A two‐dimensional theory for high‐frequency vibrations of piezoelectric crystal plates with or without electrodes

摘要: Two‐dimensional equations of motion successively higher‐order approximations for piezoelectric crystal plates with triclinic symmetry are deduced from the three‐dimensional linear piezoelectricity by expansion in series trigonometric functions thickness coordinate plate. These equations, complemented two additional relations: one, usual relation face tractions to mass electrodes, and other relating charges potentials displacements, can accommodate either traction charge boundary conditions at faces plate without electrodes or potential electrodes. Dispersion curves obtained first‐ fourth‐order approximate a rotated 45° Y‐cut lithium tantalate these compared those frequency equation close agreement. Solutions force...