The force-frequency effects and their frequency turn-over temperature characteristics for SC-cut quartz resonators

Author

NAKAZAWA, Mitsuo ; Michida, Toshifumi

Author_Institution

Shinshu Univ., Nagano, Japan

fYear

1997

fDate

28-30 May 1997

Firstpage

579

Lastpage

587

Abstract

This study was conducted, both theoretically and experimentally, to investigate nonlinear stress effects for in-plane diametric force-induced frequency shifts in circular SC-cut resonators. The frequency temperature characteristics under stressed SC-cuts are also discussed. The theory was expanded using the force-coefficients defined by the elastic stiffness constants. The quadric formula between the frequency, turn-over temperatures and the magnitudes of applied in-plane diametric forces is also discussed

Keywords

crystal resonators; eigenvalues and eigenfunctions; elastic constants; quartz; stress effects; SC-cut quartz resonators; SiO₂; circular SC-cut resonators; elastic stiffness constants; force-coefficients; force-frequency effects; frequency turn-over temperature characteristics; frequency-temperature characteristics; in-plane diametric force-induced frequency shifts; nonlinear stress effects; quadric formula; stressed SC-cuts; Azimuth; Capacitance; Force measurement; Frequency; Hysteresis; Impedance measurement; Least squares approximation; Least squares methods; Temperature; Thermal stresses;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1997., Proceedings of the 1997 IEEE International

Conference_Location

Orlando, FL

Print_ISBN

0-7803-3728-X

Type

conf

DOI

10.1109/FREQ.1997.638707

Filename

638707