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研究了一种复杂多边形蜂窝结构的等效弯曲刚度。将蜂窝结构简化为正交异性薄板,首先计算薄板在均布弯矩载荷下的变形能,同时利用载荷平衡条件计算蜂窝各胞壁变形能之和,然后利用能量等效原理得到蜂窝结构等效弯曲刚度的解析表达式。蜂窝结构等效弯曲刚度随胞壁夹角及长度的变化非常明显,两正交方向的耦合弯曲刚度会随着胞壁夹角及长度的变化出现反转,等效弯曲刚度的绝对值会随着胞壁高度及厚度的增大而增大。最后利用有限元分析结果反推了蜂窝结构的等效弯曲刚度,验证了理论分析方法的正确性。
The equivalent bending stiffness of a complex polygonal honeycomb structure is studied. The honeycomb structure is simplified as an orthotropic thin plate. Firstly, the deformation energy of the thin plate under uniform bending moment load is calculated. At the same time, the sum of the deformation energy of the honeycomb walls is calculated by using the load balance condition. Then the equivalent energy structure of the honeycomb structure is obtained Analytical Expressions of Bending Stiffness. The equivalent bending stiffness of honeycomb structure changes obviously with the angle and length of the cell wall. The coupling bending stiffness in two orthogonal directions will reverse with the change of the included angle and length of the cell wall. The absolute value of the equivalent bending stiffness will vary with With increasing cell wall height and thickness increases. At last, the equivalent bending stiffness of the honeycomb structure is deduced by finite element analysis, which verifies the correctness of the theoretical analysis method.