Dynamic Characteristics of an Axially Moving Viscoelastic Belt for Nonlinear Oscillations

摘要

The nonlinear dynamic characteristics of an axially moving viscoelastic belt are studied. The Galerkin approach is applied to obtain the ordinary differential governing equations. Sequentially, the natural frequency of the belt is investigated. Based on the 4-order Runge-Kutta algorithm, the effects of the parameters, such as the steady tension, perturbation tension, the frequency and the dynamic viscosity, on the dynamic characteristic of the belt are respectively presented. Finally, a compared study between the nonplanar transverse oscillations and only in-plane transverse oscillations of the belt is also carried out. The numerical results indicate that bifurcation and chaos phenomena occur in the nonlinear transverse oscillations of the axially moving viscoelastic belt. In addition, under the same initial conditions and parameters, there are serious differences of dynamic response between the nonplanar transverse oscillations and only in-plane transverse oscillations for the axially moving viscoelastic belt.