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Vibration optimization of an infinite circular AT-cut quartz resonator with ring electrodes

Zhu, Feng ; Wang, Bin ; Dai, Xiao-Yun ; Qian, Zheng-Hua ; Kuznetsova, Iren ; Kolesov, Vladimir ; Huang, Bin

Applied Mathematical Modelling, 2019-08, Vol.72, p.217-229 [Periódico revisado por pares]

New York: Elsevier Inc

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  • Título:
    Vibration optimization of an infinite circular AT-cut quartz resonator with ring electrodes
  • Autor: Zhu, Feng ; Wang, Bin ; Dai, Xiao-Yun ; Qian, Zheng-Hua ; Kuznetsova, Iren ; Kolesov, Vladimir ; Huang, Bin
  • Assuntos: Circular quartz resonator ; Design optimization ; Differential equations ; Electrodes ; Finite element method ; Optimization ; Quartz ; Resonant frequencies ; Resonators ; Ring electrode ; Sensor ; Thickness ; TSh vibration ; Vibration mode
  • É parte de: Applied Mathematical Modelling, 2019-08, Vol.72, p.217-229
  • Descrição: •The thickness-shear vibrations of an infinite circular AT-cut quartz resonator with ring electrodes were studied theoretically.•The influences of electrode geometry and electrode/plate mass ratios on the vibration profiles were investigated in detail.•A nearly uniform displacement distribution and mass sensitivity of the resonator was achieved by optimization.•The obtained results may provide a fundamental reference to the design and optimization of QCR sensors for microweighing. This paper presents the thickness-shear (TSh) vibration modes of an infinite circular AT-cut quartz resonator with ring electrodes. By application of 2D scalar differential equations derived by Tiersten and Smythe, we obtain the resonant frequencies and vibration amplitude distributions of thickness-shear modes in the resonator. The theoretical results have been verified in commercial FEM software COMSOL. Through numerical examples, we illustrate that the distribution of displacement fields in the center part of the ring electrode is adjustable. Furthermore, we optimize the size of the electrodes and the mass ratio of the electrode to the plate, in order to achieve a nearly uniform displacement distribution and mass sensitivity of the resonator. These results can be a theoretical guidance for design and optimization of sensors based on quartz resonators.
  • Editor: New York: Elsevier Inc
  • Idioma: Inglês

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