BIFURCATION AND CHAOS OF A PARAMETRICALLY EXCITED VISCOELASTIC MOVING BELT

In this paper, bifurcation and chaos of a parametrically excited viscoelastic moving belt were investigated. Based on geometry nonlinearity, the nonlinear governing equations of motion for the viscoelastic moving belt were derived by Hamiltonian principles. Then, the Galerkin method was used to discretize the governing equations. Finally, the Runge-Kutta was employed to analyze the nonlinear dynamical behaviors of the belt. The numerical results indicate that bifurcation and chaos occur in the transverse nonlinear oscillations of the parametrically excited viscoelastic moving belt. In addition, the dynamic response of belt varies with the parameters.