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Contrôle actif des vibrations de structures élancées FGPM

Abstract : The aim of this thesis is to show the feasibility and the efficiency of active vibration control by structures made of functionally graded piezoelectric materials (FGPM). One bloc structure, made of FGPM, with piezoelectric properties embedded, is used to replace classical intelligent structures (a host structure equipped with piezoelectric patches) and to remove their disadvantages (stresses concentrations near interface, delamination of patches, …).This study focuses on the FGPM’s modelization, in particular on the graded behavior laws and on the development of finite elements of FGPM beams and plates. Two finite element are implemented, a beam element based on Timoshenko’s kinematics and a plate element based on an adaptive kinematics. Both elements have a numerical layers approximation for the electrical potential. These two elements are used for active vibration control simulations. In the beam case, the system is governed by a linear quadratic regulator. Otherwise, for the plate a fuzzy decentralized regulator is developed and used. Both systems beam and plate are observed thanks to a Luerberger’s observer. Static studies show the behavior of FGPM depending on the material gradation. In addition, active vibration simulations show the feasibility of control with both systems and the ability of fuzzy regulator to accommodate to sudden changes on external perturbations.
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Jonas Maruani. Contrôle actif des vibrations de structures élancées FGPM. Mécanique [physics]. Université de Nanterre - Paris X, 2019. Français. ⟨NNT : 2019PA100062⟩. ⟨tel-02895201⟩

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