Title :
Analytical expressions for the time-domain displacement response of a piezoelectric plate resonator
Author :
Üstündag, A. ; Ludwig, R. ; Levin, P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Worcester Polytech. Inst., MA, USA
fDate :
7/1/1995 12:00:00 AM
Abstract :
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.<>
Keywords :
crystal resonators; time-domain analysis; convergence; finite element algorithm; numerical method; one-dimensional series; piezoelectric plate resonator; time-domain displacement response; voltage-driven step function excitation; Acoustic reflection; Delay; Dispersion; Displays; Electrodes; Equations; Finite element methods; Frequency dependence; Time domain analysis; Time series analysis;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on