Premium
Studies on melt spinning. VIII. Transfer function approach
Author(s) -
Kase Susumu,
Araki Masashi
Publication year - 1982
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1982.070271132
Subject(s) - transfer function , mathematics , perturbation (astronomy) , protein filament , function (biology) , mathematical analysis , materials science , physics , composite material , engineering , evolutionary biology , biology , quantum mechanics , electrical engineering
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.