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Kelvin–Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web

2002; Elsevier BV; Volume: 37; Issue: 7 Linguagem: Inglês

10.1016/s0020-7462(01)00142-1

1878-5638

Krzysztof Marynowski, Tomasz Kapitaniak,

Fluid Dynamics and Thin Films

Stability and oscillation characteristics of two-dimensional axially moving web have been investigated. The application of one-dimensional beam-like models of the web allows the identification of instability regions and the estimation of the critical speed. For the beam material two different models, i.e., Kelvin–Voigt and Bürgers have been considered. The numerical solutions of full non-linear and linearized equations have been compared. The effects of axially travelling speed and the internal damping on dynamical stability of axially moving web have been studied in details. Our numerical studies of Kelvin–Voigt and Burger's models show that both models give similar results for small values of internal damping and can be used to describe the dynamics of axially moving webs made from materials with internal damping coefficient smaller than 3×10−5. For the materials with larger damping coefficient the Bürgers model gives more reliable results.