Radial vibration of the combination of a piezoelectric ceramic disk and a circular metalring

Abstract

The radial vibration of the combination of a thin piezoelectric ceramic disk and a thincircular metal ring that are clamped together in the radial direction is analyzed. This typeof combination of a piezoelectric ceramic disk and a circular metal ring can be used as theactive elements in moonie and cymbal transducers and actuators. In this paper, the radialvibrations of a thin piezoelectric ceramic disk and a thin circular metal ring are analyzed,and their radial electro-mechanical equivalent circuits are obtained, respectively. Based onelectro-mechanical equivalent circuits and using the radial boundary conditions, theelectro-mechanical equivalent circuit of the combination of a piezoelectric ceramic disk anda circular metal ring is given and its radial frequency equation is obtained. Therelationships between the resonance frequency, the anti-resonance frequency, and theeffective electro-mechanical coupling coefficient and the geometrical dimensions areanalyzed. The radial vibrational velocity ratio or the radial vibrational velocitymagnification is studied. It is illustrated that the theoretical radial resonance andanti-resonance frequencies from the frequency equation are in good agreement with themeasured results.