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Analysis of the electrically forced vibrations of piezoelectric mesa resonators |
| He Hui-Jing (何慧晶)a b, Nie Guo-Quan (聂国权)a, Liu Jin-Xi (刘金喜)a, Yang Jia-Shi (杨嘉实)b |
a Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
b Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, USA |
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Abstract 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.
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Received: 13 January 2013
Revised: 25 January 2013
Accepted manuscript online:
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PACS:
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77.65.Fs
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(Electromechanical resonance; quartz resonators)
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77.65.-j
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(Piezoelectricity and electromechanical effects)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11272222) and the National Key Basic Research Program of China (Grant No. 2012CB723300). |
Corresponding Authors:
Yang Jia-Shi
E-mail: jyang1@unl.edu
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Cite this article:
He Hui-Jing (何慧晶), Nie Guo-Quan (聂国权), Liu Jin-Xi (刘金喜), Yang Jia-Shi (杨嘉实) Analysis of the electrically forced vibrations of piezoelectric mesa resonators 2013 Chin. Phys. B 22 087704
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