Coupled vibration of piezoelectric ceramic circular vibrators as the piezoelectric effect considered

The coupled vibration of piezoelectric ceramic disks was studied when the piezoelectric effect is considered. Based on the piezoelectric and motion equations, introducing themechanical coupling coefficient the electric admittance and the frequency equation werederived, the relation between the axial and radial vibrations was analyzed. The resonantfrequencies of the vibrators were computed' Compared with the measured frequencies thecomputed results of this paper are better those computed by one dimensional theory.