http://www.dvc.shu.edu.cn/Portals/385/injss_42(1)_2005.pdf

Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models

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 identi1cation of instability regions and the estimation of the critical speed. For the beam material two di3erent models, i.e., Kelvin–Voigt and B # have been considered. The numerical solutions of full non-linear and linearized equations have been compared. The e3ects 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 coe7cient smaller than 3 × 10 −5 . For the materials with larger damping coe7cient the B # urgers model gives more reliable results. ? 2002 Elsevier

/pdf/kelvin-voigt-versus-burgers-internal-damping-in-modeling-of-51nj710q7l.pdf

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

Hydroelastic dynamic analysis of axially moving plates in continuous hot-dip galvanizing process

Dynamics of axially moving continua

https://hal.archives-ouvertes.fr/hal-00214124/document

Stability and vibration analysis of a complex flexible rotor bearing system

In this paper, the viscoelastic theory is applied to the axially moving Levy-type plate with two simply supported and two free edges. On the basis of the elastic – viscoelastic equivalence, a linear mathematical model in the form of the equilibrium state equation of the moving plate is derived in the complex frequency domain. Numerical calculations of dynamic stability were conducted for a steel plate. The effects of transport speed and relaxation times modeled with two-parameter Kelvin–Voigt and three-parameter Zener rheological models on the dynamic behavior of the axially moving viscoelastic plate are analyzed.

Free vibration analysis of the axially moving Levy-type viscoelastic plate

Stability and oscillation characteristics of an axially moving beam have been investigated. Two different models of the beam material, i.e., Kelvin-Voigt and Maxwell have been considered. The numerical solutions of full nonlinear and linearized equations have been compared. The effects of axially travelling speed and the internal damping on dynamical stability of the axially moving beam have been studied in details. Numerical studies of the Kelvin-Voigt and Maxwell models show that both models give similar results only for small values of the internal damping (dimensionless internal damping coefficient
 smaller than $ 5\cdot10^{-6}$). For materials with larger damping coefficient the considered models give different results.

/pdf/non-linear-dynamic-analysis-of-an-axialy-moving-viscoelastic-4dwbfhvm5x.pdf

Krzysztof Marynowski

Papers

Dynamics of axially moving continua

Free vibration analysis of the axially moving Levy-type viscoelastic plate

Non-linear dynamic analysis of an axialy moving viscoelastic beam

Dynamics of the Axially Moving Orthotropic Web

Stability of symmetrical rotor supported in flexibly mounted, self-acting gas journal bearings