Radial vibration of the combination of a piezoelectric ceramic disk and a circular metal ring

摘要

The radial vibration of the combination of a thin piezoelectric ceramic disk and a thin circular metal ring that are clamped together in the radial direction is analyzed. This type of combination of a piezoelectric ceramic disk and a circular metal ring can be used as the active elements in moonie and cymbal transducers and actuators. In this paper, the radial vibrations 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 on electro-mechanical equivalent circuits and using the radial boundary conditions, the electro-mechanical equivalent circuit of the combination of a piezoelectric ceramic disk and a circular metal ring is given and its radial frequency equation is obtained. The relationships between the resonance frequency, the anti-resonance frequency, and the effective electro-mechanical coupling coefficient and the geometrical dimensions are analyzed. The radial vibrational velocity ratio or the radial vibrational velocity magnification is studied. It is illustrated that the theoretical radial resonance and anti-resonance frequencies from the frequency equation are in good agreement with the measured results.