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Symmetrization Procedure for Structure- Fluid Cavity System Involving Pseudostatic Correction

type de publication      communication internationale avec actes publiés
date de publication 2009
auteur(s) Alia Ahlem; Aquelet Nicolas; Souli Mhamed
conférence 39th AIAA Fluid Dynamics
     dates de 22-06-2009 à 25-06-2009
     lieu San Antonio, Texas, USA
     nom des actes 39th AIAA Fluid Dynamics Conference 2009
pages 2454 – 2466
ISBN / ISSN 978-1-61567-352-0
résumé This paper deals with a pressure-displacement formulation based on finite element method of an elasto-acoustic coupling problem. The direct solution of the resulting system is often CPU intensive. To overcome this problem, only some structural modes in vacuum and some rigid cavity modes are always used. However, this classical pressure-displacement formulation leads to unsymmetrical eigenvalue problems. In addition, if this method seems to be accurate for weak coupling, it can lead to significant errors when the truncated modes are coupled to some kept modes in the analysis. In this paper, we propose a method combining the pseudostatic correction of the truncated modes in modal analysis with a symmetrization technique of the eigenvalue problems. It allows the calculation of the real coupled modes and frequencies as well as the computation of an accurate elasto-acoustic response, even for strong coupling of a structure with a heavy fluid (liquid), using less CPU time then the classical method since it leads to a diagonalized system.
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