The non-linear force vibration oscillator is established for the rotor-spun composite yarn spinning process. The variational iteration method is used to calculate the approximate oscillating periods in the vertical and horizontal directions. Thecondition for resonance is obtained.
HeJHYuYPYuJY. A linear dynamic model for two-strand yarn spinning. Textile Res J2005; 75(1): 87–90.
2.
XuL. Dynamic of two-strand yarn spinning in forced vibration. Nonlinear Analysis2009; 71: e827–e829.
3.
YangR-HWangS-Y. A linear dynamic model for rotor-spun composite yarn spinning process. Int J Nonlin Sci Num Sim2008; 9: 271–274.
4.
YangR-HWangS-Y. A linear dynamic model for rotor-spun composite yarn spinning process. J Phys: Conf Series2007; 96: 012039–012039.
5.
YangR-HWangS-Y. Determination of the convergent point in the rotor-spun composite yarn spinning process. Textile Res J2009; 79(6): 555–557.
6.
HeJH. Variational iteration method – a kind of non-linear analytical technique: Some examples. Int J Nonlin Mech1999; 34: 699–708.
7.
HeJH. Variational iteration method-some recent results and new interpretations. J Comput Appl Math2007; 207: 3–17.
8.
FarazNKhanYAustinF. An alternative approach todifferential-difference equations using the variational iteration method. Z Naturforsch2010; 65a: 1055–1059.
9.
WangJKhanYYangRLuLWangZFarazN. A mathematical modelling of inner-resonance of tangent nonlinear cushioning packaging system with critical components. Math Comp Model2011; 54: 2573–2576.
10.
ZhangLNHeJH. Resonance in Sirospun yarn spinning using a variational iteration method. Comput Math Appl2007; 54: 064–1066.
11.
InotukiMSekineHMuraT. General use of the Lagrange multiplier in nonlinear mathematical physics. In: Nemat-NasserS (ed.) Variational methods in the mechanics of solids. Oxford: Pergamon Press, 1980. 156–162.
12.
HeJHWuGCAustinF. The variational iteration method which should be followed. Nonlin Sci Lett A2010; 1: 1–30.
