筒中筒结构弯扭耦联简化分析

Simplified Analysis of Tube-in-Tube Structure Subjected to Coupled Bending and Torsion

本文在文献[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问题的闭合解,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简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法、有限条法或其他简化计算,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,按本法求得内外筒之间的相互作用力后,即可利用现有程序对内外筒分别进行计算。

In this paper, based on Ref. [1] and [2], a simplified method for analyzing tube-in-tube structure subjected to coupled bending and torsion has been presented. A closed form solution of the structure has been obtained with calculating formulae of stresses and displacements for three typical loading conditions developed. The present approach of evaluating interacting forces between outer and inner tubes by force method avoids the difficulties of solving the coupling of bending and torsion. It can be widely applied by using the finite element method or the finite strip method or other simplified methods. As far as the flexibilities of inner and outer tubes are known and the interacting forces have been evaluated, the stresses and displacements of both inner and outer tubes can be calculated by computer programs in current use.