Title :
Linear model of the contoured resonators
Author :
Detaint, J. ; Carru, H. ; Schwartzel, J. ; Capelle, B. ; Zarka, A.
Author_Institution :
CNET, Bagneux, France
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;
Conference_Titel :
Frequency Control Symposium, 1988., Proceedings of the 42nd Annual
Conference_Location :
Baltimore, MD
DOI :
10.1109/FREQ.1988.27576
