Energy trapping of thickness-shear and thickness-twist modes in a partially electroded AT-cut quartz resonator

Huijing He; Guoquan Nie; Jinxi Liu; Jiashi Yang

doi:10.1016/S0894-9166(12)60053-6

Energy trapping of thickness-shear and thickness-twist modes in a partially electroded AT-cut quartz resonator

Huijing He, Guoquan Nie, Jinxi Liu, Jiashi Yang

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7 Scopus citations

Abstract

The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c₅₆. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.

Original language	English (US)
Pages (from-to)	579-585
Number of pages	7
Journal	Acta Mechanica Solida Sinica
Volume	25
Issue number	6
DOIs	https://doi.org/10.1016/S0894-9166(12)60053-6
State	Published - Dec 2012
Externally published	Yes

Bibliographical note

Funding Information:
★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Nature Science Foundation of China (No. 10972147) and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971).

Keywords

quartz crystal
resonator
thickness-shear vibration
thickness-twist vibration

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10.1016/S0894-9166(12)60053-6

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abstract = "The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.",

keywords = "quartz crystal, resonator, thickness-shear vibration, thickness-twist vibration",

author = "Huijing He and Guoquan Nie and Jinxi Liu and Jiashi Yang",

note = "Funding Information: ★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Nature Science Foundation of China (No. 10972147) and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971).",

year = "2012",

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doi = "10.1016/S0894-9166(12)60053-6",

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T1 - Energy trapping of thickness-shear and thickness-twist modes in a partially electroded AT-cut quartz resonator

AU - He, Huijing

AU - Nie, Guoquan

AU - Liu, Jinxi

AU - Yang, Jiashi

N1 - Funding Information: ★ Corresponding author. E-mail: [email protected] ★★ Project supported by the National Nature Science Foundation of China (No. 10972147) and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971).

PY - 2012/12

Y1 - 2012/12

N2 - The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.

AB - The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.

KW - quartz crystal

KW - resonator

KW - thickness-shear vibration

KW - thickness-twist vibration

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U2 - 10.1016/S0894-9166(12)60053-6

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SN - 0894-9166

VL - 25

SP - 579

EP - 585

JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

IS - 6

ER -

Energy trapping of thickness-shear and thickness-twist modes in a partially electroded AT-cut quartz resonator

Abstract

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