SH WAVE DISPERSION OF THE FUNCTIONALLY GRADED PIEZOELECTRIC HOLLOW CYLINDER

In this paper, the SH wave propagation in a functionally graded piezoelectric hollow cylinder is studied. With the piezoelectricity of an orthotropic symmetry, the wave equations and system matrices for state vector are obtained for SH wave propagating along the circumferential direction. The displacement under a transient load is solved for the calculation of the dispersion spectra with gradient profile under electrically open or closed boundary. It is found that the circumferential propagation of SH wave is coupled to the electric field. The zero-order mode SH0 is non-dispersive under the electrically open boundary, while it is dispersive under the electrically closed boundary, and the linear gradient profile has relatively more influence on the latter case. This result provides the theoretical base for the excitation and detection of the SH wave in an inhomogeneous hollow cylinder.