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Article Dans Une Revue Computers & Structures Année : 2023

Nonlinear model order reduction of resonant piezoelectric micro-actuators: An invariant manifold approach

Résumé

This paper presents a novel derivation of the direct parametrisation method for invariant manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric structures, with a particular emphasis on applications to Micro-Electro-Mechanical-Systems. The constitutive model adopted accounts for the hysteretic and electrostrictive response of the piezoelectric material by resorting to the Landau-Devonshire theory of ferroelectrics. Results are validated with full-order simulations operated with a harmonic balance finite element method to highlight the reliability of the proposed reduction procedure. Numerical results show a remarkable gain in terms of computing time as a result of the dimensionality reduction process over low dimensional invariant sets. Results are also compared with experimental data to highlight the remarkable benefits of the proposed model order reduction technique.
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hal-04205918 , version 1 (13-09-2023)

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Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales

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Andrea Opreni, Giorgio Gobat, Cyril Touzé, Attilio Frangi. Nonlinear model order reduction of resonant piezoelectric micro-actuators: An invariant manifold approach. Computers & Structures, 2023, 289, pp.107154. ⟨10.1016/j.compstruc.2023.107154⟩. ⟨hal-04205918⟩
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