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Ferroelectrics Letters Section Volume 42, 2015 - Issue 1-3
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Original Articles

Thickness-shear Modes and Energy Trapping in a Rectangular Piezoelectric Quartz Resonator with Partial Electrodes

Hui ChenPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China
,
Ji WangPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China
,
Jianke DuPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China
&
Jiashi YangPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China;Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, 68588-0526, NE, U.S.A.Correspondence[email protected]
Pages 10-17 | Accepted 31 Mar 2014, Published online: 05 May 2015
 
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Abstract

We analyze thickness-shear vibrations of a rectangular plate of quartz piezoelectric crystal for acoustic wave resonator application. The plate is partially electroded in the central region. The scalar differential equation derived by Tiersten and Smythe is employed. Exact solution for the free vibration resonant frequencies and modes are obtained. Trapped modes with vibrations mainly under the electrodes are found. The results are useful to the understanding and design optimization of crystal resonators.

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