Summation rules in critical self-buckling states of cylinders
Summation rules in critical self-buckling states of cylinders
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DOI：
10.1016/j.mechrescom.2022.103905
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发表时间：
2022-05-24
影响因子：
2.4
通讯作者：
Sato, Motohiro
中科院分区：
文献类型：
--
作者：
Kanahama, Tohya;Sato, Motohiro
本研究旨在推导出一个适用于空心和实心圆柱体的临界高度公式，以阐明空心截面对自屈曲特性的影响。用于我们计算的模型采用具有任意半径空腔的圆柱形悬臂。由力的平衡得到控制方程。通过对控制方程通解应用适当的边界条件得到的特征值问题，推导出临界高度公式。在此基础上，推导出空心圆柱体的自重屈曲特性可以表示为两个实心圆柱体的自重屈曲特性之和，从而更容易推导出空心圆柱体的自重屈曲特性。本研究结果在复杂屈曲问题的简化和中空植物的形状量化等方面具有广泛的应用价值。
This study aimed to derive a critical height formula that would be uniformly applicable to hollow and solid cylinders, to clarify the effects of hollow cross-sections on self-buckling characteristics. The models used for our calculations took the cylindrical cantilevers with cavities of arbitrary radius. The governing equation was obtained from the equilibrium of forces. The eigenvalue problem obtained by applying appropriate boundary conditions to the general solution of the governing equation led to the derivation of a critical height formula. Furthermore, based on the derived theoretical formula, we found that the self-weight buckling properties of a hollow cylinder could be represented as a summation of the self-weight buckling properties of two solid cylinders, which can be derived more easily. The findings of this study have a wide range of applications, such as the simplification of complex buckling problems and the shape quantification of hollow plants.