Forced Thickness-Shear and Flexural Vibrations of Piezoelectric Crystal Plates

Abstract

An approximate theory is given for the vibrations of piezoelectric crystal plates in thickness‐shear and flexural modes, including the interaction between the elastic and electric fields. The problem of the rectangular, AT, quartz plate is solved and computed frequencies are compared with measurements by Sykes. Algebraic formulas are obtained relating resonant frequencies with dimensions, elastic and electric constants, and orientation of cut.