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Dynamics of piezoelectric structures with geometric nonlinearities: A non-intrusive reduced order modelling strategy

Abstract : A reduced-order modelling to predictively simulate the dynamics of piezoelectric structures with geometric nonlinearities is proposed in this paper. A formulation of three-dimensional finite element models with global electric variables per piezoelectric patch, and suitable with any commercial finite element code equipped with geometrically nonlinear and piezoelectric capabilities, is proposed. A modal expansion leads to a reduced model where both nonlinear and electromechanical coupling effects are governed by modal coefficients, identified thanks to a non-intrusive procedure relying on the static application of prescribed displacements. Numerical simulations can be efficiently performed on the reduced modal model, thus defining a convenient procedure to study accurately the nonlinear dynamics of any piezoelectric structure. A particular focus is made on the parametric effect resulting from the combination of geometric nonlinearities and piezoelectricity. Reference results are provided in terms of coefficients of the reduced-order model as well as of dynamic responses, computed for different test cases including realistic structures.
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https://hal-cnam.archives-ouvertes.fr/hal-03500725
Contributor : Marie-Liesse Bertram Connect in order to contact the contributor
Submitted on : Thursday, September 22, 2022 - 9:48:37 AM
Last modification on : Wednesday, September 28, 2022 - 5:53:41 AM

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Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

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Arthur Givois, Jean-François Deü, Olivier Thomas. Dynamics of piezoelectric structures with geometric nonlinearities: A non-intrusive reduced order modelling strategy. Computers & Structures, 2021, 253, pp.106575. ⟨10.1016/j.compstruc.2021.106575⟩. ⟨hal-03500725⟩

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