（1.College of Information Science and Engineering, Henan University of Technology, Zhengzhou 450001, China) （2.Key Laboratory of Grain Information Processing and Control of the Ministry of Education, Henan University of Technology, Zhengzhou 450001, China) , et al.
Pentamode metamaterial (PM) is a kind of artificial microstructure with a solid structure and the characteristic of “fluid”. Due to the better uncoupling property of compressional and shear waves, lower filling rate, multitudinous lattice structures and more adjustable parameters, it has potential applications in acoustic wave regulation fields, such as acoustic/elastic wave cloak, acoustic waveguide and acoustic metasurface. The PM composed of elemental materials can be regarded as a Bragg scattering phononic crystal, whose operating frequency is in a high-frequency range. However, there are few studies focusing on the PM which regulated the low-frequency acoustic waves. In this paper, the low-frequency acoustic wave tuning methods and research progress of locally resonant PMs are introduced in three aspects. Firstly, the basic concepts and research progress of PMs are expounded. Secondly, the designing and numerical calculation process of locally resonant PMs, band structure and phononic band gaps (PBGs) control methods, sample processing and testing methods are introduced in detail. Finally, the scientific and engineering problems that need to be solved urgently in the research of locally resonant PMs are analyzed and discussed. By this way, it is expected to provide a reference for the research and engineering applications of PMs in the field of low-frequency acoustic control.