Special Nonlinear Effects of the Harmonic 3rd Overtone Thickness-Shear Mode on its Fundamental Mode in F-3F Modal Interactions and Drive Level Dependency

Yook Kong Yong, Xiangnan Pang, Ji Wang

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

2 Scopus citations

Abstract

Previous papers and experiments have well documented the drive level dependency in a single mode. The parameters governing drive level dependency in quartz resonators however are still not well understood. We show in this paper the nonlinear interactions of the 3rdovertone of thickness shear (f3) mode and the fundamental thickness shear mode (f1) on the drive level dependency of a quartz resonator. We have developed a finite element program/model for nonlinear frequency responses of f-2f-3f modal interactions and drive level dependency in quartz resonators. Our model results compared well with the measured results in quartz 33-MHz fundamental mode AT-cut and SC-cut resonators for which the fundamental mode and third overtone mode frequencies were closely matched by design. The fundamental mode interacted nonlinearly with the third overtone mode. An interesting effect was observed that the frequency shift (drive level dependency) was greater for when the 3rd harmonic 3f frequency was higher than the 3rd overtone f3 frequency, especially for the AT-cut resonators.

Original languageEnglish (US)
Title of host publication2018 IEEE International Ultrasonics Symposium, IUS 2018
PublisherIEEE Computer Society
ISBN (Electronic)9781538634257
DOIs
StatePublished - Dec 17 2018
Event2018 IEEE International Ultrasonics Symposium, IUS 2018 - Kobe, Japan
Duration: Oct 22 2018Oct 25 2018

Publication series

NameIEEE International Ultrasonics Symposium, IUS
Volume2018-October
ISSN (Print)1948-5719
ISSN (Electronic)1948-5727

Other

Other2018 IEEE International Ultrasonics Symposium, IUS 2018
Country/TerritoryJapan
CityKobe
Period10/22/1810/25/18

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Keywords

  • amplitude-frequency effects
  • f-2f-3f frequency response
  • nonlinear frequency response curves
  • nonlinear quartz resonators
  • nonlinear vibrations

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