Low Frequency Band Gap and Wave Propagation Properties of a Novel Fractal Hybrid Metamaterial. Issue 11 (2nd August 2022)

• Record Type: Journal Article
• Authors: Cheng, Shu-liang; Yang, Hong-yun; Ding, Qian; Yan, Qun; Sun, Yong-tao; Xin, Ya-jun; Wang, Liang
• Is Part Of: Physica status solidi. Volume 259:Issue 11(2022)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-08-02
• Subjects: broadband -- fractal acoustic metamaterials -- low-frequency band gap -- vibration attenuation; Solid state physics -- Periodicals; Solids -- Periodicals; Atomic structure -- Periodicals; 530.41
• DOI: 10.1002/pssb.202200257
• Languages: English
• ISSNs: 0370-1972

Abstract

Abstract : In order to achieve the attenuation of low‐frequency sound, in this paper, a hybrid metamaterial structure with a complete band gap below 500 Hz is proposed, which is subjected to second‐order fractal, series fusion, and whether the structure is framed or not to form 8 different structures. Based on the finite element method and Bloch's theorem, the bandgap and transport properties of all model structures are evaluated, and the bandgap and propagation properties of metamaterial structures with different fractal levels are elucidated in terms of band structure and group velocity. In addition, the third‐order fractal structure and the dependence of the band gap on the material are also studied. The results show that the structure has a superior band gap width, and the complete band gap of its tandem fusion structure accounts for up to 45.502% in the range of 500 Hz, and the second‐order fractal has a complete band gap of 45.588% in the range of 1000 Hz. Compared with other structures, it can produce lower and better band gap. The research in this paper provides a new strategy for realizing acoustic metamaterial structures with low frequency band gaps. Abstract : The authors propose a hybrid metamaterial structure with a complete band gap below 500 Hz, which is subjected to second‐order fractal, series fusion, and whether the structure is framed or not to form 8 different structures. The complete band gap of its tandem fusion structure accounts for up to 45.502% in the range of 500 Hz.