Measurement of planar poisson’s ratio for piezoceramic disks.

Abstract

Previous methods for a determination of a planar Poisson’s ratio in ferroelectric ceramic disks were proposed for thin disks. If a thickness of a disk strongly affects the vibrations, we get error in determination of Poisson’s ratio in usage 1-D theory of disk vibrations. Planar Poisson’s ratio in this work has been determined from an overtone method and a resonant method for a thick piezoceramic disk. The theoretical and the experimental contour modes with different types of vibrations symmetry have been compared in the resonant method. For the first theoretical contour mode the thickness correction was applied. The first order contour resonant frequency was determined in the experiment after the cutting of split electrodes. The overtone method is based on the solution of three-dimensional problem of vibrations of a finite cylinder. Only one experiment is needed in the overtone method. The obtained results have been compared with the handbook data. It may be concluded that the proposed methods provide an accurate determination of planar Poisson’s ratio in thick piezoelectric ceramic disks, when all experimentally measurements were made on the single piece of the piezoceramic material.