Bending Stability of Corrugated Tubes With Anisotropic Frustum Shells
Bending Stability of Corrugated Tubes With Anisotropic Frustum Shells
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各向异性平截头壳波纹管的弯曲稳定性
DOI：
10.1115/1.4053267
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Filipov, Evgueni T.
中科院分区：
文献类型：
--
作者：
Wo, Zhongyuan;Filipov, Evgueni T.
具有弯曲多稳定性的薄壁波纹管，如可弯曲的吸管，允许在管子长度上有不同的取向。与波纹管在实际应用中的漫长历史相比，波纹管弯曲稳定性的机理以及截面和其他几何参数对其的影响尚不清楚。为了探索几何驱动的弯曲稳定性，我们使用了几种工具，包括降阶模拟程序包、简化的连杆模型和物理原型。研究发现，圆形双单元波纹管的弯曲稳定性依赖于纵向几何形状和连接不同墩台的折线的刚度。需要更薄的壳体、更陡峭的圆锥体和更弱的折痕来实现弯曲双稳定。然后我们探讨了弯曲稳定性是如何随着横截面变得拉长或凹陷而变形的。研究发现，深截面和凸截面有利于弯曲双稳，而凹陷较大的较宽截面则保持单稳定。不同的几何形状影响与弯曲管子相关的拉伸和弯曲能量的量。拉伸能具有双稳态轮廓，可以允许稳定的弯曲构型，但它被单调增加的弯曲能所抵消。这项工作的发现可以使波纹管系统的设计具有所需的弯曲稳定性。
Thin-walled corrugated tubes that have a bending multistability, such as the bendy straw, allow for variable orientations over the tube length. Compared to the long history of corrugated tubes in practical applications, the mechanics of the bending stability and how it is affected by the cross sections and other geometric parameters remain unknown. To explore the geometry-driven bending stabilities, we used several tools, including a reduced-order simulation package, a simplified linkage model, and physical prototypes. We found the bending stability of a circular two-unit corrugated tube is dependent on the longitudinal geometry and the stiffness of the crease lines that connect separate frusta. Thinner shells, steeper cones, and weaker creases are required to achieve bending bi-stability. We then explored how the bending stability changes as the cross section becomes elongated or distorted with concavity. We found the bending bi-stability is favored by deep and convex cross sections, while wider cross sections with a large concavity remain mono-stable. The different geometries influence the amounts of stretching and bending energy associated with bending the tube. The stretching energy has a bi-stable profile and can allow for a stable bent configuration, but it is counteracted by the bending energy which increases monotonically. The findings from this work can enable informed design of corrugated tube systems with desired bending stability behavior.