Electro-mechanical coupling properties of band gaps in an elastic/piezoelectric phononic crystal nonlocal nanobeam with periodically attached "spring-mass" resonators

被引:0
|
作者
Zhang, Jian [1 ]
Qian, Deng-hui [1 ]
Ren, Long [2 ]
Wang, Qi [2 ]
机构
[1] Jiangsu Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Zhenjiang 212100, Peoples R China
[2] China Nanhu Acad Elect & Informat Technol, Jiaxing 314000, Peoples R China
基金
中国国家自然科学基金;
关键词
phononic crystal nanobeam; electro-mechanical coupling effect; nonlocal effect; locally resonant mechanism; ELASTIC-WAVES; PROPAGATION; VIBRATION;
D O I
10.1007/s11766-023-4576-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
引用
收藏
页码:429 / 443
页数:15
相关论文
共 14 条
  • [1] Electro-mechanical coupling properties of band gaps in an elastic/piezoelectric phononic crystal nonlocal nanobeam with periodically attached “spring-mass” resonators
    Jian Zhang
    Deng-hui Qian
    Long Ren
    Qi Wang
    Applied Mathematics-A Journal of Chinese Universities, 2023, 38 : 429 - 443
  • [2] Electro-mechanical coupling properties of band gaps in an with periodically attached “spring-mass” resonators
    ZHANG Jian
    QIAN Deng-hui
    REN Long
    WANG Qi
    AppliedMathematics:AJournalofChineseUniversities, 2023, 38 (03) : 429 - 443
  • [3] Electro-mechanical coupling band gaps of a piezoelectric phononic crystal Timoshenko nanobeam with surface effects
    Qian, Denghui
    Wu, Jinghong
    He, Feiyang
    ULTRASONICS, 2021, 109
  • [4] Flexural Wave Band Gaps in an Elastic Metamaterial Beam with Periodically Attached Spring-Mass Resonators
    Miranda, E. J. P., Jr.
    Dos Santos, J. M. C.
    PROCEEDINGS OF ISMA2016 INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING AND USD2016 INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS, 2016, : 2099 - 2113
  • [5] Bandgap properties in locally resonant phononic crystal double panel structures with periodically attached spring-mass resonators
    Qian, Denghui
    Shi, Zhiyu
    PHYSICS LETTERS A, 2016, 380 (41) : 3319 - 3325
  • [6] Tunability of "spring-mass" resonator on band gaps with surface effects of a piezoelectric phononic crystal double-layer nanobeam
    Zou, Peng
    Ren, Long
    Wang, Qi
    Qian, Denghui
    Zhang, Zexin
    Ge, Haoran
    FERROELECTRICS, 2023, 614 (01) : 56 - 69
  • [7] Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects
    Qian, Denghui
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2020, 41 (03) : 425 - 438
  • [8] Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects
    Denghui QIAN
    Applied Mathematics and Mechanics(English Edition), 2020, 41 (03) : 425 - 438
  • [9] Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects
    Denghui Qian
    Applied Mathematics and Mechanics, 2020, 41 : 425 - 438
  • [10] Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonators
    Xiao, Yong
    Wen, Jihong
    Wen, Xisen
    JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2012, 45 (19)