Abstract Metamaterials are an emerging type of man-made material capable of obtaining some extraordinary properties that cannot be realized by naturally occurring materials. Due to tremendous application foregrounds in wave manipulations, metamaterials have gained more and more attraction. Especially, developing research interest of low-frequency vibration attenuation using metamaterials has emerged in the past decades. To better understand the fundamental principle of opening low-frequency (below 100 Hz) band gaps, a general view on the existing literature related to low-frequency band gaps is presented. In this review, some methods for fulfilling low-frequency band gaps are firstly categorized and detailed, and then several strategies for tuning the low-frequency band gaps are summarized. Finally, the potential applications of this type of metamaterial are briefly listed. This review is expected to provide some inspirations for realizing and tuning the low-frequency band gaps by means of summarizing the related literature. 

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A brief review of metamaterials for opening low-frequency band gaps

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A Reinvestigation of the Spring-Mass Model for Metamaterial Bandgap Prediction

Wider bandgap and band merging phenomena in simultaneous negative mass and stiffness metamaterial were reported and studied previously. In this letter, an additional feature, namely double attenuation peak, of simultaneous negative mass and stiffness metamaterial has been identified. The generation of double attenuation peaks is hinged upon the resonance coupling of longitudinal and transverse resonator. Double attenuation peaks ensure a significant level of spatial attenuation throughout the attenuation band. 

Zhiyong Yang

Papers

Bandgap characteristics and wave attenuation of metamaterials based on negative-stiffness dynamic vibration absorbers