考虑次剪应力的薄壁杆件扭转刚度矩阵和它的有限元分析

The torsional stiffness matrix of a thin-walled bedm considering secondary shear stress and it's finite element analysis

本文推导了薄壁杆件在翘曲位移假设下的扭转刚度矩阵,同时给出了拉(压)、弯曲和扭转下薄壁梁单元刚度矩阵。对不同截面薄壁梁单元的联接进行了研究,并用最小二乘法处理联接处的位移协调,最后给出了计算结果。

Tht torsional stiffness matrix of a thin-walled beam element based on the warping displacement assumption. is derived in this paper. The general stiffness matrix of the element when the beam is under tension (or compression),bending and torsion simultaneously is given. The combination of two elements with different cross-sections is studied and the compatibiliy of displacements for them is satisfied in the sense of least aquare technique. The numerial results are presented at the end.