A Micro-structured Metaplate with Tunable Omnidirectional Bandgap at Low Frequency
摘要
In this study, we conduct numerical and experimental investigations into the bandgap characteristics of an elastic metaplate featuring periodic micro-unit cells with a length scale of 10 mm. The mechanical eigenfrequencies of the unit cell are determined using finite element analysis, employing Floquet-Bloch boundary conditions. Our numerical results reveal the emergence of omnidirectional bandgaps at low frequencies (< 500 Hz), facilitated by the local resonant mechanism. Additionally, a parametric study explores the influence of geometric parameters on the bandgap characteristics, elucidating the tunability of the bandgap. We compare the dispersion relation with the numerical frequency response study to validate the presence of bandgaps. Subsequently, we fabricated a sample of the proposed metaplate using 3D printing technology and subjected it to vibration testing to measure its response spectrum. A good agreement between numerical and experimental analyses was achieved, affirming the validity of our findings. The proposed metaplate demonstrates potential as a valuable structural component, capable of integration into compact systems for attenuating vibrations in the low-frequency regime.