多孔压电分流超材料及其带隙特性研究  

Study on bandgap characteristics of porous piezoelectric shunt metamaterials

作　　者：肖峰 张红艳[1] 郭少杰 白长青[3] Xiao Feng;Zhang Hongyan;Guo Shaojie;Bai Changqing(School of Science,Chang’an University,Xi’an 710061,China;State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi’an Jiaotong University,710049,Xi’an,China;Shaanxi Key Laboratory of Environment and Control for Flight Vehicle,Xi’an Jiaotong University,710049,Xi’an,China)

机构地区：[1]长安大学理学院,西安710061 [2]西安交通大学机械结构强度与振动国家重点实验室,西安710049 [3]西安交通大学陕西省先进飞行器服役环境与控制重点实验室,西安710049

出　　处：《应用力学学报》2021年第1期136-142,共7页Chinese Journal of Applied Mechanics

摘　　要：设计了一种新型多孔压电分流超材料构型,以单、双孔元胞构型为例,研究了其带隙特性和有限周期振动传递特性,并与未开孔压电分流超材料板进行了对比分析。计算结果表明:与未开孔压电超材料相比,两种构型在低频处的压电局域共振带隙频率更低,带宽变窄,且均会在高频范围内出现额外带隙,随着孔宽δ的增大,额外带隙数量逐渐增多;对应特定的孔宽δ的两种元胞构型均产生带宽大于1kHz的超宽带隙。该构型结合了压电分流超材料和声子晶体的特点,与传统未开孔压电分流超材料相比,具备低频和高频同时抑振的特性。A new porous piezoelectric shunt metamaterial is proposed in this paper. Compared with the traditional piezoelectric shunt metamaterials, it has characteristics of vibration suppression at both low and high frequencies. Taking the single-pore unit-cell and double-pores unit-cell as examples, the band gap characteristics and finite periodic vibration transmission characteristics are studied. The results show that the two configurations have lower piezoelectric local resonance bandgap frequencies and narrower bandwidths. Furthermore, additional band gaps will appear in the high frequency range, and as the hole width δ increases, the number of additional band gaps gradually increases. Corresponding to a specific hole width δ, both cell configurations produce ultra wide bandgaps whose bandwidths greater than 1 kHz. This new configuration combines the characteristics of piezoelectric shunt metamaterials and phononic crystals. The research results provide a theoretical reference for the design of piezoelectric shunt metamaterials.

关 键 词：压电分流超材料 能带结构 带隙特性 有限元法 

分 类 号：TH113[机械工程—机械设计及理论] O48[理学—固体物理]