The effect of the numberNof the differencing increments on the limit cycle solutions was studied. Further, the mechanism of draw resonance was investigated by simulating the side profiles of the pulsing spin line in draw resonance.
The amplitude and period of limit cycle solutions increased leveling off at aboutN=500 asNwas increased from 100 to 600. The neutral stability curve, however, was not affected by the numberN.The computed limit cycle solutions were shewed in the form of the wave peak. Similar skewed wave form was also observed experimentally.
Motion pictures (16 mm) of the side profiles of the spin line in draw resonance agreed well with the theoretical side views derived from the limit cycle solution.
A variation of a spinning tension is similar in wave form to that of the cross sectional area at the take up but slightly ahead in phase. The mechanism of draw resonance may be explained by the analogybetween melt melt spinning and feed back control system.
The amplitude and oscillation period of draw resonance observed in PET experiments showed a fair agreement with those of the computed limit cycle solutions.
It was expected that the introduction of the power law viscosity might result in a better agreement of experimint with the theory.
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