Thickness-shear vibration of a rectangular quartz plate with partial electrodes

Huijing He; Jiashi Yang; John A. Kosinski; Ji Wang

doi:10.1016/S0894-9166(13)60012-9

Thickness-shear vibration of a rectangular quartz plate with partial electrodes

Huijing He, Jiashi Yang, John A. Kosinski, Ji Wang

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The effects of the electrode size and thickness on the trapped modes are examined.

Original language	English (US)
Pages (from-to)	121-128
Number of pages	8
Journal	Acta Mechanica Solida Sinica
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/S0894-9166(13)60012-9
State	Published - Apr 2013
Externally published	Yes

Bibliographical note

Funding Information:
★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Natural Science Foundation of China (No. 10932004), the Doctoral Program Fund of the Ministry of Education of China (No. 20093305110003), the K. C. Wong Magna Fund of Ningbo University and the U.S. Army Research Office (No. W911NF-10-1-0293).

Keywords

crystal
plate
three-dimensional effect
vibration
wave

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10.1016/S0894-9166(13)60012-9

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title = "Thickness-shear vibration of a rectangular quartz plate with partial electrodes",

abstract = "We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The effects of the electrode size and thickness on the trapped modes are examined.",

keywords = "crystal, plate, three-dimensional effect, vibration, wave",

author = "Huijing He and Jiashi Yang and Kosinski, {John A.} and Ji Wang",

note = "Funding Information: ★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Natural Science Foundation of China (No. 10932004), the Doctoral Program Fund of the Ministry of Education of China (No. 20093305110003), the K. C. Wong Magna Fund of Ningbo University and the U.S. Army Research Office (No. W911NF-10-1-0293).",

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TY - JOUR

T1 - Thickness-shear vibration of a rectangular quartz plate with partial electrodes

AU - He, Huijing

AU - Yang, Jiashi

AU - Kosinski, John A.

AU - Wang, Ji

N1 - Funding Information: ★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Natural Science Foundation of China (No. 10932004), the Doctoral Program Fund of the Ministry of Education of China (No. 20093305110003), the K. C. Wong Magna Fund of Ningbo University and the U.S. Army Research Office (No. W911NF-10-1-0293).

PY - 2013/4

Y1 - 2013/4

N2 - We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The effects of the electrode size and thickness on the trapped modes are examined.

AB - We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The effects of the electrode size and thickness on the trapped modes are examined.

KW - crystal

KW - plate

KW - three-dimensional effect

KW - vibration

KW - wave

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DO - 10.1016/S0894-9166(13)60012-9

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SN - 0894-9166

VL - 26

SP - 121

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JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

IS - 2

ER -

Thickness-shear vibration of a rectangular quartz plate with partial electrodes

Abstract

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