The influence of deposited electrodes on longitudinally vibrating resonators

Abstract

The resonance frequency of the longitudinal vibrations of rods, and of the extensional and shear vibrations of plates is influenced by electrodes. It was found experimentally that the relative change in resonance frequency caused by depositing electrodes is proportional to the ratio of the masses of the electrodes and resonator. The paper gives the theoretical derivation of an expression for the proportionality constantK for longitudinal types of vibrations of plates and rods. The proportionality constantK is dependent on the density, elastic properties and dimensions of the piezoelectric resonator and electrodes. The theoretical behaviour of the constantK for a piezoelectric resonator of orientation GT is compared with the experimentally obtained values.