Modele reduction methods in nonlinear vibroacoustic

Structures subjected to vibrations are found in various applications. In many cases, they behave ina linear way, but when the amplitudes of the oscillations become important, it causes a nonlinearbehavior. Moreover, the oscillations of structures in a fluid field lead to a fluid-structureinteraction. This thesis focuses on the modeling of nonlinear fluid-structure problem. Differentkind of nonlinearities are studied in this work including the large-displacement nonlinearitycharacteristic of thin structures, the localized geometrical nonlinearity describing a nonlinear linkbetween two structures, and the acoustic nonlinearity characteristic of very high levels ofpressure.Modeling such problems are time and memory consuming, that may lead to a limitations of themodel. Therefore, it is necessary to solve a large matrix system (either symmetric or not)generated by the finite element method and the resolution needs an evaluation of the nonlinearforce at each iteration. In order to reduce the computational cost, model reduction with reducedbases combined with parallelization of the nonlinear force evolution is proposed as an alternative tothe resolution of complete systems. Building reduction bases must be adapted to each concernedproblem. The eigenmode of the linear problem is a first approximation and it is enriched withinformation coming from both coupling and nonlinear behaviors.

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Source https://theses.hal.science/tel-00933423
Author Gerges, Youssef
Maintainer CCSD
Last Updated May 7, 2026, 08:29 (UTC)
Created May 7, 2026, 08:29 (UTC)
Identifier NNT: 2013BESA2025
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST) ; Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) ; Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)
creator Gerges, Youssef
date 2013-07-10T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-31T00:00:00
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