Nonlinear dynamics and chaotic motion in the isothermal film casting process
- Authors
- Jung, Hyun Wook; Lee, Joo Sung
- Issue Date
- 3월-2011
- Publisher
- KOREAN SOC RHEOLOGY
- Keywords
- chaotic motion; draw resonance; film casting; stability; tension control; transient solutions
- Citation
- KOREA-AUSTRALIA RHEOLOGY JOURNAL, v.23, no.1, pp.59 - 65
- Indexed
- SCIE
SCOPUS
KCI
OTHER
- Journal Title
- KOREA-AUSTRALIA RHEOLOGY JOURNAL
- Volume
- 23
- Number
- 1
- Start Page
- 59
- End Page
- 65
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/112917
- DOI
- 10.1007/s13367-011-0008-4
- ISSN
- 1226-119X
- Abstract
- In the industrial film casting process with the two-stage cascade (velocity and tension controlled) loop, various aspects of nonlinear dynamics and chaotic motion have been investigated solving simple 1-D viscoelastic model. Most of the extensional deformation processes exhibit sustained-periodic oscillations or stable limit cycles of state variables (called draw resonance instability) beyond the critical onset, even if they are conventionally controlled systems. Besides such well-known instability, some intriguing nonlinear dynamic phenomena such as period-doubling and eventual chaotic motion of film thickness and width could be observed when a disturbance is imposed in the second tension-controlled system. In other words, the bifurcation mode is dramatically changed by a sinusoidal disturbance under the combined velocity-tension control condition in contrast to only constant take-up velocity condition inducing a supercritical Hopf bifurcation of draw resonance.
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Collections - College of Engineering > Department of Chemical and Biological Engineering > 1. Journal Articles
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