蜂窝填充薄壁盒式梁的约束扭转

在刚性剖面假设的基础上分析具有蜂窝芯材薄壁盒式梁约束扭转问题。应用分离变量法，建立并求解了两个常微分支配方程。边界条件可以精确满足，同时，解答是用本征函数展开式表达的。扭矩图是由三角级数表示的，并用于决定上述本征函数展开式的待定系数。计算结果给出了蒙皮正应力与剪应力以及蜂窝芯材剪应力沿翼弦和翼展的分布规律。

Restrained Torsion of Thin-walled Box Beam with Honeycomb Core

Restrained torsion of thin-walled box beam with honeycomb core is analyzed on the basis of rigid profile assumption. The method of variable separation is applied and two ordinary differential governing equations are established and solved. The boundary conditions are satisfied rigorously and the solutions are expressed by means of eigen function expansions. The diagram of torque is formulated by trigonometric series and used to determine the coefficients in above expansions. The results of computation provide the chord-wise and span-wise distributions of normal and shear stress in the face plate along with shear stress in the honeycomb core.