Studies on melt spinning. VIII. Transfer function approach

Abstract

Abstract Transfer function analyses were carried out on a linearized perturbation model of melt spinning previously developed. Results are as follows. (1) Formal proof was obtained of the criterion of spinline stability stated in terms of transfer function. (2) A new concise statement of the stability criterion was obtained: the spinline is stable when the transfer function G 2 ( s ) connecting the spinline tension to the spinline velocity does not have a zero in the right‐hand half of the complex s plane. (3) Effects of various external disturbances on filament unevenness were predicted theoretically by expressing the transfer function between each disturbance input and cross‐sectional area at take‐up in the form of frequency response Bode diagrams.