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]

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

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

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