Description of the Resonances of Short Solid Barium Titanate Cylinders

The distributions of axial and radial vibration on the plane surfaces of short solid cylinders (disks) of barium titanate were experimentally determined for a number of modes. A vibration mode chart was prepared, to relate the types and frequencies of the prominent modes to the cylinder size and geometry. The electrical and mechanical aspects of the disk vibration indicate that there is no simple relationship between the electrical and mechanical measurements that are indicative of vibration amplitudes in different modes. A tentative explanation of this phenomenon is suggested by the experimentally disclosed existence of circulating currents in the disk electrodes.