Analytical expressions for the time-domain displacement response of a piezoelectric plate resonator

摘要

An analytical one-dimensional series solution for the time-domain displacement response of a piezoelectric plate is derived. Rather than the usual charge driven electric boundary value formulation, this paper develops the solution for a voltage-driven step function excitation where one electrode is stress-free and the other is displacement fixed. The advantage of this rapidly converging series lies in the ability to test numerical methods such as piezoelectric finite element time domain (FETD) algorithms.