Non-linear vibrations of the axially moving paper web

Non-linear vibrations of the beam-like model of an axially moving paper web with time-dependent tension have been investigated in this paper. The considered paper parameters have been determined experimentally. The beam model material is considered as the Kelvin-Voigt element. The Galerkin method and the 4-th order Runge-Kutta method have been used to solve the governing non-linear partial-differential equation. The effects of the transport speed, tension perturbation amplitude and internal damping on the dynamic behaviour of the system have been numerically investigated.