Frequencies of piezoelectrically forced vibrations of electroded, doubly rotated, quartz plates

Abstract Two-dimensional equations of motion or piezoelectric crystal plates, obtained from the three dimensional equations of linear piezoelectricity by expansion in power series of the thickness coordinate of the plate, are solved for forced vibrations of electroded SC-cut quartz plates. Results of computations are given for frequencies of simple thickness modes of vibration, for the dispersion of straight-crested waves and for frequencies of vibration of a strip, along with its dimensional ratios for minimal coupling of the fundamental thickness-shear mode with overtones of flexure, face-shear and thickness-twist.