Resonance frequency spectra with convergence tests of piezoceramic disks using the finite element method

摘要

Several authors have presented resonance frequency spectra of piezoceramic disks calculated using the Finite Element (FE) method, but the accuracy in these frequency spectra has often not been very high, with relative errors of up to several percent in the calculated resonance frequencies. In the present work, frequency spectra with a maximum relative error of 150 ppm in all calculated resonance frequencies are presented for some of the materials which have been subjected to similar analyses in earlier works; PZT-SA, PZT-SH, PbTiO3, BaTiO3 and Pb(ZrTi)O-3. The bound for the relative error is found using an a priori error estimator for the calculation of resonance frequencies of piezoceramic disks using the FE method. The error estimator is found based on convergence tests for disks of different piezoceramic materials with varying diameter over thickness ratios. Some work on a corresponding error estimator for electrical and mechanical response functions is also presented. [References: 44]