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A non-linear eigenvalue problem associated with inextensible whirling strings

delete2001-02-01
delete23
PRE
AI
J
J. Coomer *
M
Mark D. Lazarus
R
R.W. Tucker
D
D. Kershaw
A
A. TEGMAN
DOI：10.1006/jsvi.2000.3190delete
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Abstract

Abstract

En 中文
The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop configurations, free of body Forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems. The spectrum is compared with that for small amplitude excitations in both fixed and rotating vertical plane through the suspension point. The results provide a useful theoretical background for an analysis of a laboratory exploration of whirling chains. (C) 2001 Academic Press.

Journal

Journal of Sound and Vibration cover
Journal of Sound and Vibration
IF:
4.9
Papers:
1.7W
Citations:
4.8W

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