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The Thermal Effect of Metal Electrodes on Thickness-Shear Vibrations of Crystal Plates

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4 Author(s)
Ji Wang ; Ningbo Univ., Ningbo ; Jianke Du ; Lijun Shen ; Zhihua Yang

The effectiveness of theoretical approaches based on the initial thermal field on vibrations elastic solids has been demonstrated by a series of analyses concerning the thermal behavior of crystal resonators with results in good agreement with measurements. These equations have been implemented in a finite-element method in addition to simple analytical solutions we are familiar with. Starting with an infinite plate under a temperature increase in both crystal and metal layers, the frequency equation based on incremental thermal field formulation is obtained and solved analytically for thickness-shear vibrations with electrodes of different metals and configuration. Numerical examples show that the thermal effect of thicker electrodes on frequency-temperature relations of thickness-shear vibrations of AT-cut quartz crystal plates are generally positive and should be considered in the design process.

Published in:

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control  (Volume:54 ,  Issue: 11 )