Dynamic response analysis of viscoelastic moving belts

Abstract EN

The dynamic response and stability of parametrically excited viscoelastic belts are investigated in the current study.

In this work, the generalized equation of motion is obtained for a viscoelastic moving belt with geometric nonlinearity.

Non-dimensional analysis of the model was built on some assumptions to simplify the problem.

The viscoelasticity of the model was modelled using Kelvin-Voigt model, the dynamic equation of motion derived using perturbation technique.

The displacement of vibration found using the zeroth order solution that was subdivided into two parts, real and imaginary parts, due to the nature of nonlinear system.

In this research effects of many elastic and viscoelastic parameters are studied, it was shown that there exists an upper boundary for the existence condition of the summation parametric resonance due to the existence of viscoelasticity.

Effects of viscoelastic parameters, excitation frequencies, excitation amplitudes, and the axial moving speed on dynamic responses and existence boundaries were investigated.