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Two Kinds Equal Frequency Circuits to Achieve Locally Resonant Band Gap of a Circular Plate Attached Alternately by Piezoelectric Unimorphs

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Abstract

A circular thin plate is proposed for vibration attenuation, which is attached alternately by annular piezoelectric unimorphs with resonant shunt circuits. Two kinds of equal frequency resonant shunt circuits are designed to achieve an integrated locally resonant (LR) band gap (BG) with a much smaller transmission factor: (1) the structure is arrayed periodically while the resonant shunt circuits are aperiodic; (2) the resonant shunt circuits are periodic while the structure is aperiodic. The transmission factor curve is calculated, which is validated by the finite element method. Dependences of the LR BG performance upon the geometric and electric parameters are also analyzed.

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, 430074, Wuhan, China

    Longxiang Dai, Hongping Hu & Shan Jiang

  2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Huazhong University of Science and Technology, 430074, Wuhan, China

    Longxiang Dai, Hongping Hu & Shan Jiang

  3. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, 430074, Wuhan, China

    Xuedong Chen

Authors
  1. Longxiang Dai
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  2. Hongping Hu
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  3. Shan Jiang
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  4. Xuedong Chen
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Corresponding author

Correspondence to Hongping Hu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11272126, 51435006, and 51421062), the Fundamental Research Funds for the Central Universities, HUST: 2016JCTD114 and 2015TS121, and the Research Fund for the Doctoral Program of Higher Education of China (No. 20110142120050).

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Dai, L., Hu, H., Jiang, S. et al. Two Kinds Equal Frequency Circuits to Achieve Locally Resonant Band Gap of a Circular Plate Attached Alternately by Piezoelectric Unimorphs. Acta Mech. Solida Sin. 29, 502–513 (2016). https://doi.org/10.1016/S0894-9166(16)30268-3

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30268-3

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