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Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle

Nadal, Clément and Pigache, François Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle. (2009) IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 56 (11). 2530-2543. ISSN 0885-3010

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Official URL: http://dx.doi.org/10.1109/TUFFC.2009.1340


This work deals with a general energetic approach to establish an accurate electromechanical model of a piezoelectric transformer (PT). Hamilton’s principle is used to obtain the equations of motion for free vibrations. The modal characteristics (mass, stiffness, primary and secondary electromechanical conversion factors) are also deduced. Then, to illustrate this general electromechanical method, the variational principle is applied to both homogeneous and nonhomogeneous Rosen-type PT models. A comparison of modal parameters, mechanical displacements, and electrical potentials are presented for both models. Finally, the validity of the electrodynamical model of nonhomogeneous Rosen-type PT is confirmed by a numerical comparison based on a finite elements method and an experimental identification.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5306733
HAL Id:hal-00780461
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:17 Jan 2013 15:40

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