Many advanced physical properties can be realized by using well-designed acoustic metamaterial (AM) structures, which have significant application value in engineering. In particular, thin-walled membrane, plate, and shell-type structures with deep subwavelength thicknesses that can meet light weight requirements have attracted the attention of many researchers and engineers from various specialized fields. This Tutorial systematically introduced the structural design methods, acoustic/elastic wave attenuation and regulation principles, and engineering applications of thin-walled AMs for low-frequency sound insulation, sound absorption, and vibration reduction. In particular, the design methods and sound insulation/absorption properties of thin-walled AMs for realizing narrow-band and broadband sound attenuation were explored. Furthermore, the local resonance bandgap characteristics, quantitative extraction method for the bending wave bandgap, vibration suppression properties, and the design method for local resonance vibration dampers for elastic wave regulation by thin-walled elastic metamaterials were summarized successively. Moreover, other thin-walled AM applications, such as the wavefront steering performance of thin-walled acoustic/elastic metasurfaces, and the active thin-walled AMs, were introduced as well.

中文翻译：

---

薄壁膜和板式声/弹性超材料的结构设计、原理及应用

通过使用精心设计的声学超材料（AM）结构可以实现许多先进的物理特性，在工程中具有重要的应用价值。特别是能够满足轻量化要求的亚波长厚度较深的薄壁膜、板和壳型结构引起了众多专业领域的研究人员和工程师的关注。本教程系统介绍了薄壁增材制造在低频隔声、吸声、减振方面的结构设计方法、声/弹波衰减与调节原理以及工程应用。特别是探索了实现窄带和宽带声衰减的薄壁 AMs 的设计方法和隔声/吸声性能。此外，先后总结了局部共振带隙特性、弯曲波带隙定量提取方法、振动抑制特性以及薄壁弹性超材料弹性波调节的局部共振减振器设计方法。此外，还介绍了其他薄壁 AM 应用，例如薄壁声学/弹性超表面的波前转向性能和有源薄壁 AM。