矩形箱梁约束扭转理论的分析与比较

ANALYSIS AND COMPARISION OF RESTRAINED TORSION THEORIES FOR RECTANGULAR BOX SHAPED BEAM

本文对以下几种约束扭转理论的关系和差别进行了分析，这就是适用于刚性扭转的乌曼斯基理论和Ｒｅｉｓｎｅｒ理论，适用于畸变载荷的畸变计算理论以及两种情况都适用的广义坐标法。以折板壳有限元计算结果为依据，以悬臂箱形梁为例子，比较了这些理论的精度，计算结果表明，乌曼斯基理论精度最差，广义坐标法精度最高，但计算费时。采用作者提出的修正乌曼斯基理论，计算简单而精度得到很大改进。

The relations and differences between some restrained torsion theories are analyzed in this paper. The discussed theories which are suitable for rigid torsion include Wumansji theory and Reissner theory , the distortion calculation theory which is suitable to distortion load and the seneralized sense coordinate method suitable to both situations. The accuracy of these theories are compared taking cantilever box beam as an example according to the calculation result of finite fold plate shell element method. The results indicate that the accuracy of Wumansji theory is the lowest and the seneralized sense coordinate method gives the best result but needs more time in calculation. The modified Wumansji theory presented by the author can obviously improve the accuracy with simpler calculation.