Exploitation of dimension-dependent behavior of piezoelectric metamaterial with LC shunt circuit

To release the potential of piezoelectric metamaterial with LC local resonance, in this research we discuss its dimension-dependent behavior for the first time. It's found that the bandgap behavior is primarily related to the length/width of the piezoelectric transducers. In particular, the bandgap width of the piezoelectric metamaterial can be increased by 3.01 times by optimizing the transducers which has constant area of 64 mm and height of 0.5 mm. Moreover, it's illustrated that optimization of the dimension of transducer may yield better wave attenuation capability than adopting larger transducers. The analysis of the dimension-dependent behavior here is potential to be applied in the optimization of piezoelectric metamaterial.