Force frequency effects in third overtone thickness shear quartz resonators

Jianfeng Chen, Yook Kong Yong

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

1 Scopus citations

Abstract

The behavior of vibrating crystal plates under the action of external forces was studied. The plates were respectively subjected to diametrical compression force and bending force in different configurations: (a) a clamped cantilever, (b) a cantilever with displaced knife edges, and (c) a dual support mounting with displaced knife edge applied midway between. Finite element models were developed using the theory of small deformations superposed on finite initial deformations in Lagrangian formulation. The model results compared well with the experimental results by Mingins, Ballato, et. al., [3, 4]. For the AT-cut plate, the azimuth Ψ angles of frequency insensitivity due to compressional force were found at Ψ∼65° and 115°. For the plate bending in a clamped cantilever configuration a W-shaped plot of negative frequency deviations was observed when Ψ was varied from 0° to 180°, while the maximum positive frequency deviations occurred at Ψ∼270°. For the plate bending of cantilever with displaced knife edges, the results were similar to the plate bending in a clamped cantilever configuration. For the plate bending of dual support mounting with displaced knife edge applied in midway, the results for Ψ = 0° to 180° were very similar to Ψ = 180° to 360°. By searching out the effects of frequency deviations, optimal angles can be obtained to minimize or eliminate them.

Original languageEnglish (US)
Title of host publication2017 IEEE International Ultrasonics Symposium, IUS 2017
PublisherIEEE Computer Society
ISBN (Electronic)9781538633830
DOIs
StatePublished - Oct 31 2017
Event2017 IEEE International Ultrasonics Symposium, IUS 2017 - Washington, United States
Duration: Sep 6 2017Sep 9 2017

Publication series

NameIEEE International Ultrasonics Symposium, IUS
ISSN (Print)1948-5719
ISSN (Electronic)1948-5727

Other

Other2017 IEEE International Ultrasonics Symposium, IUS 2017
Country/TerritoryUnited States
CityWashington
Period9/6/179/9/17

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Keywords

  • 3rd overtone thickness shear quartz resonator
  • Acceleration sensitivity
  • Force-frequency effect
  • Nonlinear effects

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