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Analytical investigation on piezoelectric shunting circuit for resonance suppression of the nonlinear vibration system

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Abstract

Piezoelectric shunting vibration absorber (PSVA) has attracted considerable attention in recent years. Nonlinearity widely exists in practice although a linear host system is the original design intention. What would happen when the predesigned PSVA under the linear host system assumption is applied to those nonlinear vibration systems? To address this issue, a nonlinear host system with a PSVA is constructed. The nonlinear responses of the electromechanical-coupled system are obtained by using the incremental harmonic balance method. Semi-analytical solutions demonstrate that the predesigned shunting circuit under linear host system assumption does not only work effectively but also makes the stability of the host system worse. To suppress the resonant peak of the host system efficiently, the particle swarm algorithm is applied to determine the proper shunting circuit of the PSVA. The performances of the proper PSVA, such as the suppression effects on the resonant peak, and its influence on the stability of the host system are investigated by numerical examples. Together with the parametric analysis, the tuning rule of the shunting circuit is given which can be the guide in the practical application.

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Acknowledgements

The work was funded by National Natural Science Foundation of China (Grant No. 12072153), the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) Grant No. MCMS-I-0118G01, and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

Funding

National Natural Science Foundation of China, 12072153, Huan He.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Weiting Chen, Xing Tan, Junhan An & Huan He

  2. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Weiting Chen, Xing Tan, Junhan An & Huan He

  3. School of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, 210037, China

    Hanbo Shao

  4. Beijing Institute of Astronautical System Engineering, Beijing, 100076, China

    Deli Liang

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  1. Weiting Chen
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Correspondence to Huan He.

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Chen, W., Tan, X., An, J. et al. Analytical investigation on piezoelectric shunting circuit for resonance suppression of the nonlinear vibration system. Nonlinear Dyn 111, 7083–7103 (2023). https://doi.org/10.1007/s11071-022-08213-9

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