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The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches

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Abstract

By considering electromechanical coupling, a unified dynamic model of the cylindrical shell with the piezoelectric shunt damping patch (PSDP) is created. The model is universal and can simulate the vibration characteristic of the shell under different states including the states in which PSDP cannot be connected, partially connected, and completely connected to the shunt circuit. The equivalent loss factor and elastic modulus with frequency dependence are proposed to consider the electrical damping effect of resistance shunt circuits. Moreover, the semi-analytical dynamic equation of the cylindrical shell with PSDP is derived by the Lagrange equation. An experimental test is carried out on the cylindrical shell with PSDP to verify the vibration suppression ability of PSDP on the cylindrical shell and the correctness of the proposed model. Furthermore, the parameter analysis shows that determining the appropriate resistance value in the shunt circuit can achieve a good vibration suppression effect.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Dongxu Du, Jun Yang, Wei Sun, Hongwei Ma & Kunpeng Xu

  2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems of Ministry of Education of China, Northeastern University, Shenyang, 110819, China

    Dongxu Du, Jun Yang, Wei Sun, Hongwei Ma & Kunpeng Xu

Authors
  1. Dongxu Du
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  2. Jun Yang
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  3. Wei Sun
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  4. Hongwei Ma
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  5. Kunpeng Xu
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Correspondence to Wei Sun.

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Conflict of interest The authors declare no conflict of interest.

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Project supported by the National Natural Science Foundation of China (No. 12272087)

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Du, D., Yang, J., Sun, W. et al. The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches. Appl. Math. Mech.-Engl. Ed. 44, 1675–1700 (2023). https://doi.org/10.1007/s10483-023-3034-7

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  • DOI: https://doi.org/10.1007/s10483-023-3034-7

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