On the dynamics of the two-for-one twister
- 9 August 1993
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
- Vol. 442 (1915) , 409-425
- https://doi.org/10.1098/rspa.1993.0111
Abstract
The mathematical model of the two-for-one twister described in this paper extends the previous work of V. K. Kothari and G. A. V. Leaf. A more realistic analysis of the action of the storage cylinder and over-run plate is made, and the effect of the balloon-control cylinder is modelled. Attention is focused on the role played by the ballooning yarn in regulating the tension and producing a constant tension level at the guide eye under steady operating conditions.The model is used to simulate the operation of the two-for-one twister, with and without the balloon-control cylinder. The essential nonlinear nature of the free balloon problem is demonstrated through the bifurcation diagram, which shows guide-eye tension against storage-cylinder radius used as the bifurcation parameter.Keywords
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