ABSTRACT

Hierarchical periodic elastic metamaterial beams which can enhance the band-gap properties are designed by effectively combining the Bragg-scattering and locally resonant mechanisms. The frequency responses of the hierarchical periodic elastic metamaterial beams are calculated using the spectral element method (SEM). The correctness and feasibility of the present numerical method are verified by the vibration experiment. It is found that the design of the hierarchical periodicity can obtain more and broader band-gaps because the Bragg-scattering and locally resonant band-gaps can be generated simultaneously. The present results can provide a useful aid for the vibration reduction design of the elastic metamaterial structures in multi-frequency ranges.

摘要

通过有效地结合布拉格散射和局部共振机制，设计了可以增强带隙特性的分层周期性弹性超材料光束。使用谱元法 (SEM) 计算分级周期性弹性超材料梁的频率响应。通过振动实验验证了本数值方法的正确性和可行性。研究发现，分层周期性的设计可以获得更多和更宽的带隙，因为布拉格散射和局部共振带隙可以同时产生。本研究结果可为弹性超材料结构在多频率范围内的减振设计提供有用的帮助。