Abstract
An equation for the resonant frequencies of a thin anisotropic circular disk is obtained assuming exponential particular solutions. The roots of the equation are determined numerically. The resonant frequencies of two piezoelectric crystals are computed and compared with the resonant frequencies when the piezoelectric effect is not taken into account.
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References
L. B. Obodovskii, V. I. Storozhev, and V. I. Chernik, "Dynamical stresses in anisotropic crystalline cylinders," Teor. Prikl. Mekh., No. 13, 132–135, Donetsk (1982).
A. S. Kosmodamianskii and V. I. Chernik, "Diffraction of elastic waves by piezoelectric inclusions in multiplyconnected media," Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 1, 49–52 (1984).
B. A. Kudryavtsev, "Mechanics of piezoelectric materials," Itogi Nauki i Tekhniki, Ser. Mekh. Def. Tverd. Tela,11, 5–65 (1978).
G. S. Belikova, Yu. V. Pisarevskii, and I. M. Sil'vestrova, "Piezoelectric and elastic properties of biphthalate rubidium crystals," Kristallografia,19, No. 4, 878–879 (1974).
L. M. Belyaev, G. S. Belikova, and A. B. Gil'varg, et al., "Growth of biphthalate potassium crystals and their optical, piezoelectric, and elastic properties," Kristallografia,14, No. 4, 645–651 (1969).
Additional information
Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 72–74, 1990.
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Chernik, V.I. Determination of the resonant frequencies of an anisotropic piezoelectric disk. J Math Sci 68, 685–687 (1994). https://doi.org/10.1007/BF01249404
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DOI: https://doi.org/10.1007/BF01249404