Electro-mechanical coupling properties of band gaps in an with periodically attached “spring-mass” resonators  

作　　者：ZHANG Jian QIAN Deng-hui REN Long WANG Qi 

机构地区：[1]School of Naval Architecture&Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang 212100,China [2]China Nanhu Academy of Electronics and Information Technology,Jiaxing 314000,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2023年第3期429-443,共15页高校应用数学学报（英文版）（B辑）

基　　金：supported by the National Natural Science Foundation of China(51979130,11847009);the Young Elite Scientists Sponsorship Program by CAST(2022QNRC001);the Natural Science Foundation of Jiangsu Higher Education Institutions of China(22KJB580005);the Postgraduate Research&Practice Innovation Program of Jiangsu Province(SJCX221961)。

摘　　要：The model of a locally resonant (LR) epoxy/PZT-4 phononic crystal (PC)nanobeam with “spring-mass” resonators periodically attached to epoxy is proposed. The corresponding band structures are calculated by coupling Euler beam theory, nonlocal piezoelectricity theory and plane wave expansion (PWE) method. Three complete band gaps with the widest total width less than 10GHz can be formed in the proposed nanobeam by comprehensively comparing the band structures of three kinds of LR PC nanobeams with resonators attached or not. Furthermore, influencing rules of the coupling fields between electricity and mechanics,“spring-mass” resonator, nonlocal effect and different geometric parameters on the first three band gaps are discussed and summarized. All the investigations are expected to be applied to realize the active control of vibration in the region of ultrahigh frequency.

关 键 词：phononic crystal nanobeam electro-mechanical coupling effect nonlocal effect locally resonant mechanism 

分 类 号：TN751.2[电子电信—电路与系统] TB383.1[一般工业技术—材料科学与工程]