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Stability of circulatory elastic systems in the presence of magnetic damping.The effect of a type of magnetic damping on the stability of equilibrium of some circulatory elastic systems is examined. A simple system with two degrees of freedom is considered first, and a destabilization is found to be caused by the magnetic field. The nature of the destabilization, however, is not identical to that caused by internal viscous damping. The differences and similarities between the two effects are discussed, and the results are also compared with those of linear external viscous damping. A continuous cantilever bar subjected to a follower force at its free end is then examined. It is found that the critical load is independent of the strength of the magnetic field, and is considerably lower than the corresponding critical load in the absence of a magnetic field. Finally, the continuous cantilever is treated approximately by Galerkin's procedure and also by using a two-degree-of-freedom model of the cantilever; the results obtained are qualitatively the same.
Document ID
19720032395
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Smith, T. E.
Herrmann, G.
(Northwestern University Evanston, Ill., United States)
Date Acquired
August 6, 2013
Publication Date
January 1, 1971
Publication Information
Publication: Acta Mechanica
Volume: 12
Issue: 3-4,
Subject Category
Physics, General
Accession Number
72A16061
Funding Number(s)
CONTRACT_GRANT: NGR-14-007-011
CONTRACT_GRANT: NGR-14-007-067
Distribution Limits
Public
Copyright
Other

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