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Modeling of piezoelectric devices with the finite volume method

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3 Author(s)
Valentin Bolborici ; University of Toronto, Toronto, ON, Canada ; Francis P. Dawson ; Mary C. Pugh

A partial differential equation (PDE) model for the dynamics of a thin piezoelectric plate in an electric field is presented. This PDE model is discretized via the finite volume method (FVM), resulting in a system of coupled ordinary differential equations. A static analysis and an eigenfrequency analysis are done with results compared with those provided by a commercial finite element (FEM) package. We find that fewer degrees of freedom are needed with the FVM model to reach a specified degree of accuracy. This suggests that the FVM model, which also has the advantage of an intuitive interpretation in terms of electrical circuits, may be a better choice in control situations.

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IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control  (Volume:57 ,  Issue: 7 )