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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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.
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Language:English
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College students
Mathematics
Vibration
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description 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.
doi_str_mv 10.1119/1.3088877
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source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects College students
Mathematics
Vibration
title Rotating structures and Bryan’s effect
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