Analysis of the electrically forced vibrations of piezoelectric mesa resonators

被引:1
|
作者
He Hui-Jing [1 ,2 ]
Nie Guo-Quan [1 ]
Liu Jin-Xi [1 ]
Yang Jia-Shi [2 ]
机构
[1] Shijiazhuang Tiedao Univ, Dept Engn Mech, Shijiazhuang 050043, Peoples R China
[2] Univ Nebraska, Dept Mech & Mat Engn, Lincoln, NE 68588 USA
基金
中国国家自然科学基金;
关键词
crystal; plate; resonance; resonator; THICKNESS VIBRATIONS; QUARTZ PLATES; SHEAR;
D O I
10.1088/1674-1056/22/8/087704
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the electrically forced thickness-shear and thickness-twist vibrations of stepped thickness piezoelectric plate mesa resonators made of polarized ceramics or 6-mm class crystals. A theoretical analysis based on the theory of piezoelectricity is performed, and an analytical solution is obtained using the trigonometric series. The electrical admittance, resonant frequencies, and mode shapes are calculated, and strong energy trapping of the modes is observed. Their dependence on the geometric parameters of the resonator is also examined.
引用
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页数:6
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