A Comparison of Stationary and Non-stationary Mathematical Models for the Ring-spinning Process

Lisini, G. G.; Toni, P.; Quilghini, Demore; Campedelli, V. L. Di Giorgi

doi:10.1080/00405009208631230

Cited by 20 publications

(12 citation statements)

References 17 publications

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“…There are many theoretical models for the prediction of the balloon form and its associated yarn tension. 6–22 Crank described the balloon in a quasi-stationary case in cap spinning, considering the centrifugal, Coriolis, and gravitational forces. 6 Mack neglected the Coriolis forces in the equation of motion of yarn, and considered the air drag constant related to the Reynold’s number.…”

Section: Theoretical Modelmentioning

confidence: 99%

Mathematical modeling, simulation and validation of the dynamic yarn path in a superconducting magnet bearing (SMB) ring spinning system

Hossain

Telke

Sparing

et al. 2016

Textile Research Journal

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The new concept of a superconducting magnetic bearing (SMB) system can be implemented as a twisting element instead of the existing one in a ring spinning machine, thus overcoming one of its main frictional limitations. In the SMB, a permanent magnet (PM) ring rotates freely above the superconducting ring due to the levitation forces. The revolution of the PM ring imparts twists similarly to the traveler in the existing twisting system. In this paper, the forces acting on the dynamic yarn path resulting from this new technology are investigated and described with a mathematical model. The equation of yarn movement between the delivery rollers and the PM ring is integrated with the Runge-Kutta method using MATLAB. Thus, the developed model can estimate the yarn tension and balloon form according to different spindle speeds considering the dynamic behavior of the permanent magnet of the SMB system. To validate the model, the important relevant process parameters, such as the yarn tension, are measured at different regions of the yarn path, and the balloon forms are recorded during spinning with the SMB system using a high speed camera.Keywords mathematical modeling, yarn tension, balloon form, ring spinning, superconducting magnetic bearingIn the existing ring spinning process, the frictional heat generated in the ring/traveler system causes damage to both the twisting element and the yarn structure. 1 The traveler is not allowed to rotate at more than 50 m/s, especially in the case of man-made fibers, due to their melting, caused by the high friction-induced heating, which limits productivity. 2,3 The friction-free superconducting magnet bearing (SMB) eliminates this restriction and thus allows increase of the spindle speed much higher than with existing spinning machines. In our previous work, different concepts of SMB system have been presented, and a suitable one has been successfully integrated in a ring spinning tester. 4 The SMB system comprises of two rings, a magnetic element of Neodymium Iron Boron (NdFeB) with a yarn guide attached to it, and a high temperature superconductor (SC) from YBCO (YBa 2 Cu 3 O 7-x ) chemical compounds. The superconductor (SC) ring is cooled down below its critical temperature at a fixed distance from the PM ring. The PM ring levitates above the SC ring according to the principle of levitation. During the spinning process, the yarn (wound onto the bobbin) rotates the PM ring, instead of the traveler. The patented concept of the SMB system ensures a smooth running of the spinning process for significantly higher productivity with similar yarn properties to the conventional process. 5

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Section: Theoretical Modelmentioning

confidence: 99%

Mathematical modeling, simulation and validation of the dynamic yarn path in a superconducting magnet bearing (SMB) ring spinning system

Hossain

Telke

Sparing

et al. 2016

Textile Research Journal

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“…Lisini 20 proposed a non-stationary mathematical model of the ring spinning process. Fraser 21,22 investigated the characteristics of air drag, such as the effects of air drag magnitude on balloon shape, tension and the bifurcation behaviours of the solution.…”

Section: Theoretical Models Of Ring Spinningmentioning

confidence: 99%

Process control in ring and rotor spinning

Majumdar

2013

Process Control in Textile Manufacturing

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“…Well-known results from the ring spinning/twisting show that the yarn tension in the balloon and the reaction forces are proportional to the square of the traveller speed [2], [9], [10]. The values calculated using equation (17) are corresponding to this thesis.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…2 and 3, respectively. The equation of the traveller motion for the seating with one reaction force has been published, for example, in the works [1], [2], and [6]. This paper focuses on vertical ring with the seating with two reaction forces.…”

Section: Equation Of the Traveller Motionmentioning

confidence: 99%

“…Depending on the character of the seating, determined by the shapes of the ring and the traveller, as a rule, it is a case of seating with one or two reaction forces. The driving force of the traveller is the yarn tension, generated as a result of the balance of forces acting on the traveller during the winding process of the yarn [1], [2]. The ballooning of yarn, which is an accompanying phenomenon of the winding process, exerts a considerable influence on the reaction forces in the ring-traveller system.…”

Section: Introductionmentioning

confidence: 99%

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Approach To Analyse Of Reaction Forces In Ring–Traveller System

Beran

Konečna

2017

Autex Research Journal

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The paper presents the approach to analyse of reaction forces and contact pressure for ring-traveller system in twisting machine. The theory of the ballooning yarn has been adapted for the calculation of reactions, and the motion equation is developed for traveller with two reaction forces. The components of normal reaction forces are analyzed for system with free balloon and control one. The effect of the balloon control ring is shown to be significant, reducing the reaction forces of traveller or increasing the speed of spindle. Contact pressure generated between the ring and the traveller is analyzed using Hertzian contact theory. The article also presents the recommendations for optimization of the traveller shape to increase its service life.

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A Comparison of Stationary and Non-stationary Mathematical Models for the Ring-spinning Process

Cited by 20 publications

References 17 publications

Mathematical modeling, simulation and validation of the dynamic yarn path in a superconducting magnet bearing (SMB) ring spinning system

Mathematical modeling, simulation and validation of the dynamic yarn path in a superconducting magnet bearing (SMB) ring spinning system

Process control in ring and rotor spinning

Approach To Analyse Of Reaction Forces In Ring–Traveller System

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