In this paper, the nonlinear dynamic responses of viscoelastic axially moving belts are investigated and the Kelvin viscoelastic differential constitutive model is employed to characterize the material property of belts. The generalized equation of motion is obtained for a viscoelatic axially moving belts with geometric nonlinearity first, and then is reduced to be a set of second-order nonlinear ordinary differential equations by applying Galerkin's method. Finally, the effects of viscosity parameter and elastic parameter and the travelling speed of the belt on the transient responses are investigated by the research of digital simulation
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