Kai Xian

Thickness vibration of piezoelectric plates of 6 mm crystals with tilted six-fold axis and two-layered thick electrodes

We perform a theoretical analysis of thickness vibrations in piezoelectric plates of crystals with 6mm symmetry. The six-fold axis is tilted with respect to the plate surfaces. The major surfaces of the plate are covered with two layers of electrodes of different metals. The equations of linear piezoelectricity are used for the crystal plate. The electrodes are modeled by the equations of elasticity. Thickness vibrations frequencies and modes as well as impedance are calculated and examined.

Love wave propagation in piezoelectric layered structure with dissipation.

We investigate analytically the effect of the viscous dissipation of piezoelectric material on the dispersive and attenuated characteristics of Love wave propagation in a layered structure, which involves a thin piezoelectric layer bonded perfectly to an unbounded elastic substrate. The effects of the viscous coefficient on the phase velocity of Love waves and attenuation are presented and discussed in detail. The analytical method and the results can be useful for the design of the resonators and sensors.

Effect of dissipation on a shear horizontal surface acoustic wave in a functionally graded piezoelectric material structure

We investigate the effect of viscous dissipation on the dispersive and attenuated characteristics of SH surface acoustic wave propagation in a layered piezoelectric structure, which consists of a thin functionally graded piezoelectric material (FGPM) layer bonded perfectly to an unbounded elastic substrate. The piezoelectric material is polarized in z-axis direction and the material properties change gradually along the thickness of the layer. The solutions of the dispersion relations are obtained for electrically open or shorted conditions by means of the transfer matrix method. The effects of the gradient variation of material constants on the phase velocity and attenuation are presented and discussed in detail. The analytical method and results can be useful for the design of resonators and sensors.

P2F-10 Love Wave Propagation in a Cylindrically Layered Magneto-Electro-Elastic Structure

Love wave propagation in a cylindrically layered magneto-electro-elastic structure where a piezomagnetic (or piezoelectric) material layer with initial stress is bonded to a piezoelectric(or piezomagnetic) substrate is investigated analytically. By means of transformation, the governing equations of the coupled waves are reduced to Bessel and Laplace equations. The phase velocity is numerically calculated for the magneto- electrically open and short cases, respectively, for different initial stresses. The distributions of the phase velocity, group velocity, and magneto-electromechanical coupling factor are calculated and discussed.

Effects of electrode inertia on vibration of piezoelectric plate with dissipation

In this study, we analyze the thickness-shear vibration of a simple resonator model by means of complex material constants with consideration of the electrode inertia. The effects of viscosity on frequency behavior of piezoelectric plate are presented and discussed. The results can be useful for design of the relevant resonators.

Love waves in functionally graded piezoelectric material structures loaded with viscous liquid

We investigate the properties of Love wave propagation in layered functionally graded piezoelectric material(FGPM) structures loaded with viscous liquid. The piezoelectric material is polarized in the z-direction and the material properties change gradually along the thickness of the layer. We here assume that the liquid is conductive. The solutions of dispersion relations are obtained by means of transform matrix method. The effects of the gradient variation of material constants on the phase velocity and attenuation are presented and discussed.

SH surface acoustic wave propagation in functionally graded piezoelectric material structure with dissipation

We investigate the effect of the viscous dissipation and the graded factor of functionally graded piezoelectric material (FGPM) on the dispersive and attenuated characteristics of SH surface acoustic wave propagation in a layered piezoelectric structure, which involves a thin FGPM layer bonded perfectly to an unbounded elastic substrate. The piezoelectric material is polarized in z-axis direction and the material properties change gradually along the thickness of the layer. The solutions of dispersion relations are obtained for electrically open or shorted conditions by means of transformation matrix method. The effects of the gradient variation of material constants on the phase velocity and attenuation, distribution of displacement, electric potential and shear stress are presented and discussed in detail. The analytical method and the results can be useful for the design of the resonators and sensors.

Gap Wave Propagation in Functionally Graded Piezoelectric Material Structures

Shear horizontal gap wave propagating between functionally graded piezoelectric material (FGPM) layer and a layered piezoelectric structure is investigated analytically. The electrically open conditions on strip surface are applied to solve this problem. The phase velocity can be numerically calculated for the electrically open case, with different thickness of the layer and wavenumber. The effect of the gradient variation about material on the phase velocity is discussed in detail. We find that gradient distributing of the material properties has remarkable effect on the phase velocity of the gap waves.