COILING OF FLEXIBLE ROPES

Citation
L. Mahadevan et Jb. Keller, COILING OF FLEXIBLE ROPES, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1950), 1996, pp. 1679-1694
Citations number
8
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
13645021
Volume
452
Issue
1950
Year of publication
1996
Pages
1679 - 1694
Database
ISI
SICI code
1364-5021(1996)452:1950<1679:COFR>2.0.ZU;2-5
Abstract
A thin flexible inextensible rope fed continuously from a fixed height and falling on a horizontal plane usually forms a circular coil. This phenomenon is analysed as a geometrically nonlinear free-boundary pro blem for a linearly elastic rope. The stiffness and velocity of the ro pe, the height from which it is fed and gravity are taken into account . The problem is solved by using a numerical continuation scheme. The coil radius is determined as a function of the various parameters. Tab les and graphs of the results are presented.