Tunable band gaps of axially moving belt on periodic elastic foundation

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.

Automated summary

This study investigates the band structure of an axially moving belt resting on a foundation with periodically varying stiffness. It is observed that band gaps appear when the divergence of eigenvalues occurs and mode shapes start to veer. The bifurcation of eigenvalues and mode shape veering result in wave attenuation. Hence, the boundary stiffness modulation can be designed to manipulate the band gap and suppress vibration. The contribution of system parameters to the band gaps has been obtained through the method of varying amplitudes. By adjusting stiffness, the desired band gap can be obtained and vibration can be suppressed for specific parameters. This study provides a technique to avoid vibration transmission of axially moving material by designing the foundation stiffness.