Analytical determination of characteristic frequencies and equivalent circuit parameters of a piezoelectric bimorph

W. Al-Ashtari, M. Hunstig, T. Hemsel, W. Sextro, Journal of Intelligent Material Systems and Structures 23 (2012) 15–23.

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Abstract
Piezoelectric structures are nowadays used in many different applications. A better understanding of the influence of material properties and geometrical design on the performance of these structures helps to develop piezoelectric structures specifically designed for their application. Different equivalent circuits have been introduced in the literature to investigate the behaviour of piezoelectric transducers. The model parameters are usually determined from measurements covering the characteristic frequencies of the piezoelectric transducer. This article introduces an analytical technique for calculating the mechanical and electrical equivalent system parameters and characteristic frequencies based on material properties and geometry for a cantilever bimorph structure. The model is validated by measurements using a cantilever bimorph and fits the experimental results better than previous models. The model gives a full set of piezoelectric transducer parameters and is therefore well suited for further theoretical investigations of piezoelectric transducers for different applications. The results also show that even small manufacturing tolerances have a considerable effect on the system parameters and characteristic frequencies. This might lead to intolerable deviations, especially in dynamic applications and should be avoided by careful design and production.
Publishing Year
Journal Title
Journal of Intelligent Material Systems and Structures
Volume
23
Issue
1
Page
15-23
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Al-Ashtari W, Hunstig M, Hemsel T, Sextro W. Analytical determination of characteristic frequencies and equivalent circuit parameters of a piezoelectric bimorph. Journal of Intelligent Material Systems and Structures. 2012;23(1):15-23. doi:10.1177/1045389X11430742
Al-Ashtari, W., Hunstig, M., Hemsel, T., & Sextro, W. (2012). Analytical determination of characteristic frequencies and equivalent circuit parameters of a piezoelectric bimorph. Journal of Intelligent Material Systems and Structures, 23(1), 15–23. https://doi.org/10.1177/1045389X11430742
@article{Al-Ashtari_Hunstig_Hemsel_Sextro_2012, title={Analytical determination of characteristic frequencies and equivalent circuit parameters of a piezoelectric bimorph}, volume={23}, DOI={10.1177/1045389X11430742}, number={1}, journal={Journal of Intelligent Material Systems and Structures}, author={Al-Ashtari, Waleed and Hunstig, Matthias and Hemsel, Tobias and Sextro, Walter}, year={2012}, pages={15–23} }
Al-Ashtari, Waleed, Matthias Hunstig, Tobias Hemsel, and Walter Sextro. “Analytical Determination of Characteristic Frequencies and Equivalent Circuit Parameters of a Piezoelectric Bimorph.” Journal of Intelligent Material Systems and Structures 23, no. 1 (2012): 15–23. https://doi.org/10.1177/1045389X11430742.
W. Al-Ashtari, M. Hunstig, T. Hemsel, and W. Sextro, “Analytical determination of characteristic frequencies and equivalent circuit parameters of a piezoelectric bimorph,” Journal of Intelligent Material Systems and Structures, vol. 23, no. 1, pp. 15–23, 2012.
Al-Ashtari, Waleed, et al. “Analytical Determination of Characteristic Frequencies and Equivalent Circuit Parameters of a Piezoelectric Bimorph.” Journal of Intelligent Material Systems and Structures, vol. 23, no. 1, 2012, pp. 15–23, doi:10.1177/1045389X11430742.

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