Non-linear dynamic analysis of an axialy moving viscoelastic beam

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.