Analysis of Frequency Characteristics for Flexural Mode Tuning Fork Type Quartz Crystal Resonator, Taking Account of Thickness

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  • 厚みを考慮した音叉型屈曲水晶振動子の周波数特性の解析 (1989年春季講演会)
  • 厚みを考慮した音叉型屈曲水晶振動子の周波数特性の解析
  • アツミ オ コウリョシタ オンサガタ クッキョク スイショウ シンドウシ ノ

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An object of this paper is to clarify resonant frequency and frequency temperature characteristics of a flexural mode tuning fork type quartz crystal resonator, taking account of plate thickness, rotary inertia, and shear force. A tuning fork type quartz crystal resonator can be considered as two cantilevers. Therefore, equations of motion for the resonator derived from an energy method are solved with the boundary condition of a free-clamped end. Consequently, the obtained frequency equation is expressed as a function of width, length, and thickness. From this equation, resonant frequency and frequency temperature coefficients versus a dimensional ratio are calculated. These results are Compared with the measured values.

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