  The present paper investigates the band structure of an axially moving belt
resting on a foundation with periodically varying stiffness. It is concluded
that the band gaps appear when the divergence of the eigenvalue occurs and the
veering phenomenon of mode shape begins. The bifurcation of eigenvalues and
mode shape veering lead to wave attenuation. Hence, the boundary stiffness
modulation can be designed to manipulate the band gap where the vibration is
suppressed. The contribution of the system parameters to the band gaps has been
obtained by applying the method of varying amplitudes. By tuning the stiffness,
the desired band gap can be obtained and the vibration for specific parameters
can be suppressed. The current study provides a technique to avoid vibration
transmission of the axially moving material by designing the foundation
stiffness.
