Effects of initial nonlinear strains and nonlinear elastic constants in force-frequency and acceleration sensitivity of quartz resonators

Yook Kong Yong, Jianfeng Chen

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

2 Scopus citations

Abstract

The acceleration sensitivity and its related problem of force-frequency in quartz resonators were studied. We studied the effects of initial nonlinear strains versus the effects of nonlinear elastic constants on the force-frequency problem of quartz resonators subjected to bending forces. We found that for quartz thickness shear resonators subjected to bending, the force frequency effect could be described primarily by the effects of nonlinear elastic constants with negligible effects from initial nonlinear strains. Since the acceleration sensitivity of quartz resonators is due mainly to bending forces, we proposed a set of simplified equations for these problems which were easier to implement in commercial finite element software.

Original languageEnglish (US)
Title of host publication2016 IEEE International Frequency Control Symposium, IFCS 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509020911
DOIs
StatePublished - Aug 16 2016
Event70th IEEE International Frequency Control Symposium, IFCS 2016 - New Orleans, United States
Duration: May 9 2016May 12 2016

Publication series

Name2016 IEEE International Frequency Control Symposium, IFCS 2016 - Proceedings

Other

Other70th IEEE International Frequency Control Symposium, IFCS 2016
CountryUnited States
CityNew Orleans
Period5/9/165/12/16

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Instrumentation

Keywords

  • AT- and SC-cut quartz plates
  • acceleration sensitivity
  • force-frequency effects
  • initial nonlinear strains
  • nonlinear 3rd order elastic constants
  • quartz resonators

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