Yarn twist in the ring-spinning balloon

Fraser, W. B.; Stump, D. M.

doi:10.1098/rspa.1998.0182

Cited by 26 publications

(22 citation statements)

References 26 publications

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“…As discussed above, in this paper the yarn is modelled as an elastic rod of uniform circular cross-section of radius r and mass per unit length m. The implications of these assumptions for modelling textile-yarn dynamics have been discussed in detail in [7]. The torque/torsion, and bending-moment/curvature constitutive equations are assumed to be linear.…”

Section: The Mathematical Formulationmentioning

confidence: 99%

“…Thus, between A and O the yarn is subject to a high constant torque, and between O and B the torque is negligible and will be assumed zero in this analysis [6]. As in [7] we will ignore the length of the spinning triangle and take the origin of our coordinate system at the inlet roller nip A. The analysis presented here is confined to the uptwist region between A and O where torque is high and snarling instabilities are likely to occur.…”

Section: Introductionmentioning

confidence: 97%

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On the theory of localised snarling instabilities in false-twist yarn processes

Fraser

Heijden

2007

J Eng Math

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A theory for the twist-induced localised snarling instability observed in whirling and transported yarn in textile manufacturing processes such as false-twisting is developed. The buckling of the yarn can occur in two modes. At a critical level of the tension the straight yarn path bifurcates to a whirling ballooning mode. The localised snarling bifurcation can be triggered either from the straight line path prior to whirling or from the post-whirling configuration depending on the transport speed of the yarn through the system. The yarn is modelled as a pretensioned elastic rod. A perturbation analysis is carried out in which the small parameter measures bending relative to dynamical forces. The whirling bifurcation is captured with a regular perturbation analysis and the snarling bifurcation is captured with an internal bending layer in a singular perturbation analysis. This localised snarling is a subcritical bifurcation that occurs at a critical combination of yarn torque and tension. Critical conditions, as well as the position along the yarn where the snarling instability occurs, are obtained by matching the internal layer to the outer solutions. To accomplish this matching yarn axial elasticity is essential.

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Section: The Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

On the theory of localised snarling instabilities in false-twist yarn processes

Fraser

Heijden

2007

J Eng Math

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“…Miao and Chen [13] proposed a method of which the governing equation of twist distribution of a straight yarn is a wave equation. Fraser and Stump [14] further carried out the research on the twist of yarn in a ring spinning balloon. They presented a new derivation of the wave equation and theoretically proved that the twist distribution is independent of the yarn path in a balloon.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and numerical simulation of yarn behavior in a modified ring spinning system

Tang

Tao

et al. 2011

Applied Mathematical Modelling

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a b s t r a c tIn the paper, yarn dynamical behavior and twist distribution in a modified ring spinning system are investigated. Equations of motion and twist wave propagation are used to obtain the numerical solutions of yarn path, yarn tension and twist distribution in steady state. It is observed that yarn path in the twisting zone has several classic modes corresponding to the yarn tension, and all of the yarn paths are approximately planar curves rather than spatial curves. The angular velocities of yarn at the twisting device are given as well as the twist of yarn in the modified ring spinning system. Experiments are conducted to evaluate the yarn paths and twist distributions under consideration. The theoretical and experimental results have a good agreement.

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“…Moreover, spinning tension affects the structure and properties of the spun yarns [1]. Therefore, researchers have tried to predict the yarn tension and the profiles of the balloon in the ring spinning [1][2][3][4][5][6][7][8][9][10][11][12]. From the 1950s onwards, various mathematical models have been presented to model different aspects of the yarn balloon such as configuration and tension.…”

Section: Introductionmentioning

confidence: 99%

Finite-element and multivariate analyses of tension distribution and spinning parameter effects on a ring-spinning balloon

Mehrabad

Johari

Aghdam

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study aims to investigate the effects of spinning parameters on the balloon tension and configuration. A novel experimental set-up was designed to measure the yarn tension at the pigtail. Experimental results were then used to implement boundary conditions in a multivariate analysis. Also, a finite-element (FE) code was used to predict the yarn balloon profile and stresses induced in the yarn. In particular, Coriolis acceleration and twist effects are considered on the model. It was observed that the equations governing the yarn path and the movement equation of twist in the yarn were completely dependent on each other. FE analysis revealed that while the Coriolis acceleration increases the tension in the yarn, it has little influence on the balloon configuration. Results of this study can be used to obtain optimized production parameters to increase the yarn quality and productivity.

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Yarn twist in the ring-spinning balloon

Cited by 26 publications

References 26 publications

On the theory of localised snarling instabilities in false-twist yarn processes

On the theory of localised snarling instabilities in false-twist yarn processes

Mathematical modeling and numerical simulation of yarn behavior in a modified ring spinning system

Finite-element and multivariate analyses of tension distribution and spinning parameter effects on a ring-spinning balloon

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