Linear model of the contoured resonators

Author

Detaint, J. ; Carru, H. ; Schwartzel, J. ; Capelle, B. ; Zarka, A.

Author_Institution

CNET, Bagneux, France

fYear

1988

Firstpage

19

Lastpage

28

Abstract

An analysis based on the approximate equation for the thickness vibration established by H.F. Tiersten (1976, 1979, 1982, 1986) and coworkers is presented. A semi-algebraic method of resolution are investigated for partially or totally contoured resonators. In this method, the eigensolutions at V=0 are obtained by separation of the approximate equation in transformed rectangular or polar coordinates for the different regions of the resonator. A totally numerical solution of the approximate equation by the finite-element method is then proposed. The method can be used for practically any type of thickness-mode resonator. It is applied here to some typical examples of contoured resonators. The results are compared with those obtained with the previous method and with experimental results

Keywords

crystal resonators; approximate equation; contoured resonators; eigensolutions; experimental results; finite-element method; linear model; polar coordinates; semi-algebraic method; thickness vibration; thickness-mode resonator; totally numerical solution; Boundary conditions; Dispersion; Electrodes; Equations; Frequency; Metallization;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1988., Proceedings of the 42nd Annual

Conference_Location

Baltimore, MD

Type

conf

DOI

10.1109/FREQ.1988.27576

Filename

27576