing the flexibilities of inner and outer tubes and evaluating the interacting forces, we can calculate the stresses and displacements of both inner and outer tubes respectively.