Attenuation of Vibration and Mass Reduction using a Finite Hollow Periodic Rod

Resumo

Through the decades, periodic structures have been studied using different models and configurations,
and recently, metamaterial design has emerged as a hot topic for research. The effect of creating pass and stop
bands for this type of system considerably expands the possibility of applications. However, there is a knowledge
gap regarding practical analysis, which relates attenuation gains with physical properties, such as structural mass.
This work presents a design improvement to increase vibration attenuation and mass reduction for a periodic rod.
Asymmetric cells are considered using solid and hollow configurations. Using the transfer matrix method,
displacement transmissibility expressions are derived as a function of the internal diameter. Numerical simulations
show that a structure with hollow cells results in a reduction of 24% in the minimum transmissibility and a
reduction in mass of about 40%, compared to a similar structure with solid cells.