Nonlinear dynamics and chaotic motion in the isothermal film casting process

Hyun Wook Jung, Joo Sung Lee

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    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 viscoelasticmodel. Most of the extensional deformation processes exhibit sustained-periodic oscillations orstable 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.

    Original languageEnglish
    Pages (from-to)59-65
    Number of pages7
    JournalKorea Australia Rheology Journal
    Volume23
    Issue number1
    DOIs
    Publication statusPublished - 2011 Mar

    Keywords

    • Chaotic motion
    • Draw resonance
    • Film casting
    • Stability
    • Tension control
    • Transient solutions

    ASJC Scopus subject areas

    • General Materials Science
    • Condensed Matter Physics

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