Nonlinear dynamics and chaotic motion in the isothermal film casting process

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 os...

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Bibliographic Details
Published inKorea-Australia rheology journal Vol. 23; no. 1; pp. 59 - 65
Main Authors Jung, Hyun-Wook, Lee, Joo-Sung
Format Journal Article
LanguageKorean
Published 2011
Subjects
film casting
transient solutions
draw resonance
chaotic motion
stability
tension control
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO201117463455982
ISSN:1226-119X
2093-7660