Rotating structures and Bryan’s effect

In 1890 Bryan observed that when a vibrating structure is rotated the vibrating pattern rotates at a rate proportional to the rate of rotation. During investigations of the effect in various solid and fluid-filled objects of various shapes, an interesting commonality was found in connection with the...

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Bibliographic Details
Published in:American journal of physics 2009-06, Vol.77 (6), p.520-525
Main Authors: Joubert, Stephan V., Shatalov, Michael Y., Fay, Temple H.
Format: Article
Language:English
Subjects:
College students
Mathematics
Vibration
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Summary:In 1890 Bryan observed that when a vibrating structure is rotated the vibrating pattern rotates at a rate proportional to the rate of rotation. During investigations of the effect in various solid and fluid-filled objects of various shapes, an interesting commonality was found in connection with the gyroscopic effects of the rotating object. The effect has also been discussed in connection with a rotating fluid-filled wineglass. A linear theory is developed, assuming that the rotation rate is constant and much smaller than the lowest eigenfrequency of the vibrating system. The associated physics and mathematics are easy enough for undergraduate students to understand.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.3088877