Balloon Collapse in Ring-Spinning

Turteltaub, M. J.; Béjar, M.A.

doi:10.1115/1.3438965

Cited by 6 publications

(3 citation statements)

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“…The stability of balloons in ring spinning processes has been the subject of two previous papers. The simplifying assumptions made by Turteltaub & Bejar (1976) to obtain their results are such as to render their work inapplicable to the unwinding problem. In particular they neglect the air drag and assume th a t the tension along the thread line is constant.…”

Section: Numerical Resultsmentioning

confidence: 99%

On unwinding yarn from a cylindrical package

Fraser

Ghosh

Batra

1992

Proc. R. Soc. Lond. A

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The over-end unwinding of yarn from a stationary helically wound cylindrical package is considered. The motion of the yarn between the unwind point (where it first starts to slip across the package surface before flying into the unwinding balloon) and the guide eye located on the package axis is analysed. The motion is periodic as the unwind point moves backwards and forwards along the length of the package surface. In 1958 D. G. Padfield argued that, provided the helix angle is small, the time derivative terms in the equations of motion can be neglected and the problem can be reduced to a stationary (relative to rotating axes) balloon problem subject to a modified boundary condition at the unwind point. The problem of yarn slipping across the package surface has also been investigated by D. G. Padfield and by H. V. Booth. In the present paper a regular perturbation expansion is used to provide a theoretical framework for Padfield’s ideas and to remove the time dependence from the zero order equations of motion. To this order of approximation the time dependence appears in the ‘moving’ boundary condition at the unwind point. A new derivation of this boundary condition is given and a set of continuity conditions between the yarn slipping on the package and the yarn in the balloon is used to splice the two solutions together so that the package can be unwound through a complete period of the unwinding cycle.

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Section: Numerical Resultsmentioning

confidence: 99%

On unwinding yarn from a cylindrical package

Fraser

Ghosh

Batra

1992

Proc. R. Soc. Lond. A

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“…The dynamics of yarn spinning have been detailed in many studies (Hannah, 1952, 1955, Mack, 1953Turteltaub and Bejar, 1976;Fraser, 1993;Batra et al 1989a, b). The details of the engineering approach used in this work are given as follows.…”

Section: Mathematical Formulation Of Ring Spinningmentioning

confidence: 99%

“…The yarn balloon is generated by the rotation of the yarn loop from the guide eye and the traveller around a fixed axis of bobbin (Figure 1 and 5) and the dynamics of the whirling yarn has been studied extensively: Mack (1953) and Fraser (1993) studied theoretically the spinning balloon curve; Turteltaub and Bejar (1976) focussed on the stability of the yarn balloon; Batra et al (1989a,b) gave the stationary numerical solutions of yarn balloon with and without air drag forces using a non-dimensional formulation. Fraser and his co-workers (Clark et al, 1998;Stump and Fraser, 1996) considered the dynamic response and the transient solutions of the spinning yarn balloon.…”

Section: Introductionmentioning

confidence: 99%

Stationary solution of the ring-spinning balloon in zero air drag using a RBFN based mesh-free method

Tran

Phillips

Fraser

2010

Journal of the Textile Institute

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Abstract:A technique for numerical analysis of the dynamics of the ring-spinning balloon based on the Radial Basis Function Networks (RBFNs) is presented in this paper. This method uses a "universal approximator" based on neural network methodology to solve the differential governing equations which are derived from the conditions of the dynamic equilibrium of the yarn to determine the shape of balloon yarn. The method needs only a coarse finite collocation points without any finite element-type discretisation of the domain and its boundary for numerical solution of the governing differential equations. This paper will report a first assessment of the validity and efficiency of the present mesh-less method in predicting the balloon shape across a wide range of spinning conditions.

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