Stress-Induced Frequency Shifts of Degenerate Thickness-Shear Modes in Rotated Y-Cut Quartz Resonators

John A. Kosinski; Robert A. Pastore; Jiashi Yang; Xiaomeng Yang; Joseph A. Turner

doi:10.1109/TUFFC.2010.1628

Stress-Induced Frequency Shifts of Degenerate Thickness-Shear Modes in Rotated Y-Cut Quartz Resonators

John A. Kosinski, Robert A. Pastore, Jiashi Yang, Xiaomeng Yang, Joseph A. Turner

Mechanical & Materials Engineering

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

8 Scopus citations

Abstract

We study stress-induced frequency shifts in a rotated Y-cut quartz resonator (θ = 23.7°) with degenerate fundamental thickness-shear modes when the biasing stress is not present. Using the recently derived perturbation procedure for degenerate frequencies in crystal resonators, we show that when a planar stress system is applied, the degenerate frequency splits into two. This phenomenon is expected to be typical for degenerate frequencies in crystal resonators and may be responsible in part for the jump discontinuities in frequency temperature curves and other frequency jump phenomena.

Original language	English (US)
Pages (from-to)	1880-1883
Number of pages	4
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	57
Issue number	8
DOIs	https://doi.org/10.1109/TUFFC.2010.1628
State	Published - Aug 2010

ASJC Scopus subject areas

Instrumentation
Acoustics and Ultrasonics
Electrical and Electronic Engineering

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AU - Yang, Xiaomeng

AU - Turner, Joseph A.

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AB - We study stress-induced frequency shifts in a rotated Y-cut quartz resonator (θ = 23.7°) with degenerate fundamental thickness-shear modes when the biasing stress is not present. Using the recently derived perturbation procedure for degenerate frequencies in crystal resonators, we show that when a planar stress system is applied, the degenerate frequency splits into two. This phenomenon is expected to be typical for degenerate frequencies in crystal resonators and may be responsible in part for the jump discontinuities in frequency temperature curves and other frequency jump phenomena.

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Stress-Induced Frequency Shifts of Degenerate Thickness-Shear Modes in Rotated Y-Cut Quartz Resonators

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