This study investigates the wave dissipation properties of continuous metamaterial beam structures with embedded inerter-based devices and possible negative-stiffness elements. The vibration attenuation performance of using inerters is evaluated by examining the system frequency response functions and the propagating wave damping ratios. The results show that the response amplitude can be significantly reduced in the targeted frequency ranges. Additionally, anti-resonance frequencies and wave stopbands are induced with the use of inerters. Exceptional energy dissipation properties are also obtained when the proposed oscillators are employed to support a metamaterial beam structure. These findings provide a better understanding of the effects of inerters on vibration suppression and will benefit future designs of smart structures with metamaterials for vibration mitigation.

这项研究调查了具有嵌入式基于惯性的装置和可能的负刚度元素的连续超材料梁结构的波耗散特性。通过检查系统频率响应函数和传播波的阻尼比来评估使用惰性气体的减振性能。结果表明，在目标频率范围内，响应幅度可以大大降低。另外，通过使用惰性气体可以感应出反谐振频率和阻带。当采用建议的振荡器来支撑超材料梁结构时，也可以获得出色的能量耗散特性。