Paper
21 August 2001 Thin plate electrostrictive element for active vibration control
Frederic Pablo, Daniel L. Osmont, Roger Ohayon
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Abstract
Electrostrictive materials have been widely studied for the last decade with the view of integrating them in smart structures. Many three-dimensional finite element models have then been elaborated to simulate these structures behavior but no two-dimensional models have been presented up to now. The aim of this article is thus to set out the elaboration of a thin plate electrostrictive finite element for PMN-PT type ceramics used as actuators. This element is developed for dynamic purposes and thus takes into account phenomena induced by applying to the patch a cycling electric field. The finite element formulation is based on electromechanical constitutive equations derived in a previous paper, mechanical and electrical considerations and direct a priori plate assumptions. The electrostrictive finite element is here derived using techniques inspired from a piezoelectric finite element. This method has the particular property of reducing the initial electromechanical problem to a purely mechanical problem based on a modified elastic constitutive law. The electrical unknowns are then explicitly derived from the mechanical displacements. This method considerably simplifies the resolution of the problem since classical finite elements for laminated plates can be used to model the electrostrictive plate with a modified constitutive law.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Frederic Pablo, Daniel L. Osmont, and Roger Ohayon "Thin plate electrostrictive element for active vibration control", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); https://doi.org/10.1117/12.436496
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Cited by 5 scholarly publications.
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KEYWORDS
Actuators

Ceramics

Active vibration control

Device simulation

Finite element methods

Chromium

Polarization

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