A mathematical model is established for a stable rotor-spun composite yarn spinning process based on force balance and mass conservation. From the established model, we can easily determine the position of the convergent point, the section area and the line density of the composite yarn.
He, J.H. , Accurate identification of shape of yarn balloon , J. Textil. Inst. 95(1-6), 187-191 (2004).
2.
Liu, Y., and Xu, L., Controlling air vortex in air-vortex spinning by Zeng-He model, Int. J. Nonlinear Sci. Numer. Simul. 7(4), 389-392 (2006).
3.
Zeng, Y.C., and Yu, C.W., A flexible fiber model for dynamic simulation of fibers in high speed air flows, Int. J. Nonlinear Sci. Numer. Simul. 7(4), 427-430 (2006).
4.
Basu, A., Influence of yam structural parameters on rotor-spun yarn properties, J. Textil. Inst. 91(1), 179-182 ( 2000).
5.
Huh, Y., Kim, Y.R., and Oxenham, W., Analyzing structural and physical properties of ring, rotor, and friction spun yarns, Textile Res. J. 72(2), 156-163 (2002).
6.
Koc, E., and Lawrence, C.A., Mechanisms of wrapper fibre formation in rotor spinning: An experimental approach , J. Textil. Inst. 97(6), 483-492 (2006).
7.
Behera, B.K. , and Joshi, V.K., Warp breakage mechanism of friction spun yarns, J. Textil. Inst. 97(6), 503-512 (2006).
8.
Nield, R., and Ali, A.R.A., Open-end-spun core-spun yams, J. Textil. Inst. 6, 223-229 (1977).
9.
Cheng, K.B., and Murray, R., Effects of spinning conditions on structure and properties of open-end cover-spun yarns, Textile Res. J. 70(8), 690-695 (2000).
10.
Pouresfandiari, F., Fushimi, S., Sakaguchi, A., et al., Spinning conditions and characteristics of open-end rotor spun hybrid yarns, Textile Res. J. 72(1), 61-70 (2002).
11.
Matsumoto, Y. , Fushimi, S., Saito, H., et al., Twisting mechanisms of open-end rotor spun hybrid yarns, Textile Res. J. 72(8), 735-740 (2002).
12.
Zhang, H.X., Xue, Y., and Wang, S.Y., Twisting characteristics of rotor-spun composite yarns, Fibres Text. East Eur. 14(2), 17-19 (2006).
13.
Zhang, H.X., Xue, Y., and Wang, S.Y., Effects of twisting parameters on characteristics of rotor-spun composite yarns with spandex, Fibers Polym. 7(1), 66-69 (2006).
14.
He, J.H., Yu, Y.P., Pan, N., et al., Quasistatic model for two-strand yarn spinning, Mech. Res. Comm. 32(2), 197-200 (2005).
15.
He, J.H., Yu, Y.P., Yu, J.Y., et al., A linear dynamic model for two-strand yarn spinning, Textile Res. J. 75(1), 87-90 ( 2005).
16.
He, J.H. , Yu, Y.P., Yu, J.Y., et al., A nonlinear dynamic model for two-strand yarn spinning, Textile Res. J. 75(2), 181- 184 (2005).
17.
He, J.H. , Variational Approach to Nonlinear Coupled Oscillators Arising in Sirospun Yarn Spinning, Fibres Text. East Eur. 15(1), 31-34 (2007).
18.
He, J.H. , Some Asymptotic Methods for Strongly Nonlinear Equations, Int J Mod Phys B, 20(10), 1141-1199 (2006)
19.
Ganji, D.D. , and Sadighi, A., Application of He's homotopyperturbation method to nonlinear coupled systems of reaction-diffusion equations, Int. J. Nonlinear Sci. Numer. Simul. 7(4), 411-418 (2006).
20.
Odibat, Z.M. , and Momani, S., Application of variational iteration method to Nonlinear differential equations of fractional order, Int. J. Nonlinear Sci. Numer. Simul. 7(1), 27-34 (2006).
