Effects of coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation

doi:10.1016/0022-460X(87)90471-8

Journal of Sound and Vibration

Volume 115, Issue 2, 8 June 1987, Pages 253-274

https://doi.org/10.1016/0022-460X(87)90471-8 Get rights and content

Abstract

The vibration of rotating rings is investigated. The equations of motion that cover both transverse and tangential motion are derived from Hamilton's principle. The natural frequencies and modes are then obtained without using the inextensional assumption and an attempt is made to interpret the time dependent natural modes from various viewpoints. The effect of rotation and elastic foundation on system characteristics is examined. Most important, a general solution for forced vibration is formulated and demonstrated by an example. The effect of the Coriolis acceleration component on the forced response is illustrated by comparing the results for a travelling force on a stationary ring with results for a rotating ring subjected to a stationary force.

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Effects of coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation

Abstract

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

International Journal of Solids and Structures

On the beats in the vibrations of a revolving cylinder or bell

On the vibrations of the rotating ring

Quarterly of Applied Mathematics