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We have extended the calculation procedure to cylindrical samples of anisotropic crystals for RUSpec measurements. The deformation is expressed with Chebyshev polynomials and the Rayleigh-Ritz method is used. We concentrated on anisotropic materials which can be more complicated for the formulation of vibration frequencies. The formulation is angular dependent with cylindrical coordinates. The calculation...
Slow thickness shear vibrations in AT-cut quartz plates driven by a lateral electric field produced by surface electrodes are analyzed theoretically. Mindlin's first-order theory of piezoelectric plates is used. Through an electrically forced vibration analysis, the motional capacitance and mode shapes near resonances are obtained. The effects of the electrode gap, the electrode/plate mass ratio R...
In the design and optimization of quartz crystal resonators, the finite element method has been adopted for the analysis of quartz crystal plates with complications for the vibration frequency and mode shapes. Further extension of such analysis can be made by using complex solutions to extract the electrical parameters of quartz crystal resonators because it is a typical electronic component in circuit...
Energy harvesting from human motion faces with challenges including low-frequency and non-harmonic excitation. This paper presents a novel impact-excited energy harvesting system using a bilayer structure which is composed of a buckled piezoelectric beam and a rubber plate with a certain spatial separation. When the rubber plate is excited by the low frequency human gait impulse, it would touch the...
Quartz crystal resonators of circular type are widely used for frequency control and detection functions with the quartz crystal plate vibrating at the thickness-shear mode. Naturally, vibrations of circular quartz crystal plates are of great interests in the design and optimization of resonators. We have derived the Mindlin plate equations for the thickness-shear vibrations of circular plates in...
The thickness-shear vibration of c-axis tilted 430 ZnO thin film, one side of it is contacted with a layer of viscous conductive liquids is analyzed. The frequency equation has been derived from the three-dimensional linear piezoelectricity theory. The effects of conductivity on the shift in the resonant frequency has been analyzed and discussed in detail. By setting the density, the viscous coefficient...
Cylinders of elastic solids are widely used in various mechanical and electrical structures for many purposes including structural and functional elements. Vibrations of cylinders are of interests for the optimal design and enhanced performance through the consideration of structural and material parameters. By extending earlier work on free vibrations of an elastic cylinder based on the expansion...
According to the linear piezoelectric theory, the frequency equation of thickness shear vibration is obtained for investigating the ZnO thin film with a layer of viscoelastic media. Fortunately, some useful results are harvested. From these results, we find that the relative resonant frequency significantly increases when the viscous coefficient is in the range of 0–2Ns/m2. The relation between the...
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