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Modélisation des actionneurs piézoélectriques pour le contrôle des systèmes complexes

Abstract : The last discoveries and technology advances in understanding materials and in computation have contributed in the proliferation of the so-called smart materials with a wide applications scope. This thesis enrolls in the frame of piezoelectric actuators rather than pure material considerations. We aim to enhance their models' libraries in order to ease their integration in complex systems design. These models should take into account as more as possible the nonlinear effects (such as hysteresis) while remaining easy to handle. For this purpose we make a link between materials specialists and the field of engineers. We firstly analyze the constitutive equations of piezoelectricity with respect to operating conditions. This allows us to deduce a first analog model. This is then translated into bond graph. The obtained models are translated in block-diagrams. The established models in this step differ from those proposed by commercial package in such a way that they better integrate the dynamic nature of the actuator independently of the other parts of the structure. In fact we proposed two types of models. The first one only takes into account the first resonance mode while the second one takes into account two resonances. Thereafter, we suggested models taking into account nonlinearities and hysteresis. The Preisach approach was adopted for static hysteresis. Then we adapted Voigt approach in order to account for dynamic hysteresis. The two approaches were then merged in order to have a complete model.
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Submitted on : Wednesday, February 16, 2011 - 10:23:38 AM
Last modification on : Saturday, June 25, 2022 - 7:48:40 PM
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  • HAL Id : pastel-00006312, version 1


Abdou-Fadel Boukari. Modélisation des actionneurs piézoélectriques pour le contrôle des systèmes complexes. Sciences de l'ingénieur [physics]. Arts et Métiers ParisTech, 2010. Français. ⟨NNT : 2010ENAM0030⟩. ⟨pastel-00006312⟩



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