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Analytical modeling and experimental validation of a butterfly-shaped piezoelectric composite transducer

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Abstract

This paper presents an analytical model of a butterfly-shaped piezoelectric composite transducer. The vibration model of the transducer is firstly established based on the lateral and longitudinal deformations of the uniform and variable cross-sectional beams. Next, the electromechanical coupling model of the transducer is derived according to the vibration model. Then, the results of the derived model are presented, both the influence of the length of the rear-end block and the height of the cross beam are discussed based on the analytical model. Finally, an experimental prototype of the transducer is fabricated. The vibration modes and impedance characteristics of the transducer are, respectively, tested by using a laser Doppler vibro-meter, and an impedance analyzer and the testing results validate the proposed analytical model. The experimental results show that the relative errors of the analytical model are 2.253% and 2.230%, and the relative errors of the effective electromechanical coupling coefficients were 8.826% and 8.203%. In addition, the mode shapes of the analytical model are in good agreement with the experiment results.

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Acknowledgements

This work was supported by the National Natural Sciences Foundation of China (No. 51975282).

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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

    Yuyang Lin, Yunlai Shi, Haichao Sun & Han Sun

  2. College of Mechanical and Electronic Engineering, Northwest A&F University, Yangling, 712100, China

    Jun Zhang

  3. Institute of Electrical and Mechanical Engineering, Pingdingshan University, Pingdingshan, 467000, China

    Haichao Sun

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  1. Yuyang Lin
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  2. Yunlai Shi
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  3. Jun Zhang
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  4. Haichao Sun
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  5. Han Sun
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Correspondence to Yuyang Lin or Yunlai Shi.

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Lin, Y., Shi, Y., Zhang, J. et al. Analytical modeling and experimental validation of a butterfly-shaped piezoelectric composite transducer. Arch Appl Mech 92, 1695–1709 (2022). https://doi.org/10.1007/s00419-022-02133-1

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