Nonlinear dynamics and chaotic motion in the isothermal film casting process

Hyun Wook Jung, Joo Sung Lee

Research output: Contribution to journalArticle

2 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

  • Materials Science(all)
  • Condensed Matter Physics

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