The effect of yarn elasticity on the stability of the two-for-one twister balloon

The two-for-one twister balloon is a yarn-twisting device widely used in the textile yarn manufacturing industry. Previous papers have investigated a mathematical dynamical model for the stability of the motion of an inextensible yarn in this machine. In this paper, we investigate the effect of yarn elasticity on this model. The unfolding of the inextensible yarn bifurcation curves as the elasticity of the yarn is increased exhibits some interesting behaviours. © 2011 The Textile Institute