On the dynamics of the Dynabee
On the dynamics of the Dynabee
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DOI：
10.1115/1.1304914
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发表时间：
2000-06-01
影响因子：
2.6
通讯作者：
O'Reilly, OM
中科院分区：
文献类型：
--
作者：
Gulick, DW;O'Reilly, OM
戴纳比是一种陀螺仪，市场上称其为腕部锻炼器。本文给出了该装置的动力学模型。通过一些额外的工作，我们发现动力学可用一个常微分方程式来描述。这个方程的解也提供了操作该装置所需的力矩。具体地说，我们发现这个力矩与转子自转速度的平方成正比。我们还说明了为什么必须给该装置一个大的初始自旋速度才能使其成功运行。
The Dynabee is a gyroscopic device that is marketed as a wrist exerciser. In this paper, a model for the dynamics of this device is presented. With some additional work, we find that the dynamics are governed by a single ordinary differential equation. The solution of this equation also provides the moment required to operate the device. Specifically, we find that this moment is proportional to the square of the rotor's spin rate. We also show why it is necessary to given the device a large initial spin rate for its successful operation.