A new local resonance metamaterial for flat and cylindrical structures depended on elastic chiral spiral beams

In practical engineering structures, complex low-frequency vibrations are often encountered. However, most reported elastic metamaterials are designed for high-frequency ranges or rely on substantial additional mass to control low-frequency vibrations, making them difficult to apply in real-world engineering scenarios. To address this limitation, we propose a homogeneous locally resonance metamaterial with tunable low-frequency bandgaps. This design overcomes the challenges associated with conventional local resonators, which are often large and heavy, making them impractical for engineering applications. By integrating resonator structures composed of elastic chiral spiral beams and mass blocks onto the supporting structure, we achieve low-frequency vibration control within limited spaces, broadband absorption with gradient parameter units, and vibration control under different curvatures. The effectiveness of the proposed design is validated through comparative computational methods, dispersion curve calculations, frequency response simulations, and experimental tests. This study proposes a novel LRM structure with a full bandgap from 96.9 to 124 Hz. The transmittance is negative in most of the band gap range, which has been verified through numerical and experimental results. This approach effectively meets the complex low-frequency vibration control requirements of various curved structures in engineering applications, providing a viable solution for low-frequency vibration control of structures such as flat and cylindrical shells.