Eigenfrequencies spectrum of a convex piezoelectric plate of an arbitrary shape

Author

Nedorezov, S.S. ; Shmaliy, O.Yu.

Author_Institution

Ukrainian Eng.-Pedagogical Acad., Kharkov

Volume

2

fYear

2003

fDate

16-20 Sept. 2003

Firstpage

219

Abstract

In this paper the eigenvibrations of a convex piezoelectric plate of an arbitrary shape is analysed. It is shown that the frequency spectrum is determined by the curvature of the boundary surface at the point of a maximum. The formula is derived for the eigenfrequencies of the vibrations, assuming arbitrary orientation of the direction of major curvature of a surface with respect to the self axes of a piezoelectric plate. It is noticed that anisotropy of the piezoelectric surface affects essentially the frequency spectrum that may be used to optimize the resonator performance

Keywords

crystal resonators; eigenvalues and eigenfunctions; optimisation; spectral analysis; boundary surface curvature; convex piezoelectric plate eigenvibrations; eigenfrequencies spectrum; frequency spectrum; piezoelectric surface anisotropy; resonator performance optimisation; Anisotropic magnetoresistance; Crystalline materials; Differential equations; Eigenvalues and eigenfunctions; Frequency; Mathematical model; Sensor systems; Shape; Taylor series; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Optoelectronics and Lasers, 2003. Proceedings of CAOL 2003. First International Conference on

Conference_Location

Alushta, Crimea

Print_ISBN

0-7803-7948-9

Type

conf

DOI

10.1109/CAOL.2003.1251316

Filename

1251316