Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

Abstract Elastic mechanical metamaterials are the exemplar of periodic structures. These artificially designed structures having idiosyncratic physical properties like negative mass and Young’s modulus in specific frequency ranges. extreme due to spatial periodicity unit cells, which exhibit local resonance. That is why scientists researching dynamics these for decades. This unusual dynamic behavior contingent, modulates wave propagation through Locally resonant units metamaterial facilitate bandgap formation virtually at any wavelengths much higher than lattice length a unit. Here, we analyze band structure piezo-embedded using generalized Bloch theorem. For finite number coupled equation motion system deduced, considering purely resistive shunted inductor energy harvesting circuits. Successively, voltage power produced by piezoelectric material along with transmissibility computed backward substitution method. The addition resonating increases complexity solution. results elucidate, insertion provides better tunability simultaneous vibration attenuation. Non-dimensional analysis gives parameters that govern electromechanical bandgaps. Optimized numerical values also found maximum first attenuation bandwidth. Thus, broader generation enhances attenuation, can be simultaneously available, making multifunctional. exploration considered as step towards active elastic design.