{"title":"On the zero frequency bandgap of seismic metamaterials","authors":"Jingyu Luo , Kaiming Bi , Xingbo Pu","doi":"10.1016/j.jsv.2025.119064","DOIUrl":null,"url":null,"abstract":"<div><div>Seismic metamaterials are artificially designed materials within the sub-wavelength range, developed to attenuate low-frequency seismic surface waves. Previous studies revealed that through proper design, a zero-frequency bandgap (ZFBG) can be formed. However, the underlying mechanism for forming the ZFBG has not been well explained so far. Many existing studies attributed it to the collective behavior of the individual unit cells within the metamaterial. In this work, we clarify that the ZFBG is not exclusive to metamaterials. We investigate the mechanism of ZFBG by revisiting two typical designs: clamped barriers and resonant meta-barriers. Through analytical and numerical analyses, we claim that the ZFBG of the former design lies in the cut-off frequency originating from the rigid boundary condition, while the latter design is due to an intrinsic property of having a stiff upper layer atop a soft half-space, which cannot support low-order surface wave modes. This work corrects a misconception in this field and thus could facilitate the understanding, design, and implementation of seismic metamaterials.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"607 ","pages":"Article 119064"},"PeriodicalIF":4.3000,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25001385","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Seismic metamaterials are artificially designed materials within the sub-wavelength range, developed to attenuate low-frequency seismic surface waves. Previous studies revealed that through proper design, a zero-frequency bandgap (ZFBG) can be formed. However, the underlying mechanism for forming the ZFBG has not been well explained so far. Many existing studies attributed it to the collective behavior of the individual unit cells within the metamaterial. In this work, we clarify that the ZFBG is not exclusive to metamaterials. We investigate the mechanism of ZFBG by revisiting two typical designs: clamped barriers and resonant meta-barriers. Through analytical and numerical analyses, we claim that the ZFBG of the former design lies in the cut-off frequency originating from the rigid boundary condition, while the latter design is due to an intrinsic property of having a stiff upper layer atop a soft half-space, which cannot support low-order surface wave modes. This work corrects a misconception in this field and thus could facilitate the understanding, design, and implementation of seismic metamaterials.
期刊介绍:
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.