A set of partial simultaneous differential equations introduced by one of the authors previously to simulate the dynamics of melt spinning was solved for the condition of isothemal spinning without expanding the equation into perturbed forms.
The solutions showed that the phenomenon of draw resonace can be interpreted as a limit cycle which is a term used in the nonlinear mechanics.The draw resonancce simulated as a limit cycle started at the draw down ratio of 20 which is in agreement with the author, s previous study.As the draw down ratio further increased, the draw resonance showed a rapid increase resulting in an extreme thinn'ng of the thread at regular intervals, and at the same time, the shape of the draw resonance quickly approached that of a pulse train.
As far as the oscillation period is concerned, the theoretical thread cross-sectional area curve agreed well with experiments showing the general validity of the solution. Agreement, however, was poor on the amplitude of oscillation indicating the desirability of the introduction of non-Newtonian behavior into the mathematical model.