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Modal Synthesis and Dynamical Condensation Methods for Accurate Piezoelectric Systems Impedance Computation

¹ FEMTO-ST, Dept Applied Mechanics: UMR-CNRS 6174, and International Joint Research Unit: UMI2958 Georgia Tech-CNRS, 24 Chemin de l'Epitaphe, 25000 Besancon, France
² G.W Woodruff School of Mechanical Engineering, 113 Erskine Love Building, Atlanta, GA 30332-0405, USA

^* To whom correspondence should be addressed.

	Abstract

This article proposes a new, simple and efficient approach, allowing one to reduce and construct piezoelectric super elements guaranteeing an accurate representation of the electrical impedance without the need for static correction. This allows the electronic coupling to be fully addressed in the optimization of passive shunted piezoelectric transducers, energy harvesting piezoelectric systems or dense distributed transducers. The model obtained through this approach is also versatile, of small size, and is therefore quite tractable for use in intensive computation algorithms. Two example systems are used to demonstrate the numerical accuracy and convergence properties of the proposed approach.

Key Words: piezoelectric modeling, substructuring, model condensation, electric impedance.

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