A critical evaluation of the determination of high-order elastic stiffnesses of quartz

Author

Nosek, Jaroslav

Author_Institution

Tech. Univ. of Liberec, Czech Republic

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

324

Lastpage

328

Abstract

The paper deals with the critical evaluation of the methods used in our previous papers concerning the determination of the high-order material constants in the quartz. We have determined the effective elastic constants of 4th order using a measurement of the intermodulation products, and measurement of drive level dependence of resonant frequency of quartz resonators. The computer based-method of solution of the set of equations gives an access to obtain the effective non-linear stiffnesses of 4th order. The measurements and computer solutions are performed on different Y-cuts resonators, both for quartz and gallium phosphate resonators, vibrating in fundamental thickness shear mode. The experimental results are discussed

Keywords

crystal resonators; elastic constants; intermodulation; piezoelectric materials; quartz; SiO₂; Y-cut resonators; amplitude-frequency effect; drive level dependence; effective elastic constants; fourth-order elastic constants; fundamental thickness shear mode; high-order material constants; intermodulation products; linear piezoelectricity; nonlinear stiffnesses; quartz; resonant frequency; Area measurement; Current measurement; Energy measurement; Frequency measurement; Nonlinear equations; Performance evaluation; Piezoelectricity; Resonant frequency; Thickness measurement; Vibration measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium and PDA Exhibition, 2001. Proceedings of the 2001 IEEE International

Conference_Location

Seattle, WA

ISSN

1075-6787

Print_ISBN

0-7803-7028-7

Type

conf

DOI

10.1109/FREQ.2001.956210

Filename

956210