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Analysis of the Effects of Electrode on Vibration of Piezoelectric Plate with Dissipation

Author: YinZuo
Tutor: DuJianKe
School: Ningbo University
Course: Solid Mechanics
Keywords: Thickness shear Electrode surface Piezoelectric crystal Piezoelectric plate Electrical boundary conditions Vibration Analysis Piezoelectric resonator Piezoelectric devices Shear Vibration Alternating voltage Filter Viscosity Plate vibration Quartz Equivalent circuit parameters Displacement Piezoelectric Acoustic wave devices Dynamic capacitance Vibration frequency
CLC: O327
Type: Master's thesis
Year: 2011
Downloads: 14
Quote: 0
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Abstract


With the continuous improvement of the frequency of the piezoelectric acoustic wave devices and acoustic wave device miniaturization, the piezoelectric material viscous dissipation the vibration performance must be considered. For the actual resonator vibration problems, the role of the electrodes also needs to be analyzed. Based viscoelastic piezoelectric theory model for the piezoelectric resonator having electrodes, by introducing a viscous coefficient of the elastic constant, considering the material viscosity of the vibration of the piezoelectric crystal plate, and analysis of the pair of electrodes of vibration frequency for practical the design of the resonator to provide a reference. Research work of this paper is mainly composed of (1) to study the role of the frequency of the vibration of the piezoelectric device of the electrode inertia. Continuous conditions of use between the electrode and the piezoelectric plate and the boundary conditions of the electric potential of the electrode surface, obtained by the analysis of the problem of linear algebraic equations, further changes in frequency of the vibration, and then analyzes the electrode and the material viscosity on the vibration frequency and other relevant the impact of the parameters. (2) study the impact of the vibration inertia and the shear stiffness of the electrodes at the same time under the action of the vibration frequency of the piezoelectric device, the use of the continuous conditions between the electrode and the piezoelectric plate and the electrode surface potential boundary condition, the line obtained by the analysis of the problem Algebraic Equations, turn-depth study of the effects of the vibration inertia and shear stiffness of the electrodes on the equivalent circuit parameters of piezoelectric devices. (3) Considering the piezoelectric viscous studied thickness shear (TSH) rotated Y-cut quartz plate in the modal vibration problems. The lower surface of the board with the equal to the thickness of the gold electrode. Mindlin board order plate theory-based vibration mode coupling, respectively, to discuss the thickness shear vibration (TSh), the bending vibration (F) and shear vibration (FS). It is worth noting that: the top and bottom of the plate electrodes with alternating voltage, and we improved electrical boundary conditions, taking into account the analytical solution. We calculate the admittance of the equivalent circuit, the dynamic capacitance and equivalent vibration circuit quality factor. (4) an order based on Mindlin plate theory, consider the stickiness of the piezoelectric thickness torsion (TT) modal rotated Y-cut quartz plate vibration problem. The plate has two pairs of electrodes, wherein a pair connected to the input voltage, and the other pair of output signals and connected with an external circuit. Such structures are widely used for the acoustic wave filter, as well as other important piezoelectric devices, such as the microbalance, the piezoelectric mass sensor, a piezoelectric gyroscope, transducer etc.. The structure of the free vibration and forced vibration. The resonant frequency, and then calculate the energy trapping form, the output voltage is determined by design dimensions.

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CLC: > Mathematical sciences and chemical > Mechanics > Vibration theory > Structural vibration
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