Control of electroactive shear waves in a piezoelectric waveguide by different surface actions

Abstract

Abstract In various cases of electromechanical surface actions, the problems of surface control of the propagation of an electroactive transverse wave in a piezoelectric waveguide (piezoelectric class 6 mm of hexagonal symmetry) are considered. In both problems, one of the surfaces of the piezoelectric waveguide is mechanically free, and an electrical displacement normal to the surface acts. The second surface of the waveguide is firmly clamped and grounded, in one task, or there is a drift of electrons over the surface and there are no mechanical effects, in another task. The formulated initial boundary value problems are solved by the method of Fourier series. True electromechanical fields are built in the form of series of eigenmodes of electroacoustic oscillations in accordance with the harmonics of surface effects. Analytical and numerical calculations of the control process in cases of surface action are given.