Direct calculation of limit cycles of draw resonance and their stability in spinning process
- Authors
- Yun, Jang Ho; Shin, Dong Myeong; Lee, Joo Sting; Jung, Hyun Wook; Hyun, Jae Chun
- Issue Date
- 2008
- Publisher
- SOC RHEOLOGY, JAPAN
- Keywords
- draw resonance; time-periodic states; stability of limit cycles; monodromy matrix; Newton' s method; pseudo arc-length continuation; Hopf bifurcation
- Citation
- NIHON REOROJI GAKKAISHI, v.36, no.3, pp.133 - 136
- Indexed
- SCIE
SCOPUS
- Journal Title
- NIHON REOROJI GAKKAISHI
- Volume
- 36
- Number
- 3
- Start Page
- 133
- End Page
- 136
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/125565
- DOI
- 10.1678/rheology.36.133
- ISSN
- 0387-1533
- Abstract
- Draw resonance, known to govern the onset of instability occurring in extension-dominant polymer processes, has been investigated using the bifurcation analysis method. Time-periodic trajectories of draw resonance along the drawdown ratio over the onset point or Hopf point, have been directly obtained by Newton's method implemented with pseudo arc-length continuation scheme. Floquet multipliers of the monodromy matrix to determine the stability of limit cycles have been also computed by time-integration during one period of the oscillation. It has been revealed that the limit cycles over the onset are more stable when drawdown ratio rises for both Newtonian and viscoelastic fluids, so draw resonance is a stable supercritical Hopf bifurcation.
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Collections - College of Engineering > Department of Chemical and Biological Engineering > 1. Journal Articles
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