Title :
Three-dimensional analysis of forced piezoelectric vibrations of rectangular AT-cut quartz plates and X-cut LiTaO3 plates
Author :
Sekimoto, Hitoshi ; Soga, Masato ; Goka, Sigeyoshi ; Watanabe, Yasuaki
Author_Institution :
Graduate Sch., Tokyo Metropolitan Univ., Japan
Abstract :
We have developed a method for analyzing 3D forced vibrations of rectangular piezoelectric plates. Since it utilizes only a 2D FEM, the matrix size required is much smaller than that required when using a 3D FEM. The 2D FEM was used to obtain a 2D forced solution satisfying the driving requirement and also to obtain a 3D free solution. The calculated capacitance characteristics of a rectangular AT-cut quartz plate agreed very well with measured data. We also showed a numerical example for a 3° rotated X-cut LiTaO3 plate
Keywords :
crystal resonators; eigenvalues and eigenfunctions; finite element analysis; lithium compounds; quartz; vibrations; 2D FEM; 2D forced solution; 3D forced vibrations; 3D free solution; AT-cut quartz plates; LiTaO3; SiO2; X-cut LiTaO3 plates; capacitance characteristics; driving requirement; eigenfunctions; electric response; forced piezoelectric vibrations; guided waves; rectangular piezoelectric plates; small matrix size; spurious mode; strip resonators; transmission response; Boundary conditions; Differential equations; Electric potential; Electrodes; Finite element methods; Resonance; Resonant frequency; Strips; Surface waves; Voltage;
Conference_Titel :
Frequency Control Symposium and Exhibition, 2000. Proceedings of the 2000 IEEE/EIA International
Conference_Location :
Kansas City, MO
Print_ISBN :
0-7803-5838-4
DOI :
10.1109/FREQ.2000.887389
