Parametric Study of Periodic Perforations of a Cantilever Plate for Vibration Attenuation

Periodic repetitive perforations are known to attenuate vibration. This work studies the effect of variation of cavity types, their sizes, ligament efficiencies and thickness of plates on vibration attenuation in a cantilever plate. It establishes a relationship between the above-mentioned structural parameters and wide band gaps in vibration attenuation. A Finite Element Method (FEM) model of cantilever plates with Shell 63 elements is used for modal analysis and a convergence study is conducted. The results show a substantial widening of these band gaps based on an optimal choice of the varying parameters. It is observed that in case of a cantilever plate with circular perforations, thickness is the most influential variable for bandgaps, followed by hole diameters and ligament ratio. With an increase in plate thickness and decrease in hole diameters, there is an increase in the bandgaps. This study is crucial in situations where a large frequency range is to be attenuated.