In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results.
StalderH. Ring-spinning advance. Text Asia2000; 31: 43–46.
2.
Yin R, Liu Y and Gu HB. The effect of ring spinning process parameters: result from theoretical model. In: the second international conference on advanced textile materials & manufacturing technology, Hangzhou, 20-24 October 2010, pp.530-534. Zhejiang University press, China.
3.
Lüdicke A. Eine Studie über die ringspindle, Dinglers. Polutech J. 1881; 181: 242, 334.
4.
MackC. Theory of spinning balloon. Q J Mech Appl Math1958; 11: 196–207.
5.
De BarrAE. The role of air drag in spinning. J Text Inst1961; 52: 126–139.
6.
BatraSKGhoshTKZeidmanMI. Integrated approach to dynamic analysis of the ring spinning process. Part I: without air drag and coriolis acceleration. Text Res J1989; 59: 309–317.
7.
BatraSKGhoshTKZeidmanMI. Integrated approach to dynamic analysis of the ring spinning process. Part II. With air drag. Text Res J1989; 59: 416–424.
8.
FraserWB. On the theory of ring spinning. Proc R Soc Lond A1993; 342: 439–468.
9.
FraserWBFarnellLStumpDM. Effect of yarn non-uniformity on the stability of the ring-spinning balloon. Proc R Soc Lond A1995; 449: 597–621.
10.
FraserWB. Air drag and friction in the two-for-twister: results from the theory. J Text Inst1993; 84: 364–375.
11.
FraserWBFarnellLStumpDM. Effect of a slub on the stability of the ring-spinning balloon. J Text Inst1995; 86: 610–634.
12.
FraserWBClarkJDGhoshTK, et al.The effect of a control ring on the stability of the ring-spinning balloon. Proc R Soc Lond A1996; 452: 47–62.
13.
StumpDMFraserWB. Transient solutions of the ringspinning balloon equations. J Appl Mech Trans ASME1996; 63: 523–528.
14.
FanRSinghSKRahnCD. Modal analysis of ballooning strings with small curvature. J Appl Mech Trans ASME2001; 68: 332–338.
15.
ClarkJDFraserWBSharmaR, et al.The dynamic response of a ballooning yarn: theory and experiment. Proc R Soc Lond A1998; 454: 2767–2789.
16.
TangZXWangXFraserWB, et al.An experimental investigation of yarn tension in simulated ring spinning. Fiber Polym2004; 5: 275–279.
17.
TangZXWangXBarrie FraserW, et al.Simulation and experimental validation of a ring spinning process. Simulat Model Pract Theor2006; 14: 809–816.
18.
TangZXFraserWBWangXG. Modelling yarn balloon motion in ring spinning. Appl Math Model2007; 31: 1397–1410.
19.
Yin R, Liu Y and Gu HB. Artificial parameter perturbation method and parameter-expansion method used in accurate prediction of the ring-spinning balloon in zero air drag. In: 2010 international conference on system science, engineering design and manufacturing informatization, Yichang, China, 12–14 November 2010, pp.222–225. IEEE.
20.
YinRGuHB. Accurate prediction of the ring-spinning equation in zero air drag based on homotopy perturbation method. J Text Inst2011; 102: 763–766.
21.
YangRHWuWMWanYQ, et al.Cotton/polyester Solo-Sirofil composite yarn. Ind Text2011; 62: 240–243.
22.
ZhangLNHeJH. Periodic and chaotic motion in Sirofil yarn spinning. Fibre Text East Eur2008; 16: 27–29.
23.
RameshkumarCRengasamyRSAnbumaniN. Studies on polyester/waste silk core-spun yarns and fabrics. J Ind Text2009; 38: 191–203.
24.
DangMWangSYLiuGJ. Theoretical prediction on tensile model of wool/spandex core-spun yarn. J Ind Text2008; 37: 301–313.
25.
YinRTaoXMXuBG. Variation of false twist on spinning process stability and resultant yarn properties in a modified ring spinning frame. Text Res J2018; 88: 1876–1892.
26.
YinRTaoXMXuBG. Mathematical modeling of yarn dynamics in a generalized twisting system. Sci Rep UK2016, pp. 6: 24432–24432.
27.
TangHBXuBGTaoXM, et al.Mathematical modeling and numerical simulation of yarn behavior in a modified ring spinning system. Appl Math Model2011; 35: 139–151.
28.
SuCIMaaMCYangHY. Structure and performance of elastic core-spun yarn. Text Res J2004; 74: 607–610.
29.
YinRGuHB. Numerical simulation of quasi-stationary ring spinning process: linear elastic yarn. Text Res J2011; 81: 22–27.
30.
FraserWB. Effect of yarn elasticity on an unwinding balloon. J Text Inst1992; 83: 603–613.
31.
KothariVKLeafGA. An unwinding of yarn from packages-part I: the theory of yarn unwinding. J Text Inst1979; 70: 89–95.
32.
ZhouBR. Calculation of travelers outer obliquity on the meridian surface of the rings. Text Accessor2004; 31: 13–17.
33.
JiangJFHuLJTangJ. Numerical analysis and Matlab experiment, Beijing: Science Press, 2004.
34.
Wang D. Fei xian xing fang cheng zu jie fa yu zui you hua fang fa. Beijing: Ren min jiao yu chu ban she, 1979.
