Effects of non-homogeneous thermal stresses on the frequency-temperature behavior of AT-cut quartz resonators

Yook Kong Yong, Mihir S. Patel, Masako Tanaka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations


The frequency-temperature (f-T) behavior of a quartz resonator can be predicted quite accurately if the resonator crystal is under an ideal stress-free condition. Under such a condition, the steady state temperature change then induces a homogeneous field of thermal strains in the crystal. The ideal thermal stress-free condition is however seldom achieved practically. In practical devices, thermal stresses are often present with temperature changes. We study the effects of non-homogeneous thermal stresses on the f-T behavior of AT-cut quartz resonators by employing a novel method of superposing the results from three existing methods for calculating (1) thermal stresses, (2) acceleration effects, and (3) f-T curves under a homogeneous thermal strain condition. We assume that for a steady state temperature change, the crystal resonator undergoes not only a homogeneous thermal strain field but also a nonhomogeneous thermal stress field. We present numerical results compared with experimental results for an AT-cut quartz resonator mounted on glass. The difference between the thermal expansion coefficients of glass and quartz give rise to the thermal stresses.

Original languageEnglish (US)
Title of host publication2005 IEEE Ultrasonics Symposium
Number of pages4
StatePublished - 2005
Event2005 IEEE Ultrasonics Symposium - Rotterdam, Netherlands
Duration: Sep 18 2005Sep 21 2005

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117


Other2005 IEEE Ultrasonics Symposium

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics


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