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- W254246404 abstract "The effect of metal electrodes on high frequency vibrations of plates has to be carefully considered in the analysis and design of quartz crystal resonators. Extensive studies have been done in the analysis of various electrode configurations, including the symmetric, asymmetric, and layered structures to predict the exact frequency and mode shapes which are important in the estimation of resonator properties and the optimal design parameters for the fundamental thickness-shear vibration mode. Through practical experiences, it is evident that the electrode structure has much stronger effects on the overtone vibrations of quartz crystal plates and resonators, but analytical solutions based on a simple physical resonator model have not been examined in earlier studies. In this paper, we start from the usual ideal model of an AT-cut quartz crystal plate covered by metal electrodes, and frequency equations, which have been obtained in earlier studies with and without the consideration of piezoelectric effect, are evaluated with known parameters to observe the changes of the vibration frequencies of different overtone modes and deformation. From calculation, it is clear that the frequency change is much large for overtone modes in comparison to the familiar fundamental vibrations of most quartz crystal resonators. The formulation can also be extended to consider the thermal effect of electrodes for the study of frequencytemperature relation of higher-order overtone modes. It is expected that by solving the familiar equations for frequency under the complication of electrodes at higher-order overtone frequencies, we should be able to refine and establish a procedure for the analysis and design which has been overlooked due to the complexity of the problem and lack of demands, which is now being promoted by the elevated frequency and miniaturization of resonators related to energy consumption reduction." @default.
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- W254246404 date "2006-01-01" @default.
- W254246404 modified "2023-09-22" @default.
- W254246404 title "THE EFFECT OF ELECTRODES ON HIGHER-ORDER OVERTONE VIBRATIONS OF THE THICKNESS-SHEAR MODE OF QUARTZ CRYSTAL PLATES" @default.
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