Modeling of piezoelectric devices with the finite volume method

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
V BolboriciM C Pugh

Abstract

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.

References

May 30, 2001·Journal of Pharmaceutical and Biomedical Analysis·A A Syed, M K Amshumali
Jan 1, 1990·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·R Lerch
Nov 28, 2009·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Clement Nadal, Francois Pigache

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Citations

Feb 2, 2012·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Valentin BolboriciMary C Pugh

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