Transient Response of Viscoelastic Moving Belts Using Block-by-block Method

The linear, viscoelastic, integral constitutive law is employed to model the viscoelastic characteristic of belt materials. By assuming the translating eigenfunctions instead of stationary eigenfunctions to be the spatial solutions, the governing equation is reduced to differential-integral equations in time, which are then solved by the block-by-block method. The transient amplitudes of parametrically excited viscoelastic moving belts with uniform and non-uniform travelling speed are obtained. The effects of viscoelastic parameters and perturbed axial velocity on the system response are also investigated.