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 give the device a large initial spin rate for its successful operation. [S0021-8936(00)02602-7]
On the Dynamics of the Dynabee
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 1, 1999; final revision, Oct. 25, 1999. Associate Technical Editor: N. C. Perkins. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Gulick, D. W., and O’Reilly, O. M. (October 25, 1999). "On the Dynamics of the Dynabee ." ASME. J. Appl. Mech. June 2000; 67(2): 321–325. https://doi.org/10.1115/1.1304914
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