Coiling of flexible ropes
Authors:
- 31 December 1996
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 452 (1950) , 1679-1694
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 problem for a linearly elastic rope. The stiffness and velocity of the rope, 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. Tables and graphs of the results are presented.Keywords
This publication has 5 references indexed in Scilit:
- Elasticity1995
- Buckling of thin liquid jetsJournal of Fluid Mechanics, 1993
- Folding of Viscous Plumes Impinging On A Density Or Viscosity InterfaceGeophysical Journal International, 1988
- The Drawing and Whirling of Strings: Singular Global Multiparameter Bifurcation ProblemsSIAM Journal on Mathematical Analysis, 1987
- Instability of jets, threads, and sheets of viscous fluid1969