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Frequency shifts in a laterally finite piezoelectric resonator loaded with a viscous liquid layer of finite size

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Abstract

The free shear vibration in a laterally finite piezoelectric plate loaded with a viscous liquid layer of finite size is investigated in this paper. Considering the lateral edge effect and segmented boundary condition at the solid–liquid interface, a new theoretical solution is obtained using the Fourier series, from which the resonant frequencies and mode shapes are calculated and examined. The convergence of the solution is verified, and the correctness is proved by the finite element method. The results reveal that the vibration in the central part of the sensor decays into lateral boundaries and the liquid layer when contacting with liquid, resulting in a decrease in frequency and an increase in attenuation. Moreover, the effects of liquid thickness, length, viscosity and density on resonant frequency are quantified, which are expected to provide useful data and guidelines for liquid sensor design and development.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (12061131013, 11972276, 12172171 and 12211530064), the State Key Laboratory of Mechanics and Control of Mechanical Structures at NUAA (No. MCMS-I-0522G01), the Fundamental Research Funds for the Central Universities (NS2022011 and NE2020002), National Natural Science Foundation of Jiangsu Province (BK20211176), Local Science and Technology Development Fund Projects Guided by the Central Government (2021Szvup061), Jiangsu High-Level Innovative and Entrepreneurial Talents Introduction Plan (Shuangchuang Doctor Program, JSSCBS20210166), the Start-up Fund supported by NUAA and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD). Prof. Iren Kuznetsova and Dr. Smirnov thank Russian Ministry of Science and Higher Education (government task).

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Authors and Affiliations

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

    Xueli Zhao, Feng Zhu, Peng Li & Zhenghua Qian

  2. College of General Aviation and Flight, Nanjing University of Aeronautics and Astronautics, Liyang, 213300, Jiangsu, China

    Feng Zhu

  3. Nanjing University of Aeronautics and Astronautics Shenzhen Research Institute, Shenzhen, 518057, China

    Peng Li & Zhenghua Qian

  4. Kotel’nikov Institute of Radio Engineering and Electronics of RAS, Moscow, Russia, 125009

    Iren Kuznetsova & Andrey Smirnov

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  1. Xueli Zhao
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  2. Feng Zhu
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  3. Peng Li
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  4. Zhenghua Qian
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Correspondence to Zhenghua Qian.

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Zhao, X., Zhu, F., Li, P. et al. Frequency shifts in a laterally finite piezoelectric resonator loaded with a viscous liquid layer of finite size. Acta Mech 234, 1421–1436 (2023). https://doi.org/10.1007/s00707-022-03440-y

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  • DOI: https://doi.org/10.1007/s00707-022-03440-y

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