Intensity of resonance vibration of AT-cut quartz resonators with circular electrodes

Obtains analytical expressions for estimation of dynamic inductance and capacitance as well as the intensity of resonance vibrations of AT-cut lens-type piezoelectric element resonators with the complicated axial symmetric configurations of electrodes enabling one to determine the frequency characteristics of quartz resonators and the above-listed parameters for both harmonic and nonharmonic vibrations. Here the authors present the results of theoretical researches of the dependence of the given parameters of quartz resonators on the forms and dimensions of the crystal