Title :
The effect of the temperature on the vibration frequencies of plane-convex plate of quartz resonators
Author :
Bauer, S.M. ; Filippov, S.R. ; Semenov, B.N. ; Tovstik, P.E. ; Vorokhovsky, Y.L.
Author_Institution :
Sankt-Petersburg State Univ., St. Petersburg, Russia
Abstract :
The approximate analytical formulas for eigenvalues and vibration modes for homogeneous anisotropic plates with varied thickness are obtained. It is supposed that the vibration modes with one or some semi-waves of deformations in the thickness direction of the plate are localized near the point of maximal thickness. The influence of the irregular heating on the working frequency of the quartz resonator is studied by the perturbation method
Keywords :
crystal resonators; eigenvalues and eigenfunctions; perturbation techniques; quartz; deformations; eigenvalues; homogeneous anisotropic plates; irregular heating; maximal thickness; perturbation method; plane-convex plate; quartz resonators; semi-waves; vibration frequencies; vibration modes; working frequency; Anisotropic magnetoresistance; Boundary conditions; Capacitive sensors; Eigenvalues and eigenfunctions; Equations; Frequency estimation; Heating; Temperature; Thermal factors; Thermal stresses;
Conference_Titel :
Frequency Control Symposium, 1992. 46th., Proceedings of the 1992 IEEE
Conference_Location :
Hershey, PA
Print_ISBN :
0-7803-0476-4
DOI :
10.1109/FREQ.1992.270055
