✦ LIBER ✦

A NON-LINEAR EIGENVALUE PROBLEM ASSOCIATED WITH INEXTENSIBLE WHIRLING STRINGS

✍ Scribed by J. COOMER; M. LAZARUS; R.W. TUCKER; D. KERSHAW; A. TEGMAN

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 288 KB
Volume: 239
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3190

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✦ Synopsis

The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop con"gurations, 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 "xed 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.

2001 Academic Press

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