论文标题
产生稳态连锁喷泉
Generating Steady-State Chain Fountains
论文作者
论文摘要
近年来，该连锁喷泉以其违反直觉的迷人身体行为而变得突出。最广为人知的是一个实验，其中一条长链将高架烧杯像喷泉一样，在重力影响下掉落在地面上。观察到的链条喷泉在几个出版物中由倒置的catenary精确描述和预测。基本的假设是一个固定的喷泉，以及边界条件，地面和烧杯反应力的知识。与确定稳态链喷泉形状相反，事实证明，主要难度在于预测反作用力。目前尚无一致且完整的物理解释模型。为了为反作用力提供合理的解释，在这项工作中提出了一种说明性的机械系统，以产生稳态链喷泉。该模型允许通过调整滑轮布置来生成所有物理可能的链条喷泉。简化的融合使本科生可以访问该现象。
In recent years the chain fountain became prominent for its counter-intuitive fascinating physical behavior. Most widely known is the experiment in which a long chain leaves an elevated beaker like a fountain and falls to the ground under the influence of gravity. The observed chain fountain was precisely described and predicted by an inverted catenary in several publications. The underlying assumptions are a stationary fountain and the knowledge of the boundary conditions, the ground and beaker reaction forces. In contrast to determining the steady-state chain fountain shape, it turns out that the main difficulty lies in predicting the reaction forces. A consistent and complete physical explanation model is currently not available. In order to give a reasonable explanation for the reaction forces an illustrative mechanical system for generating steady-state chain fountain is proposed in this work. The model allows to generate all physical possible chain fountains by adjusting a pulley arrangement. The simplifications incorporated make the phenomenon accessible to undergraduate students.
