×
Yang, Rui-Hua; Wang, Shan-Yuan

Resonance in a rotor-spun composite yarn spinning process obtained using the variational iteration method. (English) Zbl 1189.65180

Comput. Math. Appl. 58, No. 11-12, 2486-2488 (2009).
Summary: A nonlinear oscillator is established for the rotor-spun composite yarn spinning process. The oscillating frequencies in vertical and horizontal directions are obtained approximately using the variational iteration method. The condition for resonance is obtained. The presented study sheds light on the optimal design of the system.

Cited in 2 Documents

MSC:

65L99 Numerical methods for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations

Keywords:

rotor-spun composite yarn; convergent point; dynamic model; variational iteration method; coupled nonlinear oscillators; resonance
PDF BibTeX XML Cite
\textit{R.-H. Yang} and \textit{S.-Y. Wang}, Comput. Math. Appl. 58, No. 11--12, 2486--2488 (2009; Zbl 1189.65180)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Pracek, S., Theory of string motion in the textile process of yarn unwinding, Int. J. nonlin. sci. num.,, 8, 3, 451-460, (2007)
[2] Liu, Y.; Xu, L., Controlling air vortex in air-vortex spinning by zeng – he model, Int. J. nonlin. sci. num.,, 7, 389-392, (2006)
[3] Zeng, Y.C.; Yu, C.W., A flexible fiber model for dynamic simulation of fibers in high speed air flows, Int. J. nonlin. sci. num.,, 7, 427-430, (2006)
[4] Yang, Rui-Hua; Wang, Shan-Yuan, A linear dynamic model for rotor-spun composite yarn spinning process, J. phys.: conf. ser., 96, 012039, (2007)
[5] Yang, Rui-Hua; Wang, Shan-Yuan, Nonlinear dynamic model of convergent point for rotor-spun composite yarn spinning process, Int. J. nonlin. sci. num.,, 9, 3, 271-274, (2008)
[6] Yang, Rui-Hua; Wang, Shan-Yuan, Determination of the convergent point in the rotor-spun composite yarn spinning process, Textile res. J., 79, 6, 555-557, (2009)
[7] He, J.H., Some asymptotic methods for strongly nonlinear equations, Internat. J. modern phys. B, 20, 10, 1141-1199, (2006) · Zbl 1102.34039
[8] Zhang, L.N; He, J.H., Resonance in sirospun yarn spinning using a variational iteration method, Comput. math. appl., 54, 7-8, 1064-1066, (2007) · Zbl 1141.65373
[9] He, J.H., Variational iteration method – some recent results and new interpretations, J. comput. appl. math., 207, 3-17, (2007) · Zbl 1119.65049
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.