Research Article
Jan 1954
Radial Impact on an Elastically Supported Ring
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 119, Issue 1
Abstract
The study of free vibrations of a circular ring, as developed by A. E. H. Love and S. Timoshenko, has been extended for the case of a circular ring that has radial and tangential elastic support and that is subjected to a radial impulse in the plane of the ring. Equations are developed for the frequencies of rigid-body motion and flexural vibration, and infinite series solutions are obtained for displacements and bending moments produced by an impulsive load analytically defined as a half-sine wave. In the development of the theory, the vibrations are assumed to be inextensional, and damping effects, rotatory inertia, and shear are neglected.
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© 1954 American Society of Civil Engineers.
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Published in print: Jan 1954
Published online: Feb 10, 2021
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Edward Wenk Jr., JM.ASCE
Head, Structures Div., Structural Mech. Lab., David Taylor Model Basin, Washington, D. C.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.