Investigation of Stop Band Behavior in complex finite Vibroacoustic Metamaterial Structures using a Power-based Method

Structural intensity (STI) is a powerful tool for identifying energy sources and sinks for studying the transmission paths of vibrational energy within structures.Vibroacoustic metamaterials (VAMMs), which utilize local resonance effects to create stop bands, inhibit free wave propagation within specific frequency ranges.This study introduces an approach that uses active structural intensity to quantitatively assess the stop band behavior in complex, finite VAMM plate-like structures.The proposed vibrational power-based method offers a robust framework for evaluating stop band characteristics by analyzing active power flow and quantifying the energy loss due to the VAMM's resonators.Furthermore, damping plays a crucial role in the application of the STI method, and it is necessary to distinguish between the influences of damping and metamaterials.The effectiveness of this approach is confirmed by comparing the predicted stop band with the frequency response function (FRF) of the structure, demonstrating its accuracy in capturing stop band behavior.The effect of uncertainty in the resonator parameters on the stop band width is explored to assess the sensitivity of the vibrational power-based method in predicting stop band behavior under varying parameters.