Temperature‐induced frequency shifts in quartz resonators
作者:
J. P. Valentin,
G. The´obald,
J. J. Gagnepain,
期刊:
Journal of Applied Physics
(AIP Available online 1985)
卷期:
Volume 58,
issue 3
页码: 1388-1396
ISSN:0021-8979
年代: 1985
DOI:10.1063/1.336112
出版商: AIP
数据来源: AIP
摘要:
The thermal exchanges in a quartz crystal resonator are investigated. This leads to a temperature gradient distribution which is in the main plane of the crystal, and therefore does not exhibit any functional dependence (at least at the first order) along the plate thickness. Internal heat source due to the energy dissipation by the internal friction is considered. The corresponding in‐plane thermal stresses are calculated in the isotropic approximation, and anisotropy is introduced by means of the stress‐strain relations. Applying a perturbation method, the resulting frequency shifts are obtained for both static and dynamic thermal behaviors.
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