Title :
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
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;
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
DOI :
10.1109/CAOL.2003.1251316
