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 language | English |
---|---|
Pages (from-to) | 59-65 |
Number of pages | 7 |
Journal | Korea Australia Rheology Journal |
Volume | 23 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 Mar |
Keywords
- Chaotic motion
- Draw resonance
- Film casting
- Stability
- Tension control
- Transient solutions
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics