Wave propagation in the piezoelectric hollow cylinder
压电空心圆柱中波的传播

In this article, the wave propagation in the piezoelectric hollow cylinder is investigated by applying 3-D piezoelectric elastic axial symmetric model. While the cylinder has piezoelectric property, its guided wave very differs with the non-piezoelectric cylinder. When the wavelength tends to zero, the velocity of simulation-P wave (sim-P wave) in the piezoelectric cylinder asymptotically tends to the quasi-P wave velocity of transverse isotropic elastic body, but the velocity of sim-P wave in the non-piezoelectric cylinder asymptotically tends to the P wave velocity of 1-D bar model. The sim-SV wave in the piezoelectric cylinder has the standing wave phenomenon. The SH wave is independent of electric field, so the piezoelectric and non-piezoelectric cylinders have the same frequency dispersion curves about SH wave. In this paper, using Integral Transform Method to combine the boundary condition and the governing equations together, a group of dynamics equations, which are about the displacements and electric potential, is derived. To the assured boundary condition, the guided-wave condition and the frequency dispersion equations are obtained. Above such solution, the transient responses under a stress pulse at the end are simulated. At last the effect to the wave propagation about the radius' ratios of the hollow cylinders is discussed.