In this work, an innovative two-dimensional (2D) hybrid auxetic elastic metamaterial (MODEL I) with reentrant triangular and chiral structures is proposed to open the broaden bandgap for vibration attenuation. Furthermore, the hybrid reentrant-chiral lattice with embedded resonators (MODEL II) shows multiple bandgaps at ultra-low frequency. Based on theoretical lumped mass-in-mass method and finite element method, the bandgap and longitudinal elastic wave attenuation are characterized. There is no complete bandgap in classical reentrant triangular lattice (MODEL 0), while the complete bandgaps width for MODEL I and II account for one forth of the concerned frequency range (0–4500 Hz). What more, the lower boundary of the first bandgap for MODEL II is 56% lower than that of MODEL I. The bandgap formation mechanisms are investigated by analyzing the mode shapes on the dispersion curves, and the frequency-dependent energy flow are studied through the iso-frequency contours, phase and group velocities. Finally, the longitudinal elastic wave attenuation of finite-size lattice of MODEL II illustrates ultra-wide vibration attenuation frequency range in the directional bandgaps. This research provides important clues and theoretical guidance for the design of vibration isolators, beam, plates and other renewed devices.

在这项工作中，提出了一种具有可重入三角形和手性结构的创新二维 (2D) 混合拉胀弹性超材料 (MODEL I)，以打开用于振动衰减的加宽带隙。此外，带有嵌入式谐振器的混合重入手征晶格（模型 II）在超低频下显示出多个带隙。基于理论集中质量质量法和有限元法，表征了带隙和纵向弹性波衰减。经典重入三角晶格（模型 0）中没有完整的带隙，而模型 I 和 II 的完整带隙宽度占相关频率范围（0-4500 Hz）的四分之一。此外，模型 II 的第一带隙下边界比模型 I 低 56%。通过分析色散曲线上的模式形状来研究带隙形成机制，并通过频率相关的能量流研究了频率相关的能量流。等频轮廓、相位和群速度. 最后，模型 II 有限尺寸晶格的纵弹性波衰减说明了定向带隙中的超宽振动衰减频率范围。该研究为隔振器、梁、板等更新装置的设计提供了重要线索和理论指导。