Design of a biconical locally resonant metamaterial for elastic wave filtering

Abstract In this study, a two-dimensional locally resonant metamaterial (TLRM) based on a classical biconical structure is systematically investigated to achieve effective wave filtering within a designed bandgap. The proposed configuration is constructed by vertically displacing the two connecting points of the central arm in opposite directions, thereby forming a biconical bandgap structure. Subsequently, a local resonator is introduced at the geometric center of the central arm, resulting in TLRM model. Band structure analysis shows a distinct local-resonance-induced mode,which is confirmed by the corresponding eigenmode distributions, and by tuning the geometry and material properties of the biconical structure, resonator, and coating layer, the filtering range can be effectively controlled. To validate the theoretical predictions, finite element simulations are conducted to analyze the modal behavior and stress transmission of the periodic structure.The results show that elastic waves are strongly attenuated outside and efficiently transmitted within the filtering band, in good agreement with predictions. Owing to its compact configuration, tunable filtering performance, the proposed biconical-based TLRM exhibits substantial potential for practical applications in elastic wave manipulation. These findings provide valuable guidance for the development of high-performance, lightweight, and structurally adaptable wave-control systems in engineering applications.