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

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Abstract

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.

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Authors and Affiliations

  1. School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, China

    Jian Zhang & Deng-hui Qian

  2. China Nanhu Academy of Electronics and Information Technology, Jiaxing, 314000, China

    Long Ren & Qi Wang

Authors
  1. Jian Zhang
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  2. Deng-hui Qian
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  3. Long Ren
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  4. Qi Wang
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Correspondence to Deng-hui Qian.

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Conflict of interest The authors declare no conflict of interest.

Additional information

This research was 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(SJCX22_1961).

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Zhang, J., Qian, Dh., Ren, L. et al. Electro-mechanical coupling properties of band gaps in an elastic/piezoelectric phononic crystal nonlocal nanobeam with periodically attached “spring-mass” resonators. Appl. Math. J. Chin. Univ. 38, 429–443 (2023). https://doi.org/10.1007/s11766-023-4576-0

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  • DOI: https://doi.org/10.1007/s11766-023-4576-0

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