用半埋杆提升颗粒箱

Ting-Heng Hsieh, Tzay-Ming Hong
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引用次数: 0

摘要

我们研究了一个有趣的实验,实验显示,半埋的筷子可以将满满一瓶颗粒从桌子上提起。根据杨森理论,容器壁提供的摩擦力有助于减轻颗粒的重量。那么,接触面积更小的细棒如何支撑全部重量和容器的重量呢?在求解杨森方程之前,让容器壁上的摩擦力改变方向,就能获得更多启示。我们得到了颗粒临界深度的解析表达式,该临界深度可确保成功升空。此外,我们还通过分析拉力的波动频率,确定了粘滞和滑动现象存在于失败的升空过程中。最后,我们利用光弹性实验直接观察了对拉力敏感的应力场,并验证了来自壁面的摩擦力的方向变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lifting a granular box by a half-buried rod
We studied an interesting experiment that showed a half-buried chopstick lifting a full bottle of granules off the table. In Janssen theory, the friction force provided by the container wall helps alleviate the weight of the granules. How can a thin rod with a much less contact area support the full weight plus that of the container? Insights are gained by allowing the friction on the wall to change direction before solving the Janssen equation. We obtained the analytic expression for the critical depth of granules that enables a successful lift off. In addition, we established that the stick and slip phenomenon exists during a failed lift off by analyzing the frequency of fluctuations in the pull force. Finally, a photoelasticity experiment was employed to directly visualize the stress field sensitive to the pull force, and verify the directional change of friction force from the wall.
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