title: Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle.
abstract: 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.
authors: Laboratoire Plasma et Conversion d'Energie, Ecole Nationale Superieure d'Electrotechnique, d'Electronique, d'Informatique, d'Hydraulique et des Telecommunications, Universite de Toulouse, INP, UPS, F-31071Toulouse cedex 7, France.
authors: Clement
authors: C
authors: Nadal
authors: Francois
authors: F
authors: Pigache
mesh_terms: D000465:Algorithms; D017076:Computer-Aided Design; D004581:Electronics / Q000295:instrumentation*; D004735:Energy Transfer; D004867:Equipment Design; D019544:Equipment Failure Analysis; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity